Question

Find the mean of the natural numbers from $3$ to $12$.

Answer 1

Calculate the mean of the natural numbers from $3$ to $12$

Positive numbers, which can be expressed without fractions, are known as natural numbers.

The natural numbers from $3$ to $12$ are $3,4,5,6,7,8,9,10,11$ and $12$.

The sum of the given numbers, $\sum x=3+4+5+6+7+8+9+10+11+12=75$.

The total number of natural numbers from $3$ to $12$, $n=10$.

The mean of the given data can be found by, $\overline{x}=\frac{\sum x}{n}$.

Thus, the mean of the given natural numbers, $\overline{x}=\frac{\sum x}{n}=\frac{75}{10}=7.5$.

Therefore, the mean of the natural numbers from $3$ to $12$ is $7.5$.