Enter the starting and ending numbers to instantly find the average of the range!
To calculate the average of all numbers within a range, assume the starting number is \( a \) and the ending number is \( b \). The average can be found using the following steps:
For a continuous range of integers from \( a \) to \( b \), the formula simplifies as: \( \text{Average} = \frac{a + b}{2} \) Here: \( a \): Starting number, \( b \): Ending number.
This works because the sum of an arithmetic series divided by the total count yields the average, and in this case, the series is uniformly distributed.
Solution:
\( \text{Average} = \frac{1 + 100}{2} = \frac{101}{2} = 50.5 \)
Result: The average of numbers from 1 to 100 is 50.5.
Solution:
\( \text{Average} = \frac{2020 + 2050}{2} = \frac{4070}{2} = 2035 \)
Result: The average of numbers from 2020 to 2050 is 2035.