What is the average of odd numbers from 7 to 91? Here we will show you how to calculate the average of odd numbers from 7 to 91.
To find the average of the odd numbers from 7 to 91, we first calculate how many odd numbers there are from 7 to 91. Then, we calculate the sum of odd numbers from 7 to 91. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 7 to 91, and the odd numbers within that range are from 7 to 91. Therefore, the first odd number in the sequence is 7, and the last odd number in the sequence is 91.
Step 1) Calculate the total number of odd numbers from 7 to 91
Here we calculate the total number of odd numbers from 7 to 91 by entering the first and last odd number in the sequence into our formula. Here is the formula and the math:
tot = (last - first + 2) ÷ 2
tot = (91 - 7 + 2) ÷ 2
tot = 86 ÷ 2
tot = 43
Total odd numbers from 7 to 91 = 43
Step 2) Calculate the sum of odd numbers from 7 to 91
To calculate the sum of odd numbers from 7 to 91, you enter the total odd numbers (tot) from Step 1 and the first odd number in the sequence into our formula. Here is the formula and the math:
sum = (tot ÷ 2) × (2 × first + (2 × (tot - 1))
sum = (43 ÷ 2) × (2 × 7 + (2 × (43 - 1))
sum = 21.5 × (14 + 84)
sum = 21.5 × 98
sum = 2107
Sum of odd numbers from 7 to 91 = 2107
Step 3) Calculate the average of odd numbers from 7 to 91
Almost done! Now we can calculate the average of odd numbers from 7 to 91 by dividing the sum of odd numbers from Step 2 by the total odd numbers from Step 1. Here is the formula, the math, and the answer:
Average = sum ÷ tot
Average = 2107 ÷ 43
Average = 49
Average of odd numbers from 7 to 91 = 49
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.