To calculate the standard deviation for the given test scores, I will follow the steps as outlined in the document you provided.

Step 1: Find the Mean

The formula to find the mean ($\bar{x}$) is: $\bar{x} = \frac{\sum{x}}{n}$ Where:

• $\sum{x}$ is the sum of all the test scores
• $n$ is the number of test scores

Given test scores: $22, 99, 102, 33, 57, 75, 100, 81, 62, 29$

First, calculate the sum: $\sum{x} = 22 + 99 + 102 + 33 + 57 + 75 + 100 + 81 + 62 + 29 = 660$

Now, calculate $n$: There are 10 test scores, so $n = 10$.

The mean is: $\bar{x} = \frac{660}{10} = 66$

Step 2: Find the Difference from the Mean ($x - \bar{x}$)

Now, we will subtract the mean from each test score: