Question

8. The mean of 40 numbers was found to be 38. Later
on, it was detected that a number 35 was misread
as 53. Find the correct mean of given numbers,​

Answer 1

Step-by-step explanation:

Given:-

The mean of 40 numbers was found to be 38. Later on, it was detected that a number 35 was misread as 53.

To find:-

Find the correct mean of given numbers

Solution:-

mean of 40 numbers =38

sum of all numbers =40×38=1520

Correct number=35

Misread number=53

so their difference=53-35=18

18 should be deducted from the total

=>1520-18=1502

Mean of the 40 numbers

=Sum of all observations/ No. of observations

=>1502/40

=>37.55

Answer:-

The correct mean of the numbers=37.55