Question

the mean of five numbers is 25 . If the four numbers 16,26,31,32 . Find the fifth number​

Answer 1

Answer:

let the fifth number be X

$\frac{16 + 26 + 31 + 32 + x}{5} = 25$

$\frac{105 + x}{5} = 25$

$105 + x = 125$

$x = 125 - 105$

$x = 20$

Answer 2

Let the fifth number be x

Mean=25 ( Given)

Mean= Sum of the observations/Total observations

$∴ \: \: \: \: \: \: \: \: \: \frac{16 + 26 + 31 + 32 + x}{5} = 25 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{105 + x}{5} = 25 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 105 + x = 125 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 125 - 105 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 20$