Question

the average of 12 numbers is 24 if each number be multiplied by 6 find average of new set of number

Answer 1

Step-by-step explanation:

let the sum of no be x

x/12=24

x=288

if each no. is multiplied by 6

then

so x will be into 6

i.e, 288×6

=1728

so new avg= 1728/12= 144

Answer 2

Concept introduction:

In mathematics, the central value of a set of data is expressed as an average of a list of variables. It is defined mathematically as the ratio of the total of all the data to the number of units in the list. The average of a set of numerical data is also known as the mean in statistics.

Given:

here it is given that the average of $12$ numbers is $24$.

To find:

We have to find the new average of new set no if  each number be multiplied by $6$.

Solution:

According to the question,

Let the old set is $x$

Now,

$\frac{x}{12}=24\\ x=288$

Again,

if we multiply with $6$ then we can get

$288*6\\= > 1728$

So, the average of new set of number is

$\frac{1728}{12}\\ = > 144$

Final answer:

So, the final answer of the question is -> $144$.

#SPJ2