What is the average of odd numbers from 121 to 157? Here we will show you how to calculate the average of odd numbers from 121 to 157.
To find the average of the odd numbers from 121 to 157, we first calculate how many odd numbers there are from 121 to 157. Then, we calculate the sum of odd numbers from 121 to 157. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 121 to 157, and the odd numbers within that range are from 121 to 157. Therefore, the first odd number in the sequence is 121, and the last odd number in the sequence is 157.
Step 1) Calculate the total number of odd numbers from 121 to 157
Here we calculate the total number of odd numbers from 121 to 157 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 = (157 - 121 + 2) ÷ 2
tot = 38 ÷ 2
tot = 19
Total odd numbers from 121 to 157 = 19
Step 2) Calculate the sum of odd numbers from 121 to 157
To calculate the sum of odd numbers from 121 to 157, 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 = (19 ÷ 2) × (2 × 121 + (2 × (19 - 1))
sum = 9.5 × (242 + 36)
sum = 9.5 × 278
sum = 2641
Sum of odd numbers from 121 to 157 = 2641
Step 3) Calculate the average of odd numbers from 121 to 157
Almost done! Now we can calculate the average of odd numbers from 121 to 157 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 = 2641 ÷ 19
Average = 139
Average of odd numbers from 121 to 157 = 139
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.