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A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match
1. 36
2. 37
3. 38
4. 39

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Correct Answer - Option 4 : 39

Given:

Score in 17th match = 87

In 17th match increase in average is 3

Formula used:

Average = Sum of observations/Number of observations

Calculation:

Let the initial average be x

New average = x + 3

x + 3 = {(16 × x) + 87}/17

⇒ 17x + 51 = 16x + 87

⇒ 17x – 16x = 87 – 51

⇒ x = 36

⇒ New average = 36 + 3 = 39 

∴ His average after 17th match is 39.

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