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Arithmetic Mean and Range

On comparing ...

Question

On comparing the samples using measures of center and variation, range of sample 1 is sample 2.

Sample 1: 4, 3, 9, 8, 7

Sample 2: 7, 8, 4, 3, 5

A

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B

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C

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Solution

The correct option is A >
The given data set in sample1 is

4, 3, 9, 8, 7

Range = Maximum value - Minimum value

Maximum value = 9

Minimum value = 3

Range = 6

The data set in sample 2 is

7, 8, 4, 3, 5

Maximum value = 8

Minimum value = 3

Range = 8 - 3 = 5

Hence, range of sample 1 is greater than range of sample 2.

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