Final answer:
The standard deviation of the numbers -3, 3, 0, 3, and -3 is approximately 2.68.
Step-by-step explanation:
The standard deviation of the given numbers, -3, 3, 0, 3, and -3, can be calculated using the following steps:
Calculate the mean of the numbers by adding them up and dividing by the total count. In this case, the mean is 0.
Calculate the difference between each number and the mean.
Square the differences obtained in step 2.
Find the average of the squared differences by summing them up and dividing by the total count.
Take the square root of the average obtained in step 4 to get the standard deviation.
Applying these steps to the given numbers results in a standard deviation of approximately 2.68.