Question

The mean of 16 items was found to be 30. On checking, it was found that 2 items were wrongly taken as 22 and 18 instead of 32 and 28 respectively. Find the correct mean.

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Answer 1

mean=fixi/fi
30=fixi/16
30/16=fixi


32-22=10
28-18=10

mean=fixi/xi
mean=(30/16+29)/16

Answer 2

The correct mean of the given is 31.25 .

Step-by-step explanation:

Given:

The mean of 16 items was found to be 30.

On checking, it was found that 2 items were wrongly taken as 22 and 18 instead of 32 and 28 respectively.

To find:

Find the correct mean.

Solution:

Mean = sum of the items / no of items  

Sum = mean $\times$ no of items = 30 $\times$ 16 = 480

(32 +28) – (22 + 18) = 20

Correct mean = $\frac{(480 + 20)}{16}$ = 31.25

To know more:

The mean of 10 observations was calculated as 40. It was detected on rechecking that the value of 45 was wrongly copied as 15 . Find the correct mean

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