What is the average of odd numbers from 50 to 64? Here we will show you how to calculate the average of odd numbers from 50 to 64.
To find the average of the odd numbers from 50 to 64, we first calculate how many odd numbers there are from 50 to 64. Then, we calculate the sum of odd numbers from 50 to 64. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 50 to 64, and the odd numbers within that range are from 51 to 63. Therefore, the first odd number in the sequence is 51, and the last odd number in the sequence is 63.
Step 1) Calculate the total number of odd numbers from 50 to 64
Here we calculate the total number of odd numbers from 50 to 64 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 = (63 - 51 + 2) ÷ 2
tot = 14 ÷ 2
tot = 7
Total odd numbers from 50 to 64 = 7
Step 2) Calculate the sum of odd numbers from 50 to 64
To calculate the sum of odd numbers from 50 to 64, 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 = (7 ÷ 2) × (2 × 51 + (2 × (7 - 1))
sum = 3.5 × (102 + 12)
sum = 3.5 × 114
sum = 399
Sum of odd numbers from 50 to 64 = 399
Step 3) Calculate the average of odd numbers from 50 to 64
Almost done! Now we can calculate the average of odd numbers from 50 to 64 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 = 399 ÷ 7
Average = 57
Average of odd numbers from 50 to 64 = 57
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.