Question

the average of 12 number is 8 if each of these 12 numbers is doubled then their average will be?​

Answer 1

Step-by-step explanation:

8×2=16 SO THE ANSWER IS 16

Answer 2

Their average will be 12

Given : The average of 12 number is 8

To find : If each of these 12 numbers is doubled then their average will be?

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the new average)

Now, we know that :

Sum of N numbers = Average of N numbers × N

Similarly, by putting the available data, we get :

Sum of 12 numbers = 8 × 12 = 96

Now, suppose there's a series like :

= (x1 + x2 + x3 + ... + xₙ)

If each of the term is doubled then,

= (2x1 + 2x2 + 2x3 + ... + 2xₙ)

= 2 × (x1 + x2 + x3 + ... + xₙ) [Taking 2 common from each term]

With reference to previous demonstration :

• Sum of initial numbers = 96
• So, sum of doubled numbers = 2 × Sum of initial numbers = 2 × 96 = 192

Sum of doubled numbers = 192

And, there are 12 numbers.

So, the new average will be = 192 ÷ 12 = 16

(This will be considered as the final result.)

Hence, their average will be 12