What is the average of odd numbers from 136 to 142? Here we will show you how to calculate the average of odd numbers from 136 to 142.
To find the average of the odd numbers from 136 to 142, we first calculate how many odd numbers there are from 136 to 142. Then, we calculate the sum of odd numbers from 136 to 142. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 136 to 142, and the odd numbers within that range are from 137 to 141. Therefore, the first odd number in the sequence is 137, and the last odd number in the sequence is 141.
Step 1) Calculate the total number of odd numbers from 136 to 142
Here we calculate the total number of odd numbers from 136 to 142 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 = (141 - 137 + 2) ÷ 2
tot = 6 ÷ 2
tot = 3
Total odd numbers from 136 to 142 = 3
Step 2) Calculate the sum of odd numbers from 136 to 142
To calculate the sum of odd numbers from 136 to 142, 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 = (3 ÷ 2) × (2 × 137 + (2 × (3 - 1))
sum = 1.5 × (274 + 4)
sum = 1.5 × 278
sum = 417
Sum of odd numbers from 136 to 142 = 417
Step 3) Calculate the average of odd numbers from 136 to 142
Almost done! Now we can calculate the average of odd numbers from 136 to 142 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 = 417 ÷ 3
Average = 139
Average of odd numbers from 136 to 142 = 139
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.