Question

Find the average of all the odd numbers and average of all the even numbers from 1 to 45.

• A. 23 and 25
• B. 23 and 24
• C. 25 and 26
• D. 20 and 21
• E. 23 and 23

Answer 1

The correct option is E 23 and 23

According to the formula, Average of 1 to n odd numbers
$=\frac{Lastoddnumber+1}{2}$
Here, the last odd number = 45
$\therefore$ Average of 1 to 45 odd numbers
$=\frac{45+1}{2}=\frac{46}{2}=23$
Again, according to the formula,
Average of 1 to n even numbers
$=\frac{Lastevennumber+2}{2}$
Here, last even number = 44
$\therefore$ Average of 1 to 44 even numbers
$=\frac{44+2}{2}=\frac{46}{2}=23$