Question

Compare the samples using measures of center and variation and find which of the following is a true statement about the given data?.

• A. Range of sample 1 < Range of sample 2
• B. Range of sample 1 > Range of sample 2
• C. Median of sample 1 and sample 2 are equal.
• D. Median of sample 1 > Median of sample 2

Answer 1

The correct option is B Range of sample 1 > Range of sample 2

Data set in the first sample is

14, 16, 12, 17, 21, 29, 18

For a set with an odd number of values, the median is the middle value of the data set when it is arranged in an ascending or descending order.

Arranging the data in ascending order, we get

12, 14, 16, 17, 18, 21, 29

Median = 17

Range = Maximum value - Minimum value

Maximum value = 29

Minimum value = 12

Range = 17



The second sample is

24, 17, 19, 23, 25, 27, 14

Arranging the data in ascending order, we get

14, 17, 19, 23, 24, 25, 27

Median = 23

Range = Maximum value - Minimum value

Maximum value = 27

Minimum value = 14

Range = 27 - 14

= 13



Range of sample 1 and 2 are 17 and 13, respectively.

Range of sample 1 is greater than sample 2.

Hence, "Range of sample 1 > Range of sample 2" is true.


Median of sample 1 and sample 2 are 17 and 23 respectively.

Hence, "Median of sample 1 and sample 2 are equal" is false.

Also, "Mediam of sample 1 > Median of sample 2" is false, since median of sample 1, 17 < median of sample 2, 23