Question

Average of odd numbers from 1 to 60​

Answer 1

Answer:

30 is the average of odd number from 1 to 60

Answer 2

Answer :-

• The average of odd numbers from 1 to 60 is 30.

To find :-

• The average of odd numbers from 1 to 60.

Solution :-

• Here, we have to find the average of odd numbers from 1 to 60. For that, first let's find the odd numbers from 1 to 60, then we can find their average using the required formula!

We know that :-

• The odd numbers from 1 to 60 are :- 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57 and 59.

We observe that :-

• There are 30 odd numbers from 1 to 60. Hence the number of observations is 30.

Now, we know that :-

$\underline{ \boxed{ \sf Average = \dfrac{Sum \: of \: all \: observations}{Number \: of \: observations}}}$

Here,

• Sum of the observations = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35 + 37 + 39 + 41 + 43 + 45 + 47 + 49 + 51 + 53 + 55 + 57 + 59.

• Number of observations = 30.

Hence,

$\hookrightarrow$ Average = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35 + 37 + 39 + 41 + 43 + 45 + 47 + 49 + 51 + 53 + 55 + 57 + 59/30

$\hookrightarrow$ Average = 900/30

$\hookrightarrow$ Average = 30.

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So :-

• The average of odd numbers from 1 to 60 is 30.