Question

The average of 8 numbers is 12. If each number is increased by 2. The average of new set of numbers is

Answer 1

let the average be X
X/8= 12
X=96
now every no. increased by 2 and total no's. are 8 so total increase 2*8=16
now ,
new no. is 96+16 new mean
= (96+16)/8=12+2=14

Answer 2

Answer is 14.

Given-Average of 8 numbers =12

Each number is increased by 2

Concept:

When each number increase by n then the average is also increased by n

Calculation

Total number $=12\times 8=96$

Each number is increased by 2

Total increase = $2\times$ total numbers $=2 \times 8 =16$

New total $=96 +16 =112$

New average $=112/8 = 14$

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