Question

The mean of 22 numbers was 36. Later on, it was detected that a number 88 was misread as 44. Find the correct mean of the given numbers.

Answer 1

Solution:

Calculated mean of 22 numbers = 36

calculated sum of these numbers = ( 22×36 )

= 792

Correct sum of these number [ 792 -( wrong item) +(correct item)]

= (792 -44+88)

= 792 The correct mean

= ` 792 /22 = 36

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Answer 2

SOLUTION

GIVEN

• The mean of 22 numbers was 36.

• Later on, it was detected that a number 88 was misread as 44.

TO DETERMINE

The correct mean of the 22 numbers

EVALUATION

Here it is given that the mean of 22 numbers was 36.

Sum of the 22 numbers

= 22 × 36

= 792

Later on, it was detected that a number 88 was misread as 44.

Corrected sum of the 22 numbers

= 792 - 44 + 88

= 836

Number of terms = 22

Hence the correct mean of the 22 numbers

$\sf \: = \dfrac{836}{22}$

= 38

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