Question

The mean of the five number is 25. if the four numbers are 16,26,31,32 ,then find the fifth number

Answer 1

Answer: 20

Step by step explanation:

Given:

Mean of five numbers is 25. Four numbers are 16, 26, 31, 32

To find:

The fifth number

Solution:

Let the fifth number be = x

Mean of numbers = $\sf{\frac{Sum\: of\: observations}{Total \: observations}}$

Sum of observations = 16 + 26 + 31 + 32 + x = 105 + x

Total observations = 5

Mean given = 25

=> 25 = (105 + x)/5

=> 125 = 105 + x

=> x = 20

Thus, the missing and fifth number is 20.

Answer 2

$\huge\mathfrak\blue{Answer:}$

Given:

The mean of the five number is 25.

To Find:

We need to find the fifth number in 16,26,31,32.

Solution:

Let us assume that the fifth number is x.

we know that,

Mean of numbers = Sum of observations/Total observations.

Here sum of observations = 16 + 26 + 31 + 32 + x = 105 + x.

Total observations = 5.

Therefore, 25 = (105 + x)/5

=> 25 × 5 = 105 + x

=> 125 = 105 + x

=> 125 - 105 = x

=> 20 = x

OR x = 20

Therefore the fifth number is 20.