Question

A cricketer has a mean score of $58$ runs in nine innings. Find out how many runs are to be scored by him in the tenth inning to raise the mean score to $61$.

Answer 1

Step 1: Find the total score in nine innings.
Given,
Mean score of nine innings $=58$ runs
Total score of nine innings $=58\times 9=522$ runs.

Step 2: Find the required total score in Ten innings.
Required mean score of Ten innings runs
Required total score of ten innings $=61\times 10=610$ runs.

Step 3: Find the number of runs need to be score in tenth innings.
The number of runs to be score in tenth innings $=$ Total score of Ten innings $-$ Total score of nine innings

$\Rightarrow 610-522$

$\Rightarrow 88$ runs

Therefore, $88$ runs are need to be score in tenth inning to raise the mean score to $61$.