What is the average of odd numbers from 121 to 152? Here we will show you how to calculate the average of odd numbers from 121 to 152.
To find the average of the odd numbers from 121 to 152, we first calculate how many odd numbers there are from 121 to 152. Then, we calculate the sum of odd numbers from 121 to 152. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 121 to 152, and the odd numbers within that range are from 121 to 151. Therefore, the first odd number in the sequence is 121, and the last odd number in the sequence is 151.
Step 1) Calculate the total number of odd numbers from 121 to 152
Here we calculate the total number of odd numbers from 121 to 152 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 = (151 - 121 + 2) ÷ 2
tot = 32 ÷ 2
tot = 16
Total odd numbers from 121 to 152 = 16
Step 2) Calculate the sum of odd numbers from 121 to 152
To calculate the sum of odd numbers from 121 to 152, 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 = (16 ÷ 2) × (2 × 121 + (2 × (16 - 1))
sum = 8 × (242 + 30)
sum = 8 × 272
sum = 2176
Sum of odd numbers from 121 to 152 = 2176
Step 3) Calculate the average of odd numbers from 121 to 152
Almost done! Now we can calculate the average of odd numbers from 121 to 152 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 = 2176 ÷ 16
Average = 136
Average of odd numbers from 121 to 152 = 136
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.