AP Statistics

The commuting time for a student to travel from home to a college campus is normally distributed with a mean of 30 minutes and a standard deviation of 5 minutes. If the student leaves home at 8:25 A.M., what is the probability that the student will arrive at the college campus later than 9 A.M.?

• 0.16

• 0.32

• 0.50

• 0.84

• 1.00

Which of the following is the best estimate of the standard deviation of the distribution shown in the figure above?

• 5

• 10

• 30

• 50

• 60

How would you describe this graph? 

• Symmetric

• Skewed Right

• Skewed Left

• Bimodal

Given is the number of miles traveled to work for 28 people. Which is the closest to the percentile rank of the person who traveled 69 miles? 

• 5th

• 18th 

• 82nd

• 10th

High school textbooks don't last forever. The lifespan of all high school statistics textbooks is approximately Normally distributed with a mean of 9 years and a standard deviation of 2.5 years.  What percentage of books last more than 10 years? 

• 11.5%

• 34.5% 

• 65.5%

• 69%

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

If a distribution is symmetrical, which of the following is true?

• the mean must be less than the median

• the mean and median must be equal

• the mean must be greater than the median

• the mean is either equal to or less than the median

• it's impossible to tell which of the above statements is true without seeing the data

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 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.

The side-by-side boxplots show the distribution of test scores in Ms. Williams’s two sections of calculus. Based on these boxplots, which one of the following statements must be true?

• The lowest score in A period was close to the 15th percentile of the C period class.

• The mean score for students in C period was higher than the mean score for students in A period.

• More people scored between 72 and 90 in C period than scored between 72 and 81 in A period.

• The standard deviation of scores in A period is smaller than the standard deviation of scores in C period.