AP Statistics Unit Review

Here are the ages of randomly selected people at a community playground 3, 10, 42, 25, 5, 8, 6, 12, 15, 4, 3, 21 To make a stemplot of this data you would use the stems

• 0 and 1

• 1, 2, and 4

• 0, 1, 2, 3, and 4

• 3, 10, 42, 25, 5, 8, 6, 12, 15, 4, 3, and 21

• none of the above is a correct answer

In which of the following situations would a pie chart be an appropriate graph to use to summarize your data?

• You want to display the distribution of favorite color for the students in your statistics class.

• You want to compare the percentages of students in each grade at your school who favor a certain candidate for school president.

• You want to compare the life expectancies of different professions by displaying and comparing graphs of ages at death for random samples of famous scientists, authors, actors, and politicians.

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

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%

Which of the following is NOT a measure of spread?

• IQR

• Mean

• Standard Deviation

• Range

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?

• 
• 
• 
• 
• 

The distribution of the weights of loaves of bread from a certain bakery follows approximately a normal distribution. Based on a very large sample, it was found that 10 percent of the loaves weighed less than 15.34 ounces, and 20 percent of the loaves weighed more than 16.31 ounces. What are the mean and standard deviation of the distribution of the weights of the loaves of bread?

• μ = 15.82,

  σ = 0.48

• μ = 15.82,

  σ = 0.69

• μ = 15.87,

  σ = 0.50

• μ = 15.93,

  σ = 0.46

• μ = 16.00,

  σ = 0.50