Standard Deviation Worksheet
Calculate and interpret standard deviation for various data sets.
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Standard Deviation Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for calculation questions.
1. Standard deviation measures the average of data points from the mean.
2. A small standard deviation indicates that data points are generally to the mean.
3. A large standard deviation indicates that data points are spread out over a range of values.
1. Find the mean of the following data set: 5, 8, 12, 15, 20
1. For the data set {2, 4, 6, 8} and a mean of 5, calculate the deviation of each data point from the mean.
1. Two classes took the same test. Class A had an average score of 80 with a standard deviation of 5. Class B had an average score of 80 with a standard deviation of 15. Which class had more consistent scores? Explain your reasoning.
1. Which of the following data sets would likely have the largest standard deviation?
{10, 10, 10, 10}
{5, 6, 7, 8, 9}
{1, 10, 20, 30}
{100, 101, 102, 103}