AP Statistics Review

The heights of adult women are approximately normally distributed about a mean of 65 inches with a standard deviation of 2 inches. If Bella is at the 87th percentile in height for adult women, then her height, in inches, is closest to

• 63

• 67

• 66

• 72

• 70

What percentage of SUV's are driven by women?

• 56.25%

• 75%

• 83.25%

• 86.5%

According to the table, what is the relative frequency of Students ages 14 - 17 who skip breakfast?

• About 27%

• About 35%

• About 15%

• About 30%

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

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

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

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

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.

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

• 
• 
• 
• 
• 

Gina's doctor told her that the standardized score (z- score) for her systolic blood pressure, as compared to the blood pressure of other women her age, is 1.50. Which of the following is the best interpretation of this standardized score?

• Gina's systolic blood pressure is 150.

• Gina's systolic blood pressure is 1.50 standard deviations above the average systolic blood pressure of women her age.

• Gina's systolic blood pressure is 1.50 above the average systolic blood pressure of women her age.

• Gina's systolic blood pressure is 1.50 times the average systolic blood pressure for women her age.

• Only 1.5% of women Gina's age have a higher systolic blood pressure than she does.