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Just consider the scores of a cricket match series is of 5 consecutive integers. If the average of the first three is t. The average of all five scores is:
1. t + 1
2. t + 2
3. t + 5
4. t

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Correct Answer - Option 1 : t + 1

Given:

Total number of matches = 5

The average of the first 3 = t

Calculations:

Let the three scores be a – 1, a, a + 1.

∴ average of 3 scores

⇒ (a – 1 + a + a + 1)/3

⇒ 3a/3

⇒ a

∴ a = t

Similarly, the average of 5 score is:

⇒ (a – 1 + a + a + 1 + a + 2 + a + 3)/5

⇒ (5a + 5)/5

⇒ a + 1

⇒ t + 1

The average of the five score is t + 1.

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