Question

The data of an observation as follows:

16, 9, 12, 10, 8

Find the average of its mean and median?

1. 10
2. 11
3. 10.5
4. 11.5

Answer 1

Correct Answer - Option 3 : 10.5

Given:

8, 9, 10, 12, 16

Concept used:

Mean = (Sum of observation)/(Total number of observation)

To obtain the median first we have to arrange the given data in ascending order.

Median of odd terms = [(n + 1)/2]th term

Calculation:

Arrange all terms in ascending order,

8, 9, 10, 12, 16

Mean = (Sum of observation)/(Total number of observation)

⇒ Mean = (8 + 9 + 10 + 12 + 16)/5

⇒ Mean = 55/5

⇒ Mean = 11

Median = [(n + 1)/2]th term

⇒ Median = [(5 + 1)/2]th term

⇒ Median = (6/2)th term

⇒ Median = 3rd term

⇒ Median = 10

Required average = (Mean + Median)/2

⇒ Required average = (11 + 10)/2

⇒ Required average = 21/2

⇒ Required average = 10.5

∴ The average of mean and median is 10.5.