Correct Answer - Option 3 : 75
Given:
Average before tournament = 38
Runs scored in 7 matches = 548
Average after tournament = 41.76
Formula used:
Average = sum of observations/total number of observations
Calculation:
Let matches played before the tournament be x
So, Total runs scored = 38x
New average = (38x + 548)/(x + 7)
A.T.Q
(38x + 548)/(x + 7) = 41.76
⇒ 38x + 548 = 41.76x + 292.32
⇒ 3.76x = 255.68
⇒ x = 68
Total matches = 68 + 7 = 75
∴ The answer is 75