Practice Line Plot (Dot Plot) in Statistics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A line plot (also called a dot plot) is a diagram that displays data values as marks — usually X's or dots — stacked above their corresponding values on a number line. Each mark represents one data point, making it easy to see the frequency of each value.

Imagine a number line where every time someone picks a number, you stack an X above it. Taller stacks mean more people chose that number. You can quickly see which values are popular.

Showing a random 20 of 50 problems.

Example 1

medium
A line plot of daily customers shows clustering at 20 to 22 and one mark far out at 40. What is this far-out value called, and does it raise or lower the mean?

Example 2

medium
A line plot shows: 0 (1), 1 (2), 2 (3), 3 (2), 4 (1). What is the median?

Example 3

easy
A line plot of test scores: 7 (1 X), 8 (2 X's), 9 (2 X's). How many students scored at least 8?

Example 4

medium
A line plot of dice rolls: 1 (2), 2 (3), 3 (3), 4 (2), 5 (1), 6 (1). What is the relative frequency of rolling a 2?

Example 5

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A line plot shows pencil lengths: 7 (2), 8 (3), 9 (1). What fraction of pencils are 8 cm long?

Example 6

easy
A line plot shows values 5,6,7 with 1, 3, 2 X's respectively. What is the range?

Example 7

hard
A line plot of 9 ages: 10 (2), 11 (3), 12 (3), 13 (1). Walk through finding the median age.

Example 8

easy
A line plot shows hours of sleep: 6 (one X), 7 (two X's), 8 (two X's). Which value is NOT a mode?

Example 9

challenge
A line plot of 6 values reads: 2 (one), 3 (two), 5 (two), 8 (one). A 7th point is added so that the mean becomes a whole number. What is the smallest non-negative integer value that can be added?

Example 10

challenge
A line plot of jelly bean counts in 5 jars has mode 7, median 7, and mean 8. Two of the values are 7 and 7. What are the other three values?

Example 11

easy
On a line plot, the X's are stacked highest above value 9. What does this tell you?

Example 12

easy
On a line plot, the value 4 has the tallest stack of X's. What is the mode of the data?

Example 13

easy
Should you use a line plot for 10,000 customer ages or for 12 students' quiz scores from 0 to 10?

Example 14

easy
A line plot shows ages: 10 (3 X's), 11 (2 X's), 12 (1 X). Which age is the median?

Example 15

medium
A line plot of survey results: 1 (1), 2 (2), 3 (4), 4 (2), 5 (1). What is the total of all the data values?

Example 16

easy
A line plot has X's stacked above values: 1 has 2 X's, 2 has 4 X's, 3 has 1 X. How many data points in total?

Example 17

easy
A line plot of siblings: 0 has one X, 1 has three X's, 2 has two X's. How many people have at least 1 sibling?

Example 18

easy
Students measured the lengths of 10 leaves (in cm): 5, 6, 5, 7, 6, 5, 8, 6, 7, 5. Create a line plot (dot plot on a number line) for this data.

Example 19

hard
Two classes made line plots of their test scores. Class A: 70 (1), 75 (3), 80 (6), 85 (4), 90 (1). Class B: 60 (2), 70 (3), 80 (5), 90 (3), 100 (2). Compare the centres and spreads of the two distributions.

Example 20

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A line plot of pets owned: 0 (5), 1 (3), 2 (1), 3 (1). What percent of families own at least 1 pet?