Question

The mean of 16 items was found to be 30. Later it was discovered that one value 18 was wrongly copied as 22. Find the correct mean.

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Answer 1

Answer:

Step-by-step explanation:

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  no of items = 30  16 = 480

(32 +28) – (22 + 18) = 20

Correct mean =  = 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

Answer 2

The correct mean is 29.75

Explanation:

Given:

1. The mean of 16 items was found to be 30

2. Later it was discovered that one value 18 was wrongly copied as 22

To find:

The correct Mean

Solution:

==> The mean of the 16 item is 30

==> Total item = 16

==> Mean = 30

==> Total Item× Mean = 16×30

==> Total value = 480

==> Wrongly copied item is 22

==> So, 480-22

==> 480-22= 458

==>  Without adding Wrongly copied item 22, the value is 458

==> Add 18

==> 458 + 18 = 476

==> Total value is 476

==> Total item is 16

==> Mean = Sum of the total item/ Total Item

==> Mean = 476÷16

==> Mean = 29.75

The correct mean is 29.75