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Box Plots - Worksheet 9 - 9th Grade

Hard

Create and interpret box-and-whisker plots (Hard)

18 problems · 20-25 minutes · Skills: statistics, data displays, quartiles

About This Worksheet

This hard-level worksheet contains 18 problems designed for 9th Grade students practicing box plots. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Box plots provide a compact visual summary of a distribution that shows center, spread, and outliers simultaneously. They are widely used in scientific and business reporting and are the standard display for comparing two groups in introductory statistics.

  • Construct a box plot using the five-number summary (min, Q1, median, Q3, max)
  • Interpret the spread and skewness of data from a box plot
  • Compare two distributions using side-by-side box plots
  • Identify outliers on a box plot using whisker length and individual data points
  • Extract the five-number summary from a given box plot diagram

How to Solve: Worked Example

Example Problem: Give the five-number summary of: 5, 11, 19, 21, 30, 45, 45, 47
Solution Steps:
  1. Minimum is 5 and maximum is 47.
  2. Median: (21 + 30)/2 = 25.5.
  3. Q1 from the lower half (5, 11, 19, 21): (11 + 19)/2 = 15.
  4. Q3 from the upper half (30, 45, 45, 47): (45 + 45)/2 = 45.
Answer: min 5, Q1 15, median 25.5, Q3 45, max 47
Tip: These five numbers are exactly what you need to draw the box plot — nothing else.
1
Give the five-number summary: 5, 11, 19, 21, 30, 45, 45, 47
2
Give the five-number summary: 9, 13, 36, 43, 52, 53, 53, 60
3
Give the five-number summary: 15, 26, 34, 42, 43, 44, 57, 57
4
Give the five-number summary: 34, 35, 40, 41, 46, 54, 55, 60
5
Give the five-number summary: 2, 5, 10, 14, 17, 25, 37, 44
6
Give the five-number summary: 18, 20, 24, 25, 27, 31, 49, 60
7
Give the five-number summary: 23, 24, 36, 37, 40, 51, 53, 55
8
Give the five-number summary: 5, 19, 24, 30, 32, 45, 51, 59
9
Give the five-number summary: 5, 24, 24, 26, 31, 38, 48, 53
10
Give the five-number summary: 5, 13, 15, 25, 32, 43, 46, 56
11
Give the five-number summary: 11, 13, 39, 42, 47, 50, 59, 59
12
Give the five-number summary: 11, 26, 28, 32, 38, 47, 50, 52
13
Give the five-number summary: 3, 10, 13, 25, 30, 30, 52, 56
14
Give the five-number summary: 3, 5, 5, 8, 32, 44, 54, 58
15
Give the five-number summary: 35, 39, 42, 42, 44, 48, 48, 58
16
Give the five-number summary: 7, 15, 34, 35, 35, 42, 48, 56
17
Give the five-number summary: 9, 22, 33, 40, 41, 42, 53, 59
18
Give the five-number summary: 4, 7, 19, 21, 22, 31, 42, 46

Answer Key

1. min 5, Q1 15, median 25.5, Q3 45, max 472. min 9, Q1 24.5, median 47.5, Q3 53, max 603. min 15, Q1 30, median 42.5, Q3 50.5, max 574. min 34, Q1 37.5, median 43.5, Q3 54.5, max 605. min 2, Q1 7.5, median 15.5, Q3 31, max 446. min 18, Q1 22, median 26, Q3 40, max 607. min 23, Q1 30, median 38.5, Q3 52, max 558. min 5, Q1 21.5, median 31, Q3 48, max 599. min 5, Q1 24, median 28.5, Q3 43, max 5310. min 5, Q1 14, median 28.5, Q3 44.5, max 5611. min 11, Q1 26, median 44.5, Q3 54.5, max 5912. min 11, Q1 27, median 35, Q3 48.5, max 5213. min 3, Q1 11.5, median 27.5, Q3 41, max 5614. min 3, Q1 5, median 20, Q3 49, max 5815. min 35, Q1 40.5, median 43, Q3 48, max 5816. min 7, Q1 24.5, median 35, Q3 45, max 5617. min 9, Q1 27.5, median 40.5, Q3 47.5, max 5918. min 4, Q1 13, median 21.5, Q3 36.5, max 46

Frequently Asked Questions

How do I download this box plots - worksheet 9 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. 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 worksheet cover?

This worksheet focuses on statistics, data displays, quartiles. It is designed for 9th 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 18 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.