Measurement Data & Line Plots | Grade 2 Math

Measurement Data & Line Plots — Grade 2 Math cover showing a ruler, school supplies, and X-mark measurement line plot
Grade 2 Math Hub › Unit 5: Measurement & Number Lines › Lesson 27
Grade 2 Math — Unit 5: Measurement & Number Lines

Measurement Data & Line Plots

Learn how to collect length measurements in inches or centimeters, organize them by whole-number values, and show each reading with an X on a line plot. Read and compare the measurements, find the most common measured length, and explain your reasoning with clear diagrams.

Explore 25 step-by-step worked examples, 30 independent practice problems, and a 15-question lesson test with hidden answers. Designed for Grade 2 students, teachers, parents, and homeschool families.

CCSS 2.MD.D.9Whole-number scaleMeasure in inches or cmPractice + answer keys

๐ŸŽฏ What You Will Learn

Collect measurement data

Measure several objects or repeat a measurement, and record each length to the nearest whole unit.

Make a line plot

Label an equally spaced horizontal number scale and stack one X for every measurement.

Read a line plot

Find totals, count repeated lengths, and notice lengths that were not recorded.

Explain the data

Find the most common length, compare counts, detect an incorrect plot, and use simple addition and subtraction.

Common Core alignment: This lesson focuses on CCSS 2.MD.D.9: generate length-measurement data to the nearest whole unit and represent it with line plots whose horizontal scale uses whole-number units. It builds on 2.MD.A.1 (measuring lengths), with a few comparison and addition problems connected to 2.MD.A.4, 2.MD.B.5, and Grade 2 addition fluency. Fractions of an inch are not the focus; half-inch and quarter-inch line plots are typically Grade 3 work under 3.MD.B.4.

๐Ÿง  Key Vocabulary

Measurement data

A list of recorded lengths of objects or repeated readings, with a unit for every length.

Line plot

A picture of numerical data where X marks stack above values on a number scale.

Scale

The equally spaced numbers along the bottom. In this lesson the scale goes by whole units.

Frequency

How many times a measurement occurs: count the X marks above its number.

Nearest whole unit

The whole inch or whole centimeter closest to the measured length.

Most common measurement

The length with the greatest number of X marks. There can be a tie.

Big idea: A line plot shows length measurements, not favorite colors or other categories. Every X means one measurement. If three objects all measure 5 cm, put three X marks above 5. Use the same length unit throughout one plot.

๐Ÿ“ 1. Measure and Record Lengths

Choose a ruler with centimeter or inch markings. Place one end of an object at the ruler’s zero mark, not just at the ruler’s physical edge. Record the nearest whole centimeter or whole inch. For example, a strip ending between 5 cm and 6 cm but closer to 5 cm is recorded as 5 cm to the nearest whole centimeter.

A schematic ruler: line up one end with 0. The blue strip reaches a little beyond 5 cm and is closer to 5 cm than to 6 cm.
Try it with real objects: Measure a pencil, a crayon, a paper strip, a bookmark, and an eraser using one unit. Record all five readings in a table. Real measurements can differ from the sample data in this lesson: your answers depend on the objects you measure.

❎ 2. Read One X as One Measurement

The chart below shows lengths of sample classroom strips. The stack over 4 cm has three X marks, so three strips were 4 cm long. The column over 5 cm has one X. The chart does not tell us which child measured each strip; it tells us how often each length occurred.

The height of each stack is the number of measurements of that length.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.

๐Ÿงฎ 3. Make a Line Plot from a List

Suppose four paper strips measure 2, 3, 2, and 4 inches. First sort the values (2, 2, 3, 4). Draw a line-plot scale using equally spaced labels 2, 3, 4, and 5. Place two X marks above 2, one above 3, and one above 4. Check: 2 + 1 + 1 = 4 X marks, matching four measured strips.

First count each repeated measurement; then stack one X for every reading.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.

๐Ÿ”Ž 4. Answer Questions About a Plot

The total is the number of all X marks. The most common length has the tallest stack; a blank stack means zero at that value. To compare lengths, read the shortest and longest recorded values and subtract using the same unit. A tie is possible: if two stacks are equally tallest, name both lengths.

๐Ÿ“‹ 5. Use Repeated Measurements Carefully

You can measure several objects once each, or measure the same object more than once. Keep each reading you actually record. If readings of an unchanged object differ slightly, check ruler placement, the zero mark, and how you decided which whole unit was closest. Do not secretly change a recorded number to make the plot prettier.

๐Ÿ› ️ 6. Check for Plotting Mistakes

Always use whole-number labels with equal spacing. Do not replace a stack of repeated values with just one X. A useful final check is to count every X and compare the total with the number of readings in your original list or frequency table.

Common trap: The tallest stack gives the most frequently recorded length, not necessarily the longest length. For instance, five 4-inch strips and one 7-inch strip make 4 inches the most common length, but 7 inches is the longest recorded length.

๐ŸŒŸ 25 Worked Examples

Start by reading X marks and identifying measurement values. Then make plots from lists and tables, interpret repeated measurements, correct incorrect plots, and solve multi-step measurement questions. Open each solution only after trying the problem.
1One X means one measurement
This plot shows lengths of classroom stickers. How many stickers were measured?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Look at the X marks above each whole-centimeter value.

Step 2. Count 1 X at 2 cm, 2 X marks at 3 cm, and 2 X marks at 4 cm.

Step 3. Add the counts: 1 + 2 + 2 = 5. Each X represents one sticker.

Answer: 5 stickers.
2Read the height of a stack
How many crayons measured 5 inches in the plot?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Find 5 on the evenly spaced horizontal scale.

Step 2. Look straight above 5 and count the X marks in that column.

Step 3. There are three X marks, so three crayons measured 5 inches.

Answer: 3 crayons.
3Find the total number of measurements
The plot shows paper-strip lengths. How many strips were measured in all?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
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Step 1. Count each stack: 2 cm has 2 marks, 3 cm has 3, and 4 cm has 1.

Step 2. Every X records exactly one strip, even when values repeat.

Step 3. Add 2 + 3 + 1 = 6.

Answer: 6 strips.
4Find the most common length
Which ribbon length was measured most often?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
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Step 1. Look for the tallest stack of X marks.

Step 2. The 5 cm column has four X marks; the 4 cm column has one and the 6 cm column has two.

Step 3. The tallest column is above 5 cm.

Answer: 5 cm is the most common length.
5Find the least common measured length
Which length appeared the fewest times in this sample of ribbons?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Count the marks only in columns that contain an X.

Step 2. The counts are: 1 inch has three, 2 inches has one, and 3 inches has two.

Step 3. The fewest recorded measurements are at 2 inches.

Answer: 2 inches (1 ribbon).
6Notice a length with no measurements
Did any strip measure exactly 4 cm?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
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Step 1. Find the 4 cm mark.

Step 2. There is no X directly above 4, even though the axis includes 4.

Step 3. A blank column represents zero recorded measurements of that length.

Answer: No; 0 strips measured 4 cm.
7Compare the shortest and longest measurements
What were the shortest and longest recorded stick lengths, and how far apart are they?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Locate the leftmost length with an X: 5 cm.

Step 2. Locate the rightmost length with an X: 8 cm.

Step 3. Subtract 8 − 5 = 3 cm to find how much longer the longest is.

Answer: Shortest: 5 cm; longest: 8 cm; difference: 3 cm.
8Organize a list before plotting
Five bookmarks measured 4, 6, 4, 5, and 6 cm. How many X marks go above each length?
Blank plot: draw one X above the correct length for each measurement.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Sort the recorded lengths: 4, 4, 5, 6, 6.

Step 2. Count repeated values: 4 cm occurs twice, 5 cm once, and 6 cm twice.

Step 3. Place two X marks above 4, one above 5, and two above 6.

Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Answer: 4 cm: 2; 5 cm: 1; 6 cm: 2.
9Build a plot from a list
The lengths of seven leaves are 3, 4, 3, 5, 4, 3, and 6 cm. Make a line plot.
Blank plot: draw one X above the correct length for each measurement.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. List the possible whole-centimeter lengths from 3 through 6.

Step 2. Tally the list: 3 appears three times, 4 twice, 5 once, and 6 once.

Step 3. Draw one X for every leaf above its value; verify that 3 + 2 + 1 + 1 = 7 marks.

Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Answer: 3 cm: 3; 4 cm: 2; 5 cm: 1; 6 cm: 1.
10Turn a tally table into a line plot
A chart lists 7 in: 1 string; 8 in: 3 strings; 9 in: 2 strings. Construct the line plot.
Blank plot: draw one X above the correct length for each measurement.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Write the equally spaced labels 7, 8, and 9 inches along the scale.

Step 2. Above 7 draw one X, above 8 draw three X marks, and above 9 draw two X marks.

Step 3. Count 1 + 3 + 2 = 6 marks, matching the six measured strings.

Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Answer: 7 in: 1; 8 in: 3; 9 in: 2 (6 strings).
11Keep zero-count lengths on the scale
A class measured two 5 cm items, no 6 cm items, two 7 cm items, and one 8 cm item. Show all whole-centimeter labels from 5 to 8.
Blank plot: draw one X above the correct length for each measurement.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Mark the whole-number scale 5, 6, 7, 8 with equal spacing.

Step 2. Draw two X marks over 5, none over 6, two over 7, and one over 8.

Step 3. A missing stack over 6 is meaningful: it records zero items at 6 cm.

Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Answer: 5 cm: 2; 6 cm: 0; 7 cm: 2; 8 cm: 1.
12Repeated measurements of one object
A group measured the same folder four times to the nearest whole centimeter: 11, 11, 12, and 11 cm. Which result was most common?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Record each of the four whole-centimeter readings; do not change the measurements.

Step 2. There are three readings of 11 cm and one of 12 cm.

Step 3. The most common reported length is 11 cm; a small measuring difference can occur if the ruler is placed differently.

Answer: 11 cm (three readings).
13Measure to the nearest whole centimeter
A blue paper strip begins at 0 on the schematic ruler. Its end is just beyond the 5 cm mark, closer to 5 than 6. What length should you record to the nearest whole centimeter?
A schematic ruler: line up one end with 0. The blue strip reaches a little beyond 5 cm and is closer to 5 cm than to 6 cm.
Show solutionHide solution

Step 1. Line up one end of the strip with the ruler’s 0 mark.

Step 2. Look at the end of the strip: it lies between 5 and 6 but closer to 5.

Step 3. Record the nearest whole centimeter rather than counting the tick marks.

Answer: 5 cm to the nearest whole centimeter.
14Add one more recorded length
A plot has 1 X at 2 cm, 2 X marks at 3 cm, and 1 X at 4 cm. One more strip is measured at 3 cm. What is the new 3 cm count and new total?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
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Step 1. At first, the 3 cm column has two X marks.

Step 2. Add one X above 3 cm because the new strip is 3 cm long.

Step 3. There are now 3 at 3 cm and 1 + 3 + 1 = 5 measurements altogether.

Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Answer: 3 X marks at 3 cm; 5 measurements total.
15Complete a growing set of measurements
Five lengths are already plotted: two at 4 cm, one at 5 cm, and two at 6 cm. Two new objects each measure 5 cm. Update the plot and find the total.
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Start with five marks: 2 + 1 + 2 = 5.

Step 2. Put two additional X marks above 5 cm, so that column rises to three.

Step 3. The new total is 5 + 2 = 7 marks.

Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Answer: 5 cm: 3 X marks; 7 measurements total.
16Compare two stacks
In a plot of toy-car lengths, how many more cars measured 4 inches than 5 inches?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
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Step 1. Count three X marks at 4 inches.

Step 2. Count one X mark at 5 inches.

Step 3. Compare the two groups: 3 − 1 = 2.

Answer: 2 more toy cars.
17Find both the total and the most common length
How many paper chains were measured, and which length was most common?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Add the columns: 2 at 6 cm, 3 at 7 cm, 2 at 8 cm, and 1 at 9 cm.

Step 2. The total is 2 + 3 + 2 + 1 = 8 paper chains.

Step 3. The tallest column is 7 cm, with three X marks.

Answer: 8 paper chains; 7 cm was most common.
18Compare the longest and shortest ruler readings
The plot shows whole-centimeter lengths of craft wires. How much longer is the longest recorded wire than the shortest?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Look for the smallest recorded length with an X: 10 cm.

Step 2. Look for the largest recorded length with an X: 13 cm.

Step 3. Subtract like units: 13 cm − 10 cm = 3 cm.

Answer: 3 cm longer.
19Compare two groups of measurement data
Two groups measured ribbon lengths in inches. Use both line plots to decide which group recorded more ribbons and by how many.
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Count Group A: 1 + 3 + 2 = 6 X marks.

Step 2. Count Group B: 2 + 2 + 1 = 5 X marks.

Step 3. Compare the totals: 6 − 5 = 1 more in Group A.

Answer: Group A, by 1 ribbon.
20Check a plot against the original data
A student plotted lengths 3, 3, 4, 4, and 5 cm, but put only one X above 3 cm. How many X marks belong above 3?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Count occurrences of 3 in the original measurements: there are two.

Step 2. Each measurement requires its own X, even when lengths are equal.

Step 3. The correct plot needs two X marks above 3 cm.

Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Answer: 2 X marks above 3 cm.
21Find and fix a misplaced X
A list reads 2, 3, 3, 4, 4 cm. A student drew 1 X at 2, 3 X marks at 3, and 1 X at 4. Explain a one-X correction.
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Tally the list: 2 occurs once, 3 occurs twice, and 4 occurs twice.

Step 2. The student placed one extra X above 3 and one too few above 4.

Step 3. Move one X from 3 cm to 4 cm to make each frequency correct.

Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Answer: Move one X from 3 cm to 4 cm.
22Understand a change in the most common length
The plot shows 2 objects at 6 cm, 3 at 7 cm, and 3 at 8 cm. If another 8 cm object is measured, what becomes the single most common length?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Before the new measurement, 7 cm and 8 cm are tied at three each.

Step 2. Add one X above 8 cm, raising its stack from three to four.

Step 3. Four is greater than the other counts, so 8 cm becomes the single most common length.

Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Answer: 8 cm, with 4 measurements.
23Add measured lengths, not just the X marks
Two strips are 5 cm, three are 6 cm, and one is 7 cm. What is the combined length of all six strips?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Use the plot to see the number of strips of each length.

Step 2. Compute 5 + 5 = 10 cm; 6 + 6 + 6 = 18 cm; and add the one 7 cm strip.

Step 3. Combine the lengths: 10 + 18 + 7 = 35 cm. Counting six X marks alone would not give the combined length.

Answer: 35 cm.
24Identify a tie rather than guessing one winner
A plot shows one 2-inch strip, two 3-inch strips, one 4-inch strip, and two 5-inch strips. Which lengths are equally most common?
Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Count each column: 1, 2, 1, 2.

Step 2. The largest column count is two, but that height appears at both 3 and 5 inches.

Step 3. Name both lengths rather than choosing only one.

Answer: 3 inches and 5 inches (2 each).
25Design a plot from several clues
Eight measured ribbons are between 5 and 8 inches long. There is 1 at 5 inches, 3 at 6 inches, 2 at 7 inches, and all remaining ribbons are 8 inches. How many X marks go over 8?
Blank plot: draw one X above the correct length for each measurement.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Show solutionHide solution

Step 1. Add the known counts: 1 + 3 + 2 = 6 ribbons.

Step 2. Eight total measurements were recorded, so 8 − 6 = 2 remain.

Step 3. Put two X marks above 8 inches, and check 1 + 3 + 2 + 2 = 8.

Each X stands for one measurement. Read the equally spaced whole-number scale.
↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
Answer: 2 X marks at 8 inches.

✍️ Independent Practice — 30 Problems

Directions: Solve all 30 problems before opening the answer key. On a blank line plot, draw one X for each recorded measurement. Use equal spaces for whole-number labels and include the stated length unit. Draw on paper if your screen does not allow writing on the picture. When a sample plot is labeled as a student draft, check it carefully rather than assuming it is correct.

  1. Count the measurements. How many lengths are shown in this paper-tag plot?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  2. Read a stack. How many popsicle sticks measure 4 inches?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  3. Find the most common. Which is the most common eraser length?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  4. Least common measured length. Which whole-inch length was measured the fewest times in this set?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  5. A missing column. How many objects measured exactly 5 cm?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  6. Shortest and longest. What are the shortest and longest recorded jump lengths, and what is the difference?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  7. Tally a short list. The lengths are 3, 5, 4, 3, and 4 cm. Fill the blank plot. How many X marks belong at 3 cm?
    Blank plot: draw one X above the correct length for each measurement.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  8. Build a line plot. Measurements in inches: 6, 7, 6, 8, 7, 6. Create a line plot. Give the count above each value.
    Blank plot: draw one X above the correct length for each measurement.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  9. Use a frequency table. A table reports 3 cm: 1, 4 cm: 2, 5 cm: 3. Make a line plot and count the measurements.
    Blank plot: draw one X above the correct length for each measurement.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  10. Add the columns. How many pieces of yarn are recorded in this line plot?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  11. Compare two counts. How many more 2-inch lengths than 3-inch lengths were recorded?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  12. Find a smallest stack. Which measured strip length occurred the fewest times?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  13. Repeated whole-centimeter readings. The same closed notebook is measured to the nearest centimeter five times: 9, 10, 9, 9, and 10 cm. Which reading is most common?
    Blank plot: draw one X above the correct length for each measurement.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  14. Count lengths shorter than a value. How many recorded pieces were shorter than 12 cm?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  15. Count at least a length. How many ribbons were at least 4 inches long?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  16. Spot a tie. In this line plot, does exactly one length occur most often? Explain.
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  17. Add a measurement. One additional 3 cm item is measured. How many 3 cm items and how many items total will there be?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  18. Find a difference between extremes. Find the difference between the longest and shortest recorded bookmark lengths.
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  19. Change the most common group. One more 7 cm measurement is added. Which lengths are now tied for most common?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  20. Plot a seven-number list. Lengths: 4, 4, 5, 6, 6, 6, and 7 inches. Make a line plot and identify its tallest stack.
    Blank plot: draw one X above the correct length for each measurement.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  21. Read a zero frequency. How many measurements are recorded altogether, and was 6 cm recorded?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  22. Check a student's claim. A student says there were only two 2-inch objects. Use the line plot to correct the statement.
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  23. Draw from a table. A measurement table lists 8 cm: 1; 9 cm: 3; 10 cm: 2. Draw a line plot. How many X marks are needed?
    Blank plot: draw one X above the correct length for each measurement.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  24. Count lengths above a threshold. How many measured strings were at least 12 cm long?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  25. Compare two groups. Group A has lengths 4 in (2), 5 in (1), 6 in (2). Group B has 4 in (1), 5 in (3), 6 in (2). Which group measured more objects, and by how many?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  26. Combine the measured lengths. The plot shows 3 strips at 4 inches, 2 at 5 inches, and 1 at 6 inches. What is their total combined length?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  27. Remove one recorded item. One of the 8 cm measurements is removed. How many remain at 8 cm, and which lengths are then tied for most common?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  28. Repair an incomplete draft. The actual measurements are 5, 6, 6, 7, 7 cm, but the displayed draft plot is missing one X. Where should it go?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  29. Plot and compare two common lengths. Lengths in inches: 5, 7, 5, 6, 7, 5, 8, 7. Draw a line plot. Which lengths tie for the greatest number of measurements?
    Blank plot: draw one X above the correct length for each measurement.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  30. Determine a missing stack. Nine objects were measured: 2 were 4 cm, 3 were 5 cm, 1 was 6 cm, and the rest were 7 cm. How many X marks belong at 7 cm?
    Blank plot: draw one X above the correct length for each measurement.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.

๐Ÿ† Lesson Test — 15 Questions

Directions: Work independently. Use a ruler and paper to draw a plot when you see a blank template. Each X must represent exactly one measurement. For comparison questions, explain your reasoning with numbers and correct units. Check the key only when you finish.

  1. Read the total. How many measurements does this line plot show?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  2. Find the tallest stack. What whole-inch length is most common?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  3. Shortest measurement. What is the shortest recorded ruler measurement?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  4. Check a blank value. Which marked length from 2 through 6 inches has no recorded measurement?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  5. Create a plot from numbers. Six measurements in cm are 2, 3, 2, 4, 3, 2. Draw a line plot and write the counts.
    Blank plot: draw one X above the correct length for each measurement.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  6. Longer than eight. How many lengths are strictly longer than 8 inches?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  7. Compare two columns. How many more objects measured 6 cm than measured 8 cm?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  8. Repeated measurements. The same box was measured to the nearest centimeter five times: 12, 11, 12, 12, 11 cm. Which recorded reading was most common?
    Blank plot: draw one X above the correct length for each measurement.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  9. Plot from frequency information. A table lists 5 in: 1; 6 in: 3; 7 in: 2. Make a line plot and give its total number of measurements.
    Blank plot: draw one X above the correct length for each measurement.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  10. Count and compare lengths. How many measurements are shown? How much longer was the longest recorded length than the shortest?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  11. Add one more length. A new 9 cm strip is measured. How many 9 cm strips and how many strips in all are then recorded?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  12. Find a mistake. The true lengths are 3, 4, 4, 5, 5 cm. A student plotted 1 X at 3, 3 X marks at 4, and 1 X at 5. What one-X move corrects the plot?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  13. Total measured length. Two strips measure 10 cm, three measure 11 cm, and one measures 12 cm. What is the combined length of all six strips?
    Each X stands for one measurement. Read the equally spaced whole-number scale.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  14. Construct and interpret. The measurements in inches are 4, 5, 4, 6, 5, 5, and 6. Draw a line plot. Which length occurs most often?
    Blank plot: draw one X above the correct length for each measurement.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.
  15. Use three clues. Nine string lengths are recorded. There are 3 at 4 inches, 4 at 5 inches, 1 at 6 inches, and the rest at 7 inches. How many X marks must be above 7 inches?
    Blank plot: draw one X above the correct length for each measurement.
    ↔ On a narrow screen, scroll sideways to read the whole plot; use arrow keys while the plot is focused.

๐Ÿ” Complete Answer Key

Keep both answer sets closed until you have finished their corresponding problems. The worked-example solutions above are also closed by default.

Show practice answer keyHide practice answer key

Practice Answers

1. 4 measurements. Count 1 + 2 + 1 = 4.
2. 3 sticks. There are 3 X marks at 4 inches.
3. 7 cm; its column has 3 X marks.
4. 3 inches; it has just 1 X mark.
5. 0 objects; there is no X above 5 cm.
6. Shortest 8 in; longest 10 in; difference 10 − 8 = 2 in.
7. 2 X marks at 3 cm; the full counts are 3:2, 4:2, 5:1.
8. 6 in: 3; 7 in: 2; 8 in: 1 (6 X marks total).
9. 3 cm: 1; 4 cm: 2; 5 cm: 3. Total: 6.
10. 5 pieces; 2 + 2 + 1 = 5.
11. 3 more; 4 − 1 = 3.
12. 5 cm, with 1 X mark.
13. 9 cm; it appears 3 times. (10 cm appears twice.)
14. 5 pieces; 2 at 10 and 3 at 11 cm.
15. 5 ribbons; 2 at 4 plus 3 at 5 = 5.
16. No. The lengths 5, 6, and 7 cm each occur twice.
17. 3 at 3 cm; 6 items total (1 + 3 + 2 = 6).
18. 2 cm; 14 cm − 12 cm = 2 cm.
19. 6 cm and 7 cm, with 3 measurements each.
20. 4:2; 5:1; 6:3; 7:1. Tallest: 6 inches (3).
21. 5 measurements; no, 6 cm has 0 X marks.
22. There are 3 at 2 inches; count the 3 X marks.
23. 6 X marks; counts are 1 over 8, 3 over 9, and 2 over 10.
24. 5 strings; 1 at 12 cm and 4 at 13 cm.
25. Group B, by 1; A has 5 and B has 6.
26. 28 inches: 4 + 4 + 4 + 5 + 5 + 6 = 28 inches.
27. 2 remain at 8 cm; 7 and 8 cm are tied at 2 each.
28. Add 1 X at 7 cm; it should have two X marks.
29. 5 in and 7 in, with 3 each. Full counts: 5:3, 6:1, 7:3, 8:1.
30. 3 X marks; 9 − (2 + 3 + 1) = 3.
Show test answer keyHide test answer key

Test Answers

1. 5 measurements; 2 + 1 + 2 = 5.
2. 8 inches, with 3 X marks.
3. 4 cm, the leftmost column with an X.
4. 6 inches has no X marks.
5. 2 cm: 3; 3 cm: 2; 4 cm: 1.
6. 4 lengths: 1 at 9 inches and 3 at 10 inches.
7. 2 more; 3 − 1 = 2.
8. 12 cm (three readings).
9. 5 in: 1; 6 in: 3; 7 in: 2. Total 6.
10. 6 measurements; difference 4 − 1 = 3 cm.
11. 2 at 9 cm; 7 strips total.
12. Move 1 X from 4 cm to 5 cm.
13. 65 cm: 10 + 10 + 11 + 11 + 11 + 12 = 65 cm.
14. 4 in: 2; 5 in: 3; 6 in: 2. Most often: 5 in.
15. 1 X at 7 inches; 9 − (3 + 4 + 1) = 1.

๐Ÿ’ก Common Mistakes to Watch For

Forgetting repeated readings

If a list contains 5, 5, 5 cm, draw three X marks over 5, not one.

Unequal spacing

From 6 to 7 should occupy the same distance as from 7 to 8 on the horizontal scale.

Mixing units

Do not put inches and centimeters on one plot as if they were the same unit.

Most common versus longest

The tallest stack shows what appears most often; the rightmost nonempty stack marks the longest measured length.

Counting numbers instead of X marks

If only three lengths appear along the scale but there are seven X marks, there were seven measurements.

Guessing before measuring

For a real object, line up the ruler correctly and record the nearest whole unit before building the plot.

๐Ÿก Family Practice Idea

Make a mini measurement lab: Gather 8–10 pencils, paper strips, or craft sticks. Measure each to the nearest whole centimeter. On paper, make a short tally table, draw equally spaced whole-centimeter labels, and place one X above the matching length for every object. Ask: How many did we measure? Which length is most common? Which lengths never appeared? How much longer is the longest than the shortest? Real readings vary, so there is no single predetermined answer key for this home activity.

๐Ÿ”— Related Lessons

Grade 2 Lesson 23 — Measure Length

Review how to use inches, feet, yards, centimeters, and meters before recording measurement data.

Grade 2 Lesson 24 — Estimate, Compare & Measure Lengths

Practice careful measurement and comparing lengths in the same unit.

Grade 2 Lesson 25 — Length Word Problems

Use addition and subtraction to compare measurement results.

Grade 2 Lesson 26 — Addition & Subtraction on a Number Line

Connect the evenly spaced scale in a line plot with a number line.

๐Ÿ–จ️ Printable Companion

Print this lesson from your browser: Use Ctrl+P (Windows) or Command+P (Mac) to print the practice problems, test, and sample line plots. Draw any missing X marks on paper. No separate PDF download is offered on this page. If you want to keep answers hidden when printing, leave the answer-key panels closed.
← Lesson 26: Addition & Subtraction on a Number LineGrade 2 Math HubNext: Lesson 28 — Tell Time to the Nearest Five Minutes: a.m. & p.m. →

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