Question

Find the average of all even numbers upto 75. solution

Answer 1

The average is 38.

Hope this helps :)

Answer 2

Answer:

The average is 38

Step-by-step explanation:

We have to find the average of all even numbers upto 75.

The even numbers upto 75 are

2 4 6 8 10 12 14 16 18 20

22 24 26 28 30 32 34 36 38 40

42 44 46 48 50 52 54 56 58 60

62 64 66 68 70 72 74

we have to find the average of above

To find the average of data we have to find the sum if entries of given data

2, 4, 6, 8, .........74

The above is A.P, a=2, d=2, n=37

$S_n=\frac{n}{2}[2a+(n-1)d]$

$=\frac{37}{2}[2(2)+(37-1)2]=\frac{37}{2}[4+72]=\frac{37}{2}\times 76=1406$

$Average=\frac{\text{sum of value}}{\text{Total number of values}}$

$=\frac{1406}{37}=38$

The average is 38