The mean of 40 numbers was found to be 35. Later on it was detected that a number 56 was misread as 16. Find the correct mean of the given numbers.
Answers
Step-by-step explanation:
Given:-
The mean of 40 numbers was found to be 35. Later on it was detected that a number 56 was misread as 16.
To find:-
Find the correct mean of the given numbers.
Solution:-
The mean of 40 numbers = 35
Number of numbers = 40
Mean = 35
We know that
Mean = Sum of all observations/Number of all observations
=>Sum of all observations = Mean/ Number of all observations
=>Sum of all observations = 35×40 = 1400
Correct number = 56
It is mis read as 16
To be Corrected = 56-16 = 40
If 56 is misread as 16 then adding 40 to the sum of all observations
=>1400+40
=>1440
Correct sum of all observations = 1440
Number of observations = 40
Correct mean
=>Sum of all observations/Number of all observations
=>1440/40
=>144/4
=>36
Therefore,correct mean = 36
Answer:-
The correct mean of the given numbers = 36
Used formula:-
- Mean = Sum of all observations/Number of all observations