Histograms and Box Plots Worksheets
Summarize numerical data and distinguish questions that expect variability.
Before you begin
Read tables and graphs, count outcomes, and calculate with fractions.
Worked example
The histogram shows frequencies for equal-width intervals. Include each lower boundary and exclude its upper boundary. How many observations are in the middle interval?
- Read the height of the middle bar using the frequency axis.
Answer: 5
Check your result using the method in the example before moving to the next question.
Choose your level
These sets use the same exercise types and number ranges across level labels. Choose a fresh set for additional practice.
- Easy: Start with the preview and follow the worked example.
- Medium: Practice the same exercise types with a fresh numbered set.
- Hard: Use another set to practice explaining and checking your answers.
Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.
Preview and print an easy set
Try six questions below, or choose a full set at your level.
1
The histogram shows frequencies for equal-width intervals. Include each lower boundary and exclude its upper boundary. How many observations are in the middle interval?
2
Find the five-number summary for a box plot of: 16, 19, 22, 22, 28, 31, 34, 40. Use the median of each half for quartiles.
3
The histogram shows frequencies for equal-width intervals. Include each lower boundary and exclude its upper boundary. How many observations are in the middle interval?
4
Find the five-number summary for a box plot of: 5, 10, 15, 15, 25, 30, 35, 45. Use the median of each half for quartiles.
5
The histogram shows frequencies for equal-width intervals. Include each lower boundary and exclude its upper boundary. How many observations are in the middle interval?
6
Find the five-number summary for a box plot of: 2, 4, 6, 6, 10, 12, 14, 18. Use the median of each half for quartiles.
Answer Key
1. 12. Minimum 16; Q1 20.5; median 25; Q3 32.5; maximum 40.3. 34. Minimum 5; Q1 12.5; median 20; Q3 32.5; maximum 45.5. 26. Minimum 2; Q1 5; median 8; Q3 13; maximum 18.