Question

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

Answer 1

Heya...

Here's your answer.......

mean of 5 numbers = 20

Sum of 5 numbers = 20×5 = 100

if one is excluded, mean of 4 numbers = 23

Sum of 4 numbers = 23×4= 92

The number excluded= 100 - 92 = 8

Thanks...!!!

XD

Sorry baby 'wink'

Answer 2

The excluded number is 8

Step-by-step explanation:

$Average = \frac{\text{Sum of observations}}{\text{No. of observations}}$

We are given that The mean of 5 numbers is 20.

$20 = \frac{\text{Sum of 5 numbers}}{5}\\20 \times 5 = \text{Sum of 5 numbers}\\100=\text{Sum of 5 numbers}$

Let the excluded number be x

If one number is excluded, mean of the remaining numbers becomes 23.

So, no. of observations = 5-1 = 4

Sum of 4 observations = 100-x

So, $23 = \frac{100-x}{4} \\23 \times 4 = 100-x \\92=100-x \\x=8$

Hence The excluded number is 8

#Learn more:

The mean of 10 number is 47. if one number is excluded, mean of the remaining numbers become 46. find the excluded number

https://brainly.in/question/7110200