What is the average of odd numbers from 21 to 93? Here we will show you how to calculate the average of odd numbers from 21 to 93.
To find the average of the odd numbers from 21 to 93, we first calculate how many odd numbers there are from 21 to 93. Then, we calculate the sum of odd numbers from 21 to 93. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 21 to 93, and the odd numbers within that range are from 21 to 93. Therefore, the first odd number in the sequence is 21, and the last odd number in the sequence is 93.
Step 1) Calculate the total number of odd numbers from 21 to 93
Here we calculate the total number of odd numbers from 21 to 93 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 = (93 - 21 + 2) ÷ 2
tot = 74 ÷ 2
tot = 37
Total odd numbers from 21 to 93 = 37
Step 2) Calculate the sum of odd numbers from 21 to 93
To calculate the sum of odd numbers from 21 to 93, 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 = (37 ÷ 2) × (2 × 21 + (2 × (37 - 1))
sum = 18.5 × (42 + 72)
sum = 18.5 × 114
sum = 2109
Sum of odd numbers from 21 to 93 = 2109
Step 3) Calculate the average of odd numbers from 21 to 93
Almost done! Now we can calculate the average of odd numbers from 21 to 93 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 = 2109 ÷ 37
Average = 57
Average of odd numbers from 21 to 93 = 57
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.