AP Stats Final Exam Review Sem. 1

Here is the dot plot of voter turnout (as a percentage of voting-age population) for the 50 states—plus the District of Columbia—in a recent presidential election. Which of the following best describes this distribution?

• The distribution of voter turnout is skewed slightly left, centered at about 62%, with a range of 24%.
• The distribution of voter turnout is roughly symmetric, centered at about 60%, with a range of 30%.
• The distribution of voter turnout is skewed slightly right, centered at about 62%, with a range of 24%.
• The distribution of voter turnout is bimodal, centered at about 60%, with a range of 30%.

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CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

The stem-and-leaf diagram below gives the distribution of the ages in years of 20 participants at a family reunion. Which of the following statements about the distribution is correct?

• The first quartile is larger than the third quartile.
• The distribution is strongly skewed to the left.
• It makes the most sense to use the mean and standard deviation as a numerical summary of the center and spread of this distribution.
• The mean is larger than the median.

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

Which of the distributions displayed in the dot plots below has the highest standard deviation?

• Distribution A
• Distribution B
• Distribution C

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

According to the 1.5 x IQR rule, how many outliers are there in the data set 72, 110, 114, 115, 118, 123, 144, 156?

• None
• One
• Two
• Three

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

The histogram shows the typical travel time to school (self-reported) for 50 high school students. Which of the following statements is true about the mean and median of this distribution?

• Mean > Median
• Mean < Median
• Mean = Median
• Mean ≈ Median

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CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

Sally was so excited after collecting her data that she slipped and fell in the mud! She can no longer read her data but she knows the median is 35.4 inches with a range of 12 inches. Sally also realizes that she needs to add 1 inch to all her measurements because of a faulty ruler, then convert everything to feet. What would her median and range be after making these adjustments?

• Median = 3.033 feet
  Range = 1.083 feet
• Median = 3.033 feet
  Range = 1 foot
• Median = 2.95 feet
  Range = 1.083 feet
• Median = 2.95 feet
  Range = 1 foot

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CCSS.HSS.ID.A.2

• A

• B

• C

• D

• E

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

• A

• B

• C

• D

• E

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CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

• A

• B

• C

• D

• E

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.4

The following scatterplot describes the relationship between height (in cm) and foot length (also in cm) for 12 randomly selected students from the British Census @ Schools database. Which of the following is the best description of this relationship?

• There is some random variation, but otherwise height is directly proportional to foot length.
• There is a roughly linear relationship between height and foot length.
• There is a moderately weak, positive linear relationship between height and foot length.
• The relationship between height and foot length is linear, positive, and very strong.

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CCSS.HSS.ID.B.6