Question

the avg of 5 numbers is 12 . four of them are 10,14,8&2 find the fifth number​

Answer 1

Answer:

Let the fifth number be 'x'

10 + 14 + 8 + 2 + x divided by 5 = 12

34 + x = 60

x = 60-34

x = 26

Hence, the fifth number is 26

Answer 2

The fifth number is 26.

Given - Average and numbers

Find - Fifth number

Solution - Average is calculated by the formula -

Average = sum of observations/total number of observations

Let the fifth number be x.

Sum of observations = 10 + 14 + 8 + 2 + x

Performing addition to find the sum of observations

Sum of observations = 34 + x

Total number of observations = 5

Keep the values in formula to find the average

$12 = \frac{34 + x}{5}$

Performing cross multiplication to find the value of x

12 × 5 = 34 + x

Performing multiplication to find the value of x

34 + x = 60

Shifting 34 to RHS

x = 60 - 34

Performing subtraction

x = 26

Hence, the fifth number is 26.

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