What is the average of odd numbers from 132 to 190? Here we will show you how to calculate the average of odd numbers from 132 to 190.
To find the average of the odd numbers from 132 to 190, we first calculate how many odd numbers there are from 132 to 190. Then, we calculate the sum of odd numbers from 132 to 190. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 132 to 190, and the odd numbers within that range are from 133 to 189. Therefore, the first odd number in the sequence is 133, and the last odd number in the sequence is 189.
Step 1) Calculate the total number of odd numbers from 132 to 190
Here we calculate the total number of odd numbers from 132 to 190 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 = (189 - 133 + 2) ÷ 2
tot = 58 ÷ 2
tot = 29
Total odd numbers from 132 to 190 = 29
Step 2) Calculate the sum of odd numbers from 132 to 190
To calculate the sum of odd numbers from 132 to 190, 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 = (29 ÷ 2) × (2 × 133 + (2 × (29 - 1))
sum = 14.5 × (266 + 56)
sum = 14.5 × 322
sum = 4669
Sum of odd numbers from 132 to 190 = 4669
Step 3) Calculate the average of odd numbers from 132 to 190
Almost done! Now we can calculate the average of odd numbers from 132 to 190 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 = 4669 ÷ 29
Average = 161
Average of odd numbers from 132 to 190 = 161
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.