What is the average of odd numbers from 8 to 159? Here we will show you how to calculate the average of odd numbers from 8 to 159.
To find the average of the odd numbers from 8 to 159, we first calculate how many odd numbers there are from 8 to 159. Then, we calculate the sum of odd numbers from 8 to 159. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 8 to 159, and the odd numbers within that range are from 9 to 159. Therefore, the first odd number in the sequence is 9, and the last odd number in the sequence is 159.
Step 1) Calculate the total number of odd numbers from 8 to 159
Here we calculate the total number of odd numbers from 8 to 159 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 = (159 - 9 + 2) ÷ 2
tot = 152 ÷ 2
tot = 76
Total odd numbers from 8 to 159 = 76
Step 2) Calculate the sum of odd numbers from 8 to 159
To calculate the sum of odd numbers from 8 to 159, 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 = (76 ÷ 2) × (2 × 9 + (2 × (76 - 1))
sum = 38 × (18 + 150)
sum = 38 × 168
sum = 6384
Sum of odd numbers from 8 to 159 = 6384
Step 3) Calculate the average of odd numbers from 8 to 159
Almost done! Now we can calculate the average of odd numbers from 8 to 159 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 = 6384 ÷ 76
Average = 84
Average of odd numbers from 8 to 159 = 84
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.