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 โ€” usually X's or dots โ€” 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: 00 (11), 11 (22), 22 (33), 33 (22), 44 (11). What is the median?

Example 3

easy
A line plot of test scores: 77 (11 X), 88 (22 X's), 99 (22 X's). How many students scored at least 88?

Example 4

medium
A line plot of dice rolls: 11 (22), 22 (33), 33 (33), 44 (22), 55 (11), 66 (11). What is the relative frequency of rolling a 22?

Example 5

medium
A line plot shows pencil lengths: 77 (22), 88 (33), 99 (11). What fraction of pencils are 88 cm long?

Example 6

easy
A line plot shows values 5,6,75, 6, 7 with 11, 33, 22 X's respectively. What is the range?

Example 7

hard
A line plot of 99 ages: 1010 (22), 1111 (33), 1212 (33), 1313 (11). 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 55 jars has mode 77, median 77, and mean 88. Two of the values are 77 and 77. What are the other three values?

Example 11

easy
On a line plot, the X's are stacked highest above value 99. 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: 1010 (33 X's), 1111 (22 X's), 1212 (11 X). Which age is the median?

Example 15

medium
A line plot of survey results: 11 (11), 22 (22), 33 (44), 44 (22), 55 (11). What is the total of all the data values?

Example 16

easy
A line plot has X's stacked above values: 11 has 22 X's, 22 has 44 X's, 33 has 11 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

medium
A line plot of pets owned: 00 (55), 11 (33), 22 (11), 33 (11). What percent of families own at least 11 pet?