Question

Average of first 33 odd number

Answer 1

$\textbf{Answer is in Attachment !}$

Answer 2

Answer: 33

Step-by-step explanation:

First 33 odd numbers are = 1,3,5,7 .......

It forms an AP where first term a = 1 , common difference d = 2 and n = 33

Then the sum

$S_n=\dfrac{n}{2}(2a+(n-1)d)\\\\\Rightarrow S_{33} = \dfrac{33}{2} (2\times 1+(33-1)\times 2)\\\\\Rightarrow S_{33}= \dfrac{33}{2}(66)= 33\times 33$

now as we know

$average = \dfrac{\text {Sum of observation }}{\text {Number of observation}} =\dfrac{S_{33}}{33} =\dfrac{33\times 33}{33} =33$

Hence, the average of first 33 odd numbers is 33