Finding the Mode and Range 

Introduction

Range is a measure of variance of the data. The measure of centre gives an average value of the data set while the range gives a measure of how far the data is spread out.

Rules to find the range of a data set

• We look at the numbers of the data set and find the smallest and the largest numbers among them.
• The difference between the largest number and the smallest number gives the range of the data.

Example 1

Find the mode and range of the set of numbers given below −

14, 29, 14, 36, 78

Solution

Step 1:

The number that repeats most is 14; So Mode = 14.

Step 2:

Range = greatest number smallest number

= 78 14 = 64.

Step 3:

Mode = 14; Range = 64.

Example 2

Find the mode and range of the set of numbers given below −

22, 59, 53, 85, 53, 34, 17

Solution

Step 1:

The number that repeats most is 53; So Mode = 53.

Step 2:

Range = greatest number smallest number

= 85 17 = 68.

Step 3:

Mode = 53; Range = 68.