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Measures of Central Tendency - Worksheet 9 - 9th Grade

Hard

Calculate and interpret mean, median, and mode (Hard)

30 problems · 15-20 minutes · Skills: statistics, mean, median, mode

About This Worksheet

This hard-level worksheet contains 30 problems designed for 9th Grade students practicing measures of central tendency. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Measures of central tendency are the first tools of statistical analysis. Understanding the difference between mean and median — and when each is the more meaningful summary — is critical for evaluating the statistics encountered in news, research, and everyday life.

  • Calculate mean, median, and mode for data sets including large data sets
  • Identify which measure of center best represents a data set
  • Understand how outliers affect the mean differently from the median
  • Find the weighted mean when data values have different frequencies
  • Distinguish between a data set with one mode, multiple modes, and no mode

How to Solve: Worked Example

Example Problem: Find the mode and mean of: 2, 37, 18, 31, 25, 8, 13, 25, 25
Solution Steps:
  1. The mode is the most frequent value: 25 appears three times.
  2. For the mean, add everything: 2 + 37 + 18 + 31 + 25 + 8 + 13 + 25 + 25 = 184.
  3. There are 9 values: 184 ÷ 9 ≈ 20.4.
Answer: mode 25, mean 20.4
Tip: Mode is about frequency, mean is about total. A data set can have several modes, or none.
1
Find the mode and the mean (to 1 dp): 2, 37, 18, 31, 25, 8, 13, 25, 25
2
Find the mode and the mean (to 1 dp): 34, 26, 18, 21, 11, 22, 30, 26, 26
3
Find the mode and the mean (to 1 dp): 16, 12, 39, 17, 14, 4, 8, 12, 12
4
Find the mode and the mean (to 1 dp): 30, 16, 29, 37, 4, 27, 17, 4, 4
5
Find the mode and the mean (to 1 dp): 27, 3, 16, 21, 14, 5, 22, 3, 3
6
Find the mode and the mean (to 1 dp): 27, 5, 14, 21, 24, 32, 6, 6, 6
7
Find the mode and the mean (to 1 dp): 27, 14, 38, 30, 18, 8, 5, 27, 27
8
Find the mode and the mean (to 1 dp): 2, 16, 18, 10, 8, 33, 20, 2, 2
9
Find the mode and the mean (to 1 dp): 7, 13, 15, 40, 22, 38, 34, 7, 7
10
Find the mode and the mean (to 1 dp): 38, 33, 40, 9, 13, 32, 21, 9, 9
11
Find the mode and the mean (to 1 dp): 18, 39, 16, 10, 20, 8, 12, 20, 20
12
Find the mode and the mean (to 1 dp): 8, 2, 35, 27, 31, 15, 7, 8, 8
13
Find the mode and the mean (to 1 dp): 35, 25, 13, 31, 38, 18, 23, 13, 13
14
Find the mode and the mean (to 1 dp): 12, 13, 21, 25, 37, 30, 17, 37, 37
15
Find the mode and the mean (to 1 dp): 32, 6, 39, 4, 15, 14, 27, 15, 15
16
Find the mode and the mean (to 1 dp): 33, 2, 38, 4, 37, 19, 34, 2, 2
17
Find the mode and the mean (to 1 dp): 13, 30, 33, 2, 39, 28, 27, 39, 39
18
Find the mode and the mean (to 1 dp): 10, 8, 31, 27, 28, 17, 34, 28, 28
19
Find the mode and the mean (to 1 dp): 18, 37, 14, 38, 31, 10, 6, 38, 38
20
Find the mode and the mean (to 1 dp): 34, 9, 15, 20, 29, 26, 5, 29, 29
21
Find the mode and the mean (to 1 dp): 17, 18, 16, 27, 36, 31, 34, 17, 17
22
Find the mode and the mean (to 1 dp): 29, 34, 12, 30, 3, 27, 10, 10, 10
23
Find the mode and the mean (to 1 dp): 11, 38, 33, 12, 40, 17, 20, 12, 12
24
Find the mode and the mean (to 1 dp): 36, 13, 19, 16, 29, 18, 3, 13, 13
25
Find the mode and the mean (to 1 dp): 39, 11, 6, 20, 29, 37, 32, 37, 37
26
Find the mode and the mean (to 1 dp): 10, 11, 15, 28, 19, 16, 26, 26, 26
27
Find the mode and the mean (to 1 dp): 14, 18, 24, 22, 32, 31, 2, 24, 24
28
Find the mode and the mean (to 1 dp): 22, 15, 6, 23, 17, 28, 19, 22, 22
29
Find the mode and the mean (to 1 dp): 12, 13, 21, 37, 16, 31, 39, 21, 21
30
Find the mode and the mean (to 1 dp): 32, 21, 2, 26, 7, 25, 35, 35, 35

Answer Key

1. mode 25, mean 20.42. mode 26, mean 23.83. mode 12, mean 14.94. mode 4, mean 18.75. mode 3, mean 12.76. mode 6, mean 15.77. mode 27, mean 21.68. mode 2, mean 12.39. mode 7, mean 20.310. mode 9, mean 22.711. mode 20, mean 18.112. mode 8, mean 15.713. mode 13, mean 23.214. mode 37, mean 25.415. mode 15, mean 18.616. mode 2, mean 19.017. mode 39, mean 27.818. mode 28, mean 23.419. mode 38, mean 25.620. mode 29, mean 21.821. mode 17, mean 23.722. mode 10, mean 18.323. mode 12, mean 21.724. mode 13, mean 17.825. mode 37, mean 27.626. mode 26, mean 19.727. mode 24, mean 21.228. mode 22, mean 19.329. mode 21, mean 23.430. mode 35, mean 24.2

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What skills does this statistics worksheet cover?

This worksheet focuses on statistics, mean, median, mode. 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.

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This worksheet contains 30 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.