Range

Measures Of Spread
definition

Grade 3-5

The difference between the maximum and minimum values in a data set, measuring overall spread. Range is the simplest measure of spread.

Definition

The difference between the maximum and minimum values in a data set, measuring overall spread.

๐Ÿ’ก Intuition

Range tells you how spread out your data is from end to end. If the tallest kid is 5 feet and the shortest is 4 feet, the range is 1 foot - that's the 'stretch' of heights.

๐ŸŽฏ Core Idea

Range measures the total span of the data from lowest to highest. A single extreme outlier can make range misleadingly large.

Example

Quiz scores: 72, 85, 90, 68, 95. \text{Range} = 95 - 68 = 27 \text{ points}

๐ŸŒŸ Why It Matters

Range is the simplest measure of spread. It gives a quick sense of how much values vary.

Related Concepts

๐Ÿšง Common Stuck Point

Students sometimes report the maximum and minimum as the range instead of computing their difference โ€” range is one number, not two.

โš ๏ธ Common Mistakes

  • Forgetting to subtract
  • Confusing with number of values
  • Ignoring that outliers inflate range

Frequently Asked Questions

What is Range in Statistics?

The difference between the maximum and minimum values in a data set, measuring overall spread.

Why is Range important?

Range is the simplest measure of spread. It gives a quick sense of how much values vary.

What do students usually get wrong about Range?

Students sometimes report the maximum and minimum as the range instead of computing their difference โ€” range is one number, not two.

How Range Connects to Other Ideas

Once you have a solid grasp of range, you can move on to variability intro.