Worksheet Lab Exercise Calculating Standard Deviation - Test Score ... - Free Printable

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1. Calculate the mean of the test scores: (22 + 99 + 102 + 33 + 57 + 75 + 100 + 81 + 62 + 29) / 10 = 66.
2. For each test score, find the difference from the mean (x - x̄).
3. Square each difference to get (x - x̄)².
4. Sum all the squared differences: 1936 + 1089 + 1296 + 1089 + 81 + 81 + 1156 + 225 + 16 + 1369 = 8338.
5. Divide the sum of squared differences by (n - 1), where n is the number of data points: 8338 / (10 - 1) = 8338 / 9 = 926.44.
6. The variance is 926.44.
7. Take the square root of the variance to find the standard deviation: √926.44 ≈ 30.44.

The standard deviation of the test scores is approximately 30.44.

Parent Tip: Review the logic above to help your child master the concept of standard deviation practice worksheet with answers.

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