What is the average of odd numbers from 53 to 168? Here we will show you how to calculate the average of odd numbers from 53 to 168.
To find the average of the odd numbers from 53 to 168, we first calculate how many odd numbers there are from 53 to 168. Then, we calculate the sum of odd numbers from 53 to 168. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 53 to 168, and the odd numbers within that range are from 53 to 167. Therefore, the first odd number in the sequence is 53, and the last odd number in the sequence is 167.
Step 1) Calculate the total number of odd numbers from 53 to 168
Here we calculate the total number of odd numbers from 53 to 168 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 = (167 - 53 + 2) ÷ 2
tot = 116 ÷ 2
tot = 58
Total odd numbers from 53 to 168 = 58
Step 2) Calculate the sum of odd numbers from 53 to 168
To calculate the sum of odd numbers from 53 to 168, 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 = (58 ÷ 2) × (2 × 53 + (2 × (58 - 1))
sum = 29 × (106 + 114)
sum = 29 × 220
sum = 6380
Sum of odd numbers from 53 to 168 = 6380
Step 3) Calculate the average of odd numbers from 53 to 168
Almost done! Now we can calculate the average of odd numbers from 53 to 168 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 = 6380 ÷ 58
Average = 110
Average of odd numbers from 53 to 168 = 110
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.