Question

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

Answer 1

The answer for your question is 16 and the no. is 24

Answer 2

Given is the mean of twelve numbers, Find the mean if each number is doubled.

Explanation:

• The average value is also known as the arithmetic mean.
• The mathematical value of the mean is given by dividing the sum of all  the observations by the total number of observations, $\bar x=\frac{\sum x}{N}$  
• Let the twelve numbers be denoted by $a_1,a_2,....a_{12}$.
• Hence, the mean of these numbers is, $->\frac{a_1+a_2+....a_{12}}{12}=8$  
• Now when each of these numbers is double the new mean is given by, $\bar x'=\frac{2a_1+2a_2+...2a_{12}}{12} \\->\bar x'=2(\frac{a_1+a_2+....a_{12}}{12}) \\->\bar x'=2(8)\\->\bar x'=16$    
• Hence, when the numbers are doubled their mean is also doubled and is equal to $16$.