Question

The mean of 24 numbers is 12. If 2 is added to every number, then what will be the new mean? (a) 10 (b) 12 (c) 14 (d) 16​

Answer 1

Given,

The mean of $24$ members is $12$

Formula for mean

Mean $=\frac{Sum of numbers}{Number of numbers}$

$12=\frac{sum of numbers}{24}$

Sum of numbers $= 12\times24$

Sum of numbers $= 288$

If $2$ added to every number,

Then sum $= 288+2\times24$

Sum $= 336$

The new mean $=\frac{336}{12}$

New mean $=14$

Therefore, the new mean is $14$.

Answer 2

Answer:

$14$

Step-by-step explanation:

Given data,

• The mean of $24$ numbers $=12$

• $2$ is added to every number

As we know, mean $=\frac{Sum of observations}{number of observatons}$

$\Rightarrow 12=\frac{Sum of observations}{24}$

$\Rightarrow$ Sum of observations $=24\times12=288$

If $2$ is added to every number, then the sum of the numbers will be $288+24\times2=288+48=336$

Now, the new mean $=\frac{336}{24}=14$

Hence, the new mean $=14$.