In nine innings of cricket, the average of a batsman is 55 runs. How many runs does he need to make in the tenth innings to get the average score 58 ?
Answer & explanation
Correct answer: option 2
Mean = \(\frac{sum\; of\; all\; the\; observations}{total \;number\; of \;observations }\)
He has mean score of 55 in 9 innings.
Hence, the total score of 9 innings =55 × 9 = 495
Let's assume he score x runs in 10th innings.
So his total score of 10 innings = 495 + x ------(1)
Average after 10th inning = 58 ( given )
Hence, his total score in 10 innings = 10 × 58 = 580 -----(1)
Therefore, 580 = 495 + x
x = 580 − 522 = 85 runs.