Question

if the mean of 8,x and 12 is 11what is the value of x​

Answer 1

8+x+12/3=11

20+x=33

x=13

Answer 2

Answer :-

• The value of x is 13.

Given :-

• Observations - 8,x, and 12.
• Mean = 11.

To find :-

• The value of x.

Step by step explanation :-

Detailed explanation of solution :-

Let's understand!

In the question, It is given that the mean of 8,x and 12 is 11 . We know that, Mean = sum of observations/Number of observations.

Mean can be also known as arithmetic mean or average.

How to solve ?

We will use the formula of mean. And find the value of x.

Let's do it !

Calculations :-

Therefore, We get :-

$\implies \sf \dfrac{8 + 12 + x}{3} = 11$

Transposing 3 from LHS to RHS, Changing sign from (÷) to (×).

$\implies \sf 8 + 12 + x = 11 \times 3$

Multiplying the numbers in RHS,

$\implies \sf 8 + 12 + x = 33$

Adding the numbers in LHS,

$\implies \sf 20 + x = 33$

Transposing 20 from LHS to RHS, Changing sign from (+) to (-).

$\implies \sf x = 33 - 20$

Subtracting 20 from 33,

$\implies \sf x = 13$

Therefore, The value of x is 13.