The batting average for 27 innings of a cricket player is 47 runs. His highest score in an innings exceeds his lowest score by 157 runs. If these two innings are excluded, the average score of the remaining 25 innings is 42 runs. Find his highest score in an innings.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2. i.e. 188.
We know that,
Average = Sum of observations/Number of observations
Now,
The sum of runs for 27 innings of a cricket player = 47 × 27 = 1269
The sum of runs for 25 innings of a cricket player = 42 × 25 = 1050
Sum of remaining 2 innings = 1269 - 1050 = 219
Let the minimum score be x and the maximum score be x + 157
According to the question,
x + x + 157 = 219
⇒ 2x = 219 - 157
⇒ 2x = 62
⇒ x = 31
So, highest score = 157 + 31 = 188