Question

The mean of 5 numbers is 27. If one more
number is included, then the mean is 25.
Find the included number.
[Hint: Included number = 6 x 25 -5 * 27 =
150 - 135 = 15)​

Answer 1

Answer:Hii

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Mean =27

No.of observations=5

Therefore, sum of all numbers =27x5

=135

Let the new number be x.

New number of observations = 6

So,135+x/6= New Mean.

135+x/6=25

135+x=25x6

135+x=150

therefore x=150-135

x=15.

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Answer 2

let the sum of all the 5 no.s be x

then

$= > \frac{x}{5} = 27 \\ \\ = > x = 135$

let the no. that is included be y

then

$= > \frac{135 + y}{6} = 25 \\ \\ = > 135 + y = 150 \\ \\ = > y \: \: \: \: \: \: \: \: \: \: \: \: = 15$

the included number = 15