Question : The average of 15 results is 52. If the average of the first 8 results is 56 and that of the last 8 results is 55, then what will be the value of the 8th result?
Option 1: 92
Option 2: 96
Option 3: 116
Option 4: 108
Correct Answer: 108
Solution :
Given: The average of 15 results is 52.
The average of the first 8 results is 56 and that of the last 8 results is 55.
$\text{Average}=\frac{\text{Sum of all values}}{\text{Total number of values}}$
The value of the 8th result = (8 × 56 + 8 × 55) – 15 × 52.
= 448 + 440 – 780
= 888 – 780
= 108
Hence, the correct answer is 108.
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