← Back to Histograms and Box Plots

Histograms and Box Plots - Worksheet 6 - 6th Grade

Medium

Summarize numerical data and distinguish questions that expect variability.

medium: Practice the same exercise types with a fresh numbered set.

12 problems · 20-30 minutes · Skills: statistics, graphs, data visualization

About This Worksheet

This medium-level worksheet contains 12 problems designed for 6th Grade students practicing histograms and box plots. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Read tables and graphs, count outcomes, and calculate with fractions.

  • Summarize numerical data and distinguish questions that expect variability.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: 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?
Solution Steps:
  1. Read the height of the middle bar using the frequency axis.
Answer: 5
Tip: Check your result using the method in the example before moving to the next question.
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?
01234550–6060–7070–80
Diagram not to scale.
2
Find the five-number summary for a box plot of: 19, 20, 21, 21, 23, 24, 25, 27. 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?
01234530–4040–5050–60
Diagram not to scale.
4
Find the five-number summary for a box plot of: 8, 10, 12, 12, 16, 18, 20, 24. 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?
01234510–2020–3030–40
Diagram not to scale.
6
Find the five-number summary for a box plot of: 9, 13, 17, 17, 25, 29, 33, 41. Use the median of each half for quartiles.
7
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?
01234530–4040–5050–60
Diagram not to scale.
8
Find the five-number summary for a box plot of: 18, 23, 28, 28, 38, 43, 48, 58. Use the median of each half for quartiles.
9
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?
01234520–3030–4040–50
Diagram not to scale.
10
Find the five-number summary for a box plot of: 8, 11, 14, 14, 20, 23, 26, 32. Use the median of each half for quartiles.
11
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?
01234550–6060–7070–80
Diagram not to scale.
12
Find the five-number summary for a box plot of: 10, 15, 20, 20, 30, 35, 40, 50. Use the median of each half for quartiles.

Answer Key

1. 22. Minimum 19; Q1 20.5; median 22; Q3 24.5; maximum 27.3. 34. Minimum 8; Q1 11; median 14; Q3 19; maximum 24.5. 46. Minimum 9; Q1 15; median 21; Q3 31; maximum 41.7. 28. Minimum 18; Q1 25.5; median 33; Q3 45.5; maximum 58.9. 410. Minimum 8; Q1 12.5; median 17; Q3 24.5; maximum 32.11. 412. Minimum 10; Q1 17.5; median 25; Q3 37.5; maximum 50.

Practice next

Report a question or answer error

Frequently Asked Questions

How do I download this histograms and box plots - worksheet 6 worksheet?

Click "Download PDF" for a file, or "Print" to use your browser. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this statistics and probability worksheet cover?

This worksheet focuses on statistics, graphs, data visualization. It is designed for 6th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 12 problems. It typically takes 20-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.