Algebra 1 | Unit 1 | Lesson 12: Standard Deviation | Practice Problems

The shoe size for all the pairs of shoes in a person's closet are recorded. 7 7 7 7 7 7 7 7 7 7 What is the mean?

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CCSS.6.SP.B.5C

The shoe size for all the pairs of shoes in a person's closet are recorded. 7 7 7 7 7 7 7 7 7 7 What is the standard deviation?

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CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.4

Here is a data set: 1 2 3 3 4 4 4 4 5 5 6 7 What happens to the mean and standard deviation of the data set when the 7 is changed to a 70?

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CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

CCSS.6.SP.A.1

For the data set with the value of 70, why would the median be a better choice for the measure of center than the mean?

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CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Which of these best estimates the standard deviation of points in a card game?

• 5 points

• 20 points

• 50 points

• 500 points

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CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

CCSS.6.SP.A.1

The mean of data set A is 43.5 and the MAD is 3.7. The mean of data set B is 12.8 and the MAD is 4.1. Which data set shows greater variability? Explain your reasoning.

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CCSS.6.SP.B.5C

What differences would you expect to see when comparing the dot plots of the two data sets?

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CCSS.HSS.ID.A.3

Select all the distribution shapes for which the mean and median must be about the same.

• bell-shaped

• bimodal

• skewed

• symmetric

• uniform

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CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

What is the IQR?

• 5 branches

• 7 branches

• 10 branches

• 12 branches

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CCSS.6.SP.B.5C

The data represent the number of cans collected by different classes for a service project. 12 14 22 14 18 23 42 13 9 19 22 14 Find the mean.

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CCSS.6.SP.B.5C