RANGE OF DATA

Range (Of Data)

Definition Of Range (Of Data)

Range is the difference between the greatest and least values in a set of data.

More About Range (of Data)

Range is one of the measures of variation.
Measure of variation is a measure that describes how spread out or scattered a set of data. It is also known as measures of dispersion or measures of spread.

Video Examples: Finding the Range of a Data Set

Solved Example on Range (of Data)

Ques:The heights in cm of ten students are: 157, 152, 165, 151, 160, 156, 155, 162, 158, 163. Find the range of the data.

Choices:

A. 10
B. 14
C. 15
D. 13

Correct Answer: B

Solution:

Step 1: Maximum height = 165
Step 2: Minimum height = 151 [Range = maximum height - minimum height.]
Step 3: Range = 165 - 151 = 14

Quick Summary

Range measures the spread of data.
It's calculated by subtracting the minimum value from the maximum value.
A larger range indicates greater variability in the data.

\[ Range = Maximum Value - Minimum Value \]

🍎 Teacher Insights

Use visual aids like number lines to demonstrate the concept of range. Emphasize its simplicity and limitations compared to other measures of spread.

🎓 Prerequisites

Basic Arithmetic
Identifying Maximum and Minimum Values

Check Your Knowledge

Q1: Find the range of the following data set: 5, 12, 3, 8, 1

8 11 12 13

Q2: The high temperatures for a week were: 72, 68, 75, 80, 78, 70, 74. What is the range of these temperatures?

8 10 12 74

Frequently Asked Questions

Q: What does a large range indicate?
A: A large range indicates that the data is more spread out or variable.

Q: Is the range sensitive to outliers?
A: Yes, the range is highly sensitive to outliers since it only considers the extreme values.