Question : The average of 8 values is 36. If 4 is subtracted from each of the first three values and 5 is added to each of the next five values, then what will be the new average?
Option 1: 37.625
Option 2: 36.350
Option 3: 38.325
Option 4: 34.325
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Correct Answer: 37.625
Solution :
An average of 8 values = 36
Sum of 8 values = 8 × 36 = 288
Now,
4 is subtracted from 1st 3 values and 5 is added to the next 5 values.
So, the new sum = 288 – 12 + 25 = 301
New average = $\frac{301}{8}=37.625$
Hence, the correct answer is 37.625.
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