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Question

Mathematics Question on Variance and Standard Deviation

Let the mean and variance of 12 observations be 9/2 and 4 respectively. Later on, it was observed that two observations were considered as 9 and 10 instead of 7 and 14 respectively. If the correct variance is m/n, where m and n are coprime, then m + n is equal to

A

314

B

315

C

316

D

317

Answer

317

Explanation

Solution

The correct option is(D): 317