Question

4 out of 5 cricketers have played 13, 9, 5, 11 innings respectively. If the mean of the data set is 9, then the number of innings played by the 5th player is

A. 9

B. 8

C. 7

D. 6

1. C
2. D
3. B
4. A

Answer 1

Correct Answer - Option 1 : C

Given:

4 cricketers played 13, 9, 5, and 11 innings

Mean = 9

Formula used:

Mean = Sum of all observations/Number of observations

Calculation:

Let the 5_th player played x innings.

Sum of all innings played by 5 players = 13 + 9 + 5 + 11 + x

⇒ Sum of all innings = 38 + x

Total players = 5

Mean = Sum of all innings played by 5 players/Total players

⇒ 9 = (38 + x)/5

⇒ 45 = 38 + x

⇒ x = 45 – 38 = 7

∴ Innings played by 5_th player is 7