Question

the average of square of consecutive odd number from 1 to 37 ?​

Answer 1

The consecutive odd numbers from 1 to 13=3,5,7,9,11

Thus required average =  

5

3

2

+5

2

+7

2

+9

2

+11

2

​

=

5

9+25+49+81+121

​

=

5

285

​

=57

Answer 2

Answer:

Average of square of consecutive odd numbers from $1$ to $37$ is $481$ .

Step-by-step explanation:

To find :  average of square of consecutive odd numbers from 1 to 37 .

Solution :

• According to question we have to find average of square of consecutive odd numbers from 1 to 37 .
• We know that odd numbers from 1 to 37 are : $1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37$
• Now we square of these odd numbers are$1,9 ,25,49,81, 121,169, 225, 289,361, 441, 529,625,729,841,961,1089,1225,1369$ respectively . These are our required observation .
• Average is the arithmetic mean.
• It is the ratio of sum of all the numbers given in data to the total number of observations.
• Formula: $Average =\frac{\text { sum of all the observations }}{\text { total of observations }}$
• Here, sum of observations $= 9139$
• Total number of observations $= 19$
• Substituting values in above formula,

        $\begin{array}{r}\text { Average }=\frac{9139}{19 } \\=481\end{array}$