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# Interpreting and Understanding Standard Deviation Worksheet

Interpreting and Understanding Standard Deviation Worksheet
• 1. Calculate the mean and standard deviation of the data and find how many data points are present within 2 standard deviations of the mean?
10, 13, 14, 17, 18, 20, 20, 21, 25, 27, 30
1. 95%
2. 100%
3. 90%
4. 80%
• 2. Calculate the mean and standard deviation of the data and find how many data points are present within 2 standard deviations of the mean? 10, 20, 30, 40, 40, 50, 60, 40, 70, 30, 50
1. 550%
2. 95%
3. 400%
4. 100%
• 3.

Calculate the mean and standard deviation of the data and find how many data points are present within 1 standard deviations of the mean? Points present within 1 standard deviations of the mean:

5, 5, 6, 7, 9, 4, 6, ,7 ,10, 12, 14, 11, 12, 11, 10

1. 50.00%
2. 75.00%
3. 73.33%
4. 70.00%
• 4.

Calculate the mean and standard deviation of the data and find how many data points are present within 1 standard deviations of the mean?

100, 250, 150, 200, 350, 250, 100, 500, 400,100

1. 100%
2. 95%
3. 90%
4. 80%
• 5.

Calculate the mean and standard deviation of the data and find how many data points are present within 2 standard deviations of the mean?

10, 11, 12, 12, 13, 13, 14, 18, 20, 21, 22, 22, 22, 24, 24, 26, 24, 28

1. 155%
2. 115%
3. 110%
4. 100%
• 6.

Calculate the mean and standard deviation of the data and find how many data points are present within 1 standard deviations of the mean?

70, 72, 75, 80, 83

1. 55%
2. 45%
3. 60%
4. 50%
• 7.

Calculate the mean and standard deviation of the data and find how many data points are present within 2 standard deviations of the mean?

5, 6, 5, 4, 5, 6, 7, 9, 10, 15, 5,  6

1. 100%
2. 95%
3. 93%
4. 91%
• 8.

Calculate the mean and standard deviation of the data and find how many data points are present within 1 standard deviations of the mean?

50, 60, 60, 50, 40, 80, 110, 140, 190, 200

1. 65%
2. 75%
3. 80%
4. 50%
• 9.

Calculate the mean and standard deviation of the data and find how many data points are present within 1 standard deviations of the mean?

100, 200, 500, 700, 1000, 800

1. 66.6%
2. 45%
3. 40%
4. 50%
• 10.

Calculate the mean and standard deviation of the data and find how many data points are present within 2 standard deviations of the mean?

2, 10, 16, 25, 37, 40, 60, 75, 87, 90

1. 55%
2. 45%
3. 40%
4. 50%
Math Topics
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