Question

The mean of 5 numbers is 27 if one number is excluded the mean becomes 25 find the excluded number

Answer 1

Question:-

The mean of 5 numbers is 27 if one number is excluded the mean becomes 25 find the excluded number.

Given:-

• The mean of 5 number is 27
• If one Number is excluded the mean become 25

Solution:-

Formula used:-

$\sf{\implies mean=\dfrac{Sum\:of\:total\: observation}{Total\: number\:of\: observation}}$

• The sum of 5 number of mean=27×5=135
• The sum of 4 Number of mean=25×4=100

To find the excluded number of new mean we have to subtract the sum of 5 number of mean from the sum of 4 Number of new mean

=>Excluded number=orginal mean -New mean

=>Excluded Number=135-100

=>Excluded Number=35

Hence,

• The excluded Number is 35 of the mean

Answer 2

$\huge {\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}$

Mean of five numbers=27

So, sum of 5 numbers=27 x 5=135

let excluding number is x

now ,

sum of 4 numbers =135-x

mean=sum of 4 numbers/4=(135-x)/4

=> 27-2=(135-x)/4

=> 25 x 4=135-x

=> 100-135=-x

=> x=35

Hence excluded number is 35

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