Understanding Standard Deviation

Which of the following is a measure of variability?

• mean
• median
• mode
• standard deviation

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.4

All of the below sets have the same mean.

Set 1-Standard Deviation=3.1

Set 2-Standard Deviation=4.9

Set 3-Standard Deviation=1.7

Set 4-Standard Deviation=3.2

Which set of data probably has the points closest to the mean?

• 1

• 2

• 3

• 4

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

This data is normally distributed.  What percent of the data is in the shaded region?

• 68%
• 95%
• 99.7%
• 50%

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CCSS.HSS.ID.A.4

What does this symbol represent?

• Standard Deviation
• Variance
• Mean Absolute Deviation
• Sigma

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.4

Given a variance of 64, what is the standard deviation?

• 8

• 4096

• 0

• 6.8

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CCSS.8.EE.A.2

What does this symbol represent?

• Variance
• Standard Deviation
• Mean Absolute Deviation
• Sigma

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CCSS.HSS.ID.A.4

If the standard deviation of a data set is 4, what is the variance?

• 2
• 16
• 4

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CCSS.6.SP.A.3

How do you calculate the standard deviation when you have the variance?

• Divide the variance by 2.

• Its a long process and I can't explain it right now.

• Find the mean and multiply it by the variance.

• Take the square root of the variance.

What does variance represent?

• How many different variations are in the data set.

• How the population varies compared to the sample.

• How spread out each data value is from the mean.

• The range, but with a bunch of other stuff going on.

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

Order the dot plots from least to greatest standard deviation.

• A, D, C, B

• B, C, D, A

• A, D, B, C

• B, C, A, D

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.1