Question

The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is?

Answer 1

Answer:

Step-by-step explanation:

=> Mean of 50 observations = 36

Sum of 50 observations = 36 x 50

Sum of 50 observations = 1800

since 48 was misread as 23

Then, sum of new observations =[1800 - (wrong observation)+(correct observation)]

= 1800 - 23 + 48

= 1800 + 15 = 1815

The correct mean = some of new observation/total number of observations

Correct mean= 1815/50 = 36.3

Hence, the correct mean is 36.3.