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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.

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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. Take the square root of your answer from Step 3.

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Explanation: The first step in calculating standard deviation, or, is to calculate the mean for your sample,. Remember, to calculate mean, sum your data values and divide by the count, or number of values you have. Next, we must find the difference between each recorded value and the mean. At the same time, we will square these differences, so it does not matter whether you subtract the mean from the value or vice versa. We use to represent this, but all it really means is that you square the difference between each value, where is the position of the value you're working with, and the mean,. Then we sum all those differences up (the part that goes, where is your count.

Just refers to the fact that you start at the first value, so you include them all.) It's probably easier to do than to think about at first, so let's dive in! Now, add the deviations, and we're nearly there! Next, we must divide this number by our: This number, 8.529, is our variance, or. Since standard variation is, you may have guessed what we must do next. We must take the square root of the summed squares of deviations.