Question

The average of the even numbers from 1 to 30 is

Answer 1

The average of the even numbers from 1 to 30 is 16

Given :

The even numbers from 1 to 30

To find :

The average of the even numbers from 1 to 30

Solution :

Step 1 of 2 :

Calculate Sum of the numbers

Here even numbers from 1 to 30 are 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28 , 30

Number of observations = 15

Sum of the observations

$\displaystyle \sf = \frac{15}{2} \times (2 + 30)$

$\displaystyle \sf = \frac{15}{2} \times 32$

$\displaystyle \sf = 15 \times 16$

$\displaystyle \sf = 240$

Step 2 of 2 :

Calculate the average

The required average

$\displaystyle \sf{ = \frac{Sum \: of \: the \: observations}{Number \: of \: observations} }$

$\displaystyle \sf{ = \frac{240}{15} }$

$\displaystyle \sf{ = 16}$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If the sum of twelve marks is 510, what is their average?

https://brainly.in/question/38904597

2. The mean of 5 numbers is 39. If one number is excluded, their mean is 35, find the excluded number

https://brainly.in/question/33419522

#SPJ2