To find the average of the first 20 whole numbers, follow these steps:
Step 1: Identify the first 20 whole numbers
Whole numbers start from 0. So, the first 20 whole numbers are:
0, 1, 2, 3, ..., 18, 19
Step 2: Calculate the sum of these numbers
The sum of the first nnn whole numbers (from 0 to n−1n-1n−1) is given by the formula:
Sum=n×(n−1)2\text{Sum}=\frac{n\times (n-1)}{2}Sum=2n×(n−1)
For n=20n=20n=20:
Sum=20×192=3802=190\text{Sum}=\frac{20\times 19}{2}=\frac{380}{2}=190Sum=220×19=2380=190
Step 3: Calculate the average
Average is the sum divided by the number of terms:
Average=19020=9.5\text{Average}=\frac{190}{20}=9.5Average=20190=9.5
Final answer:
The average of the first 20 whole numbers is 9.5.