Measures of Spread - Worksheet 10 - 9th Grade

Hard

Calculate range, IQR, and standard deviation (Hard)

27 problems · 20-25 minutes · Skills: statistics, variability, data analysis

About This Worksheet

This hard-level worksheet contains 27 problems designed for 9th Grade students practicing measures of spread. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Spread tells you how consistent or variable a data set is — information the center alone cannot provide. Standard deviation in particular is one of the most widely used statistics in science, finance, and quality control, making it an important concept for any quantitative career.

  • Calculate range as the difference between the maximum and minimum
  • Find quartiles and compute the interquartile range (IQR)
  • Calculate and interpret standard deviation as the average distance from the mean
  • Identify outliers using the IQR rule (below Q1 minus 1.5 IQR or above Q3 plus 1.5 IQR)
  • Compare the spread of two data sets using their standard deviations

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
12 + 16 =
2
6 + 15 =
3
8 + 18 =
4
20 + 19 =
5
12 + 18 =
6
14 + 14 =
7
19 + 10 =
8
10 + 1 =
9
2 + 12 =
10
13 + 12 =
11
15 + 10 =
12
5 + 3 =
13
1 + 15 =
14
19 + 2 =
15
12 + 12 =
16
17 + 19 =
17
20 + 16 =
18
16 + 9 =
19
14 + 7 =
20
17 + 7 =
21
5 + 2 =
22
11 + 18 =
23
13 + 16 =
24
12 + 14 =
25
6 + 9 =
26
14 + 17 =
27
14 + 10 =

Answer Key

1. 282. 213. 264. 395. 306. 287. 298. 119. 1410. 2511. 2512. 813. 1614. 2115. 2416. 3617. 3618. 2519. 2120. 2421. 722. 2923. 2924. 2625. 1526. 3127. 24

Frequently Asked Questions

How do I download this measures of spread - worksheet 10 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, variability, data analysis. 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 27 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.