The mean of 11 numbers is 42 If the mean of the first 6 numbers is 37 and that of the last 6 numbers...

Question

The mean of 11 numbers is 42 If the mean of the first 6 numbers is 37 and that of the last 6 numbers is 46 find the 6th number

Accepted Answer

It is given that Mean of 11 numbers 42 So the total sum 42 11 462 Mean of first 6 numbers 37 So the total sum 37 6 222 Mean of last 6 numbers 46 So the total sum 6 46 276 We know that 6th number total sum of last 6 numbers total sum of first 6 numbers total sum of 11 numbers By substituting the values 6th number 276 222 462 So we get 6th number 498 462 36 Therefore the 6th number is 36

RS Aggarwal Solutions Class 9 Mathematics Solutions for Mean Median And Mode Of Ungrouped Data Exercise 18A in Chapter 18 - Mean Median And Mode Of Ungrouped Data