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Explanation: First, find the mean of the six numbers by adding them all together, and dividing them by six. 88 + 94 + 80 + 79 + 74 + 83 = 498 498/6 = 83 Next, find the variance by subtracting the mean from each of the given numbers and then squaring the answers. 88 – 83 = 5 5 2 = 25 94 – 83 = 11 11 2 = 121 80 – 83 = –3 –3 2 = 9 79 – 83 = –4 –4 2 = 16 74 – 83 = –9 –9 2 = 81 83 – 83 = 0 0 2 = 0 Find the average of the squared answers by adding up all of the squared answers and dividing by six. 25 + 121 + 9 +16 +81 + 0 = 252 252/6 = 42 42 is the variance. To find the standard deviation, take the square root of the variance. The square root of 42 is 6.481. Explanation: The following is the formula for standard deviation: Here is a breakdown of what that formula is telling you to do: 1. Solve for the mean (average) of the five test scores 2.

Subtract that mean from each of the five original test scores. Square each of the differences. Find the mean (average) of each of these differences you found in Step 2 4. Take the square root of this final mean from #3.

This is the standard deviation Here are those steps: 1. Find the mean of the test scores: 2. Subtract the mean from each of the test scores, then square the differences: 3. Find the mean of the squared values from Step 2: 4. Take the square root of your answer from Step 3. Explanation: The following is the formula for standard deviation: Here is a breakdown of what that formula is telling you to do: 1. Solve for the mean (average) of the five test scores 2.

Subtract that mean from each of the five original test scores. Square each of the differences.

Find the mean (average) of each of these differences you found in Step 2 4. Take the square root of this final mean from #3. This is the standard deviation Here are those steps: 1. Find the mean of her score totals: 2. Subtract the mean from each of the test scores, then square the differences: 3. Find the mean of the squared values from Step 2: 4.