Cumulative AP Practice Test Questions

The five-number summary for a data set is given by: min=5, Q1=18, median=20, Q3=40, max=75. If you wanted to construct a boxplot for the data set that would show outliers, if any existed, what would be the maximum possible length of the right-side 'whisker'?

• 33

• 35

• 45

• 53

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

The probability distribution for the number of heads in four tosses of a coin is given by:

Number of heads 0 1 2 3 4

Probability 0.0625 0.25 0.375 0.25 0.0625

• 0.25

• 0.3125

• 0.6875

• 0.9375

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

In a certain large population of adults, the distribution of IQ scores is strongly left skewed with a mean of 122 and a standard deviation (sd) of 5. Suppose 200 adults are randomly selected from this population for a market research study. For SRS's of size 200, the distribution of sample mean IQ score is:

• left-skewed with mean 122 and sd 0.35

• Exactly Normal with mean 122 and sd 5

• approximately Normal with mean 122 and sd 5

• approximately Normal with mean 122 and sd 0.35

Suppose we roll a fair die four times. What is the probability that a 6 occurs on exactly one of the rolls?

• $4\left(\frac{1}{6}\right)^3\left(\frac{5}{6}\right)^1$

• $\left(\frac{1}{6}\right)^3\left(\frac{5}{6}\right)^1$

• $4\left(\frac{1}{6}\right)^1\left(\frac{5}{6}\right)^3$

• $6\left(\frac{1}{6}\right)^1\left(\frac{5}{6}\right)^3$

On one episode of his show, a radio show host encouraged his listeners to visit his website and vote in a poll about proposed tax increases. Of the 4821 who vote, 4277 are opposed to the proposed tax increase. To which of the following populations should the results of this poll be generalized?

• All people who have ever listened to this show

• All people who listened to this episode of the show

• All people who visited the show host's website

• All people who voted in the poll

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

The number of unbroken charcoal briquets in a 20 pound bag filled at the factory follows a normal distribution with a mean of 450 briquets and a standard deviation of 20 briquets. The company expects that a certain number of bags will be under-filled, so the company will replace for free the 5% of bags that have too few briquets. What is the minimum number of unbroken briquets the bag would have to contain for the company to avoid having to replace the bag for free?

• 404

• 411

• 418

• 448

Tags

CCSS.HSS.ID.A.4

You work for an advertising agency that is preparing a new television commercial to appeal to women. You have been asked to design an experiment to compare the effectiveness of three versions of the commercial. Each subject will be shown one of the versions and then asked her attitude toward the product. You think there may be large differences in the response of women who are employed, and those who are not. Because of these differences you should use

• a block design, but not a matched pair design

• a completely randomized design

• a matched pair design

• a simple random sample

Tags

CCSS.HSS.IC.B.3

Suppose that you have torn a tendon and are facing surgery to repair it. The orthopedic surgeon explains the risks to you. Infections occur in 3% of such operations, the repairs fail in 14%, and both infection and failure occur together 1% of the time. What is the probability that the operation is successful for someone who has an operation that is free from infection?

• 0.8342

• 0.8400

• 0.8600

• 0.8660

Tags

CCSS.HSS.CP.B.6

Which of the following would be a correct interpretation if you have a z-score of +2.0 on an exam?

• It means you missed two questions on the exam.

• It means you got twice as many questions correct as the average student.

• It means your grade was in the upper 2% of all grades on this exam.

• It means that your grade is 2 standard deviations above the mean for this exam.

Tags

CCSS.HSS.ID.A.4

The overall shape of the distribution is

• clearly skewed to the right

• clearly skewed to the left

• roughly symmetric

• uniform