Question

The mean of 15 numbers is 44. If 7 is subtracted from each number what will be the new mean?

Answer 1

Let the sum of 15 numbers be 'x'

Original Mean=44

According to question

Mean=Sum of numbers/Number of numbers

=> 44=x/15

=>660 =x

Now, Modified sum can be found as follows,

Given,

From every number 7 is subtracted,

Therefore

Modified Sum=660-[15*(7)]

=> Modified Sum=660-105=555

Now, The Modified mean can be counted as follows,

Mean=Modified Sum/Total number of observations

=> Mean=555/15

=> Mean=37

So required Answer----> The modified mean is 37.