Question

The mean of five numbers is 28.if one of the number is excluded,the mean gets reduced by 2 find the excluded number

Answer 1

Mean of 5 nos.= 28

Therefore, sum of the 5 nos. = 28 X 5 = 140 

The the no. exclude by 'x'.

New sum of 4 nos.= 140 - x

New mean = 28- 2 = 26

Therefore, (140 - x ) / 4 = 26

=> 140 - x = 104

=> x = 36

ANSWER= 36

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Answer 2

Hi ,

we know that ,

mean = ( sum of the observations )/(number of observations )

according to the problem given,

1 )mean of 5 numbers = 28

sum of 5 numbers = 5 × 28 = 140 ---( 1 )

if one number excluded the new mean = 28 - 2

= 26

number of observations = 4

sum of the 4 observations = 4 × 26

= 104---( 2 )

The excluded number = ( 1 ) - ( 2 )


= 140 - 104

= 36

I hope this helps you.

:)