Question

The average of FOUR numbers was 21. If one of the numbers is increased by 12, what would be the new average?

Answer 1

Answer:

27 would be the new average

Answer 2

Given that,

• Average of four members = 21

• Number of members = 4

we know,

⇒ $\frac{}{x} =$ ∑xi/N

⇒ 21 = ∑xi/4

⇒ 21×4 = ∑xi

⇒ 84 = ∑xi

If one of the number is increased by 12 then the whole value of ∑xi also increase by 12.

So,

• ∑xi = 84+12 = 96

• N = 4

we know,

⇒ $\frac{}{x}$ = ∑xi/N

⇒ $\frac{}{x}$ = 96/4

⇒ $\frac{}{x}$ = 24

∴ The new mean of the data is 24.

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