Answer:
the standard deviation=4.47
Step-by-step explanation:
We need to determine the standard deviation for the following set of numbers:
13 17 9 21
First, let's calculate the mean of these values.
The mean is derived by averaging the numbers and is represented as:

Next, we calculate the deviation of each number from the mean:
Deviation:
13-15=-2
17-15=2
9-15=-6
21-15=6
We then square these deviations:
4 4 36 36
Now, we determine the average of these squared values:

Finally, the standard deviation is the square root of the variance.
therefore, standard deviation=√(20)=4.47