Question

The mean of 8 numbers is 25. If one more number is included the mean of new set of numbers becomes 26. Find the new number

Answer 1

mean = sum of total observation /total number of observations.

25 = sum of total observation / 8

sum of total ovservation before including another one = 25 × 8 = 200

Now, after including new number.

mean = sum of total observation / total number of observations.

26 = sum of total observation / 9

sum of total observation after including = 26 × 9 = 225.

so, new number which is included = sum of total observation after including - sum of total ovservation before including.

= 225 - 200 = 25 Ans

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