Question

The mean of 5 numbers is 20. If one number is excluded,Egan of the remaining numbers become 23. Find the excluded number

Answer 1

HEYA!!!

Given,

Mean of 5 numbers = 20

Mean = sum of obs / number of observations

20 = x / 5

100 = x

Hence, Sum of all observations = 100.

So the excluded number = y

Mean of 4 numbers = 23

100- y / 4 = 23

100-y = 23×4

100-y = 92

100-92 = y

y = 8

Therefore, the excluded number is 8..



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Answer 2

Given,

The mean of 5 numbers = 20

So, the total sum of the numbers = 20 x 5 = 100

After excluding one number,

The mean of the remaining 4 numbers = 23

So, the total sum of these numbers = 23 x 4 = 92

Hence,

The excluded number is = 100 – 92 = 8.