MEASURE OF VARIATION

Measure Of Variation

Definition Of Measure 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.

Examples of Measure of Variation

There are three measures of variation:
The range, the variance, and the standard deviation.

Video Examples: Measure of variation

Solved Example on Measure of Variation

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. 13
C. 15
D. 14
Correct Answer: D

Solution:

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

Quick Summary

Measure of variation indicates the spread of data.
Common measures include range, variance, and standard deviation.

\[ Range = Maximum Value - Minimum Value \]

🍎 Teacher Insights

Use real-world examples to illustrate the concept. Emphasize the difference between range, variance, and standard deviation.

🎓 Prerequisites

Basic Arithmetic
Data Representation

Check Your Knowledge

Q1: The heights in cm of ten students are: 157, 152, 165, 151, 160, 156, 155, 162, 158, 163. Find the range of the data.

10 13 15 14

Frequently Asked Questions

Q: What is the purpose of measuring variation?
A: It helps understand the distribution and consistency of data.

Q: Why is range important?
A: Range is a simple way to determine the spread of the data. A smaller range means lower variability.