Practice Range (Statistics) in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Worksheet PDF Free Answer-key PDF Family

Quick Recap

The statistical range is the difference between the maximum and minimum values in a data set: range=max⁡−min⁡\text{range} = \max - \min.

The range answers "how spread out is the data from end to end?" — it captures the total span but ignores everything in between.

Showing a random 20 of 50 problems.

Example 1

easy
The max of a data set is 50 and range is 20. Find the min.

Example 2

hard
Why might range be a poor summary of spread for the data {50,52,51,53,49,100}\{50, 52, 51, 53, 49, 100\}?

Example 3

easy
Which measures spread: range or mean?

Example 4

easy
Range of {10,10,10}\{10, 10, 10\}?

Example 5

challenge
Six positive integers have mean 8, range 7, and minimum 5. What is the largest possible value of the second-largest entry?

Example 6

easy
Range of {−5,−1,3}\{-5, -1, 3\}?

Example 7

hard
A set of 5 integers has range 10 and sum 35. If the minimum is 2 and the maximum is 12, find the sum of the three middle values.

Example 8

medium
In {6,9,11,14,17}\{6, 9, 11, 14, 17\}, what happens to the range if you replace 17 with 100?

Example 9

hard
Set AA has range 8 (values 3 to 11), set BB has range 6 (values 9 to 15). Range of A∪BA\cup B?

Example 10

easy
Range of test scores {88,92,79,95,84}\{88, 92, 79, 95, 84\}?

Example 11

easy
Find the range of {6,6,6,6}\{6, 6, 6, 6\}.

Example 12

easy
Two sets both have range 5. Do they have the same spread shape?

Example 13

medium
Two classes took the same test. Class A scores: {55,70,85,90,95}\{55, 70, 85, 90, 95\}. Class B scores: {72,74,76,78,80}\{72, 74, 76, 78, 80\}. Compare the ranges and explain what the difference tells you.

Example 14

medium
Multiply every value of a set with range 8 by 3. New range?

Example 15

medium
Compare the ranges of A={10,10,11,11,30}A=\{10,10,11,11,30\} and B={2,8,12,16,22}B=\{2, 8, 12, 16, 22\}.

Example 16

medium
A set has min 12, and after adding 3 to every value the range is 20. Original range?

Example 17

medium
Five distinct integers from 1 to 10 are chosen. What is the maximum possible range?

Example 18

easy
Range of {−4,0,6}\{-4, 0, 6\}?

Example 19

easy
Find the range of {1.2,3.4,5.6,7.8}\{1.2, 3.4, 5.6, 7.8\}.

Example 20

easy
Range of {2.5,4.0,1.5,3.0}\{2.5, 4.0, 1.5, 3.0\}?
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