Which data set has the smaller standard deviation : `{5,7,9} or{4,7,10}`?

Explanation

To determine which data set has the smaller standard deviation, we will calculate the standard deviation for both data sets: `{5, 7, 9}` and `{4, 7, 10}`.

### Step 1: Calculate the Mean
First, we calculate the mean (average) for each data set.

**For the first data set `{5, 7, 9}`:**
\[
\text{Mean} (\mu_1) = \frac{5 + 7 + 9}{3} = \frac{21}{3} = 7
...