AP Stats CED Unit 1 MC Review

The boxplots above summarize two data sets, A and B.

Which of the following must be true?

 

I. Set A contains more data than Set B.

II. The box of Set A contains more data than the box of Set B.

III. The data in Set A have a larger range than the data in Set B.

• I only

• III only

• I and II only

• II and III only

• I, II, and III

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CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Some descriptive statistics for a set of test scores are shown above. For this test, a certain student has a standardized score of z = -1.2. What score did this student receive on the test?

• 266.28

• 779.42

• 1008.02

• 1083.38

• 1311.98

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CCSS.HSS.ID.A.4

At a college the scores on the chemistry final exam are approximately normally distributed, with a mean of 75 and a standard deviation of 12. The scores on the calculus final are also approximately normally distributed, with a mean of 80 and a standard deviation of 8. A student scored 81 on the chemistry final and 84 on the calculus final. Relative

to the students in each respective class, in which subject did this student do better?

• The student did better in chemistry.

• The student did better in calculus.

• The student did equally well in each course.

• There is no basis for comparison, since the subjects are different from each other and are in different

  departments.

• There is not enough information for comparison, because the number of students in each class is not

  known.

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CCSS.HSS.ID.A.4

A random sample of 374 United States pennies was collected, and the age of each penny was determined.

According to the boxplot below, what is the approximate interquartile range (IQR) of the ages?

• 8

• 10

• 16

• 40

• 50

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CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

The histogram below displays the frequencies of waiting times, in minutes, for 175 patients in a dentist's office.

Which of the following could be the median of the waiting times, in minutes?

• 2.5

• 7.25

• 12.25

• 15

• 17.50

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CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

The weight of adult male grizzly bears living in the wild in the continental United States is approximately normally distributed with a mean of 500 pounds and a standard deviation of 50 pounds. The weight of adult female grizzly bears is approximately normally distributed with a mean of 300 pounds and a standard deviation of 40 pounds.

Approximately, what would be the weight of a female grizzly bear with the same standardized score (z-score) as a male grizzly bear with a weight of 530 pounds?

• 276 pounds

• 324 pounds

• 330 pounds

• 340 pounds

• 530 pounds

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CCSS.HSS.ID.A.4

For a sample of 42 rabbits, the mean weight is 5 pounds and the standard deviation of weights is 3 pounds.

Which of the following is most likely true about the weights for the rabbits in this sample?

• The distribution of weights is approximately normal because the sample size is 42, and therefore the central limit theorem applies.

• The distribution of weights is approximately normal because the standard deviation is less than the mean.

• The distribution of weights is skewed to the right because the least possible weight is within 2 standard deviations of the mean.

• The distribution of weights is skewed to the left because the least possible weight is within 2 standard deviations of the mean.

• The distribution of weights has a median that is greater than the mean.

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.4

The histogram above shows the number of minutes needed by 45 students to finish playing a computer game.

Which of the following statements is correct?

• The distribution is skewed to the right.

• The distribution is skewed to the left.

• The distribution appears to be normal.

• The distribution appears to be chi-square.

• The distribution appears to be uniform.

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CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

Of the following dotplots, which represents the set of data that has the greatest standard deviation?

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• 
• 
• 

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

Which of the following histograms has a shape that is approximately uniform?

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• 
• 
• 
• 

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CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.3