Question

The mean of 5 numbers is 10.2. The mean of 4 of these number is 10. Find the fifth mean

Answer 1

fifth mean will be 11

Answer 2

The fifth number is 11

Step-by-step explanation:

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

The mean of 5 numbers is 10.2

$10.2 = \frac{\text{Sum of 5 numbers}}{5}$

$10.2 \times 5 = \text{Sum of 5 numbers}$

$51 = \text{Sum of 5 numbers}$

The mean of 4 of these number is 10

$10= \frac{\text{Sum of 4 numbers}}{4}$

$10 \times 4= \text{Sum of 4 numbers}$

$40= \text{Sum of 4 numbers}$

Fifth number = Sum of 5 numbers - Sum of Sum of 4 numbers

Fifth number = 51-40

Fifth number = 11

Hence The fifth number is 11

#Learn more:

The mean of five number is 50 out of which mean of 4 number is 46 find the fifth number

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