Practice Hub/Grade 6/statistics/Measures of Variation

Free Grade 6 Measures of Variation Practice

Students will describe the variability of a data set by examining the range and interquartile range (IQR).

Topic Overview

Definitive Answer: Students will describe the variability of a data set by examining the range and interquartile range (IQR).

Welcome! Today, we'll explore how spread out a set of data is. We call this **Measures of Variation**. The simplest way to understand this spread is by finding the **range**. Think of it like knowing the shortest and tallest person in your class; the difference tells you how varied the heights are. The **range** is simply the difference between the **maximum** (highest) and **minimum** (lowest) values in a data set. For example, if test scores were 70, 85, 90, 75, 95, the maximum is 95 and the minimum is 70. The range would be 95 - 70 = 25. It gives us a quick snapshot of how spread out the data is.

Step-by-Step Examples

Example 1: A group of students recorded the number of minutes they spent reading each day for a week. The recorded times were: 25, 30, 20, 40, 35, 28, 32. What is the range of the reading times?
  1. First, identify the **maximum** value in the data set. The highest number of minutes read is 40.
  2. Next, identify the **minimum** value in the data set. The lowest number of minutes read is 20.
  3. Finally, calculate the **range** by subtracting the minimum value from the maximum value: 40 - 20.
✓ Answer: 20 minutes
Example 2: A baker made the following number of cookies each day for a week: 50, 55, 48, 60, 52, 58, 45. What is the range of cookies baked?
  1. First, identify the **maximum** value in the data set. The highest number of cookies baked is 60.
  2. Next, identify the **minimum** value in the data set. The lowest number of cookies baked is 45.
  3. Finally, calculate the **range** by subtracting the minimum value from the maximum value: 60 - 45.
✓ Answer: 15 cookies
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Tips & Tricks

  • To find the range, always remember to find the biggest value, find the smallest value, then subtract!

Key Vocabulary

TermDefinition
RangeThe difference between the highest (maximum) and lowest (minimum) values in a data set.
MaximumThe largest or highest value in a data set.
MinimumThe smallest or lowest value in a data set.

Interactive Practice

Question 1 of 10

A group of students recorded the number of minutes they spent reading each day for a week. The recorded times were: 25, 30, 20, 40, 35, 28, 32. What is the range of the reading times?

Frequently Asked Questions

What are measures of variation for Grade 6 math students?

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In **grade 6 measures of variation**, students learn how to describe the spread or variability of a data set. They focus on key concepts like the range and the interquartile range (IQR) to understand how data points differ from each other.

How can my child learn to calculate range and interquartile range (IQR)?

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To understand **how to measures of variation**, your child will learn step-by-step methods for finding the range (the difference between the highest and lowest values) and the IQR (the range of the middle 50% of the data). These calculations help illustrate the spread within a data set.

Where can I find good practice problems for 6th grade measures of variation?

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You can find excellent **6th grade measures of variation practice** problems in textbooks, online educational platforms, and dedicated math websites. Consistent practice with various data sets will help your child master calculating range and IQR, and comparing data variability.

Are there any free worksheets available for measures of variation for Grade 6?

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Yes, many educational resources offer a **free measures of variation worksheet grade 6** that you can download. These worksheets typically include exercises for calculating range and IQR, and sometimes tasks that involve comparing the variability of two different data sets.

Skills Covered

  • Calculate the range of a given set of data.
  • Calculate the interquartile range (IQR) of a given set of data.
  • Compare the variability of two data sets by examining their ranges and IQRs.

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Kurboed Education Team

The Kurboed Education Team consists of experienced educators, curriculum designers, and AI specialists dedicated to creating high-quality, standards-aligned learning materials. Our mission is to make interactive and adaptive math practice accessible to every student.

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Expertly curated by the Kurboed Education Team • Last updated 2026

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