The average score of a batsman in 15 innings is 47 runs and average score in 16 innings is 49 runs. Find his score of 16th inning?

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  1. 79
  2. 84
  3. 32
  4. 76

Answer (Detailed Solution Below)

Option 1 : 79
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Detailed Solution

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Given:

Average of 15 innings = 47

Average of 16 innings = 49

Formula used:

Sum of all observations = Average × Total number of observations

Calculation:

Score of 16th inning = Sum of runs of 16 innings - Sum of run of 15 innings 

⇒ 16th = (49 × 16) - (47 × 15)

⇒ 16th = 784 - 705

⇒ 16th = 79

∴ The answer is 79.

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