High School: Statistics & Probability

Practice Questions

Common Core: High School - Statistics and Probability › High School: Statistics & Probability

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1

Suppose a social scientist wants to know the effects of gender upon film preferences. She samples fifty men and women and asks them to mark their preference between to genres: documentaries and dramas. She then constructs a two-way frequency table as shown:

2 way

What is the relative probability of men who prefer dramas?

2

Suppose a social scientist wants to know the effects of gender upon film preferences. She samples fifty men and women and asks them to mark their preference between to genres: documentaries and dramas. She then constructs a two-way frequency table as shown:

2 way

What is the conditional probability of men who like documentaries?

3

Two students have taken ten math tests in the first quarter of the school year. Joe received the following scores on these ten tests:

Melissa obtained the following ten scores:

Predict which student will get the higher score on the next test.

4

Two students have taken ten math tests in the first quarter of the school year. Joe received the following scores on these ten tests:

Melissa obtained the following ten scores:

Predict which student will get the higher score on the next test.

5

Two students have taken ten math tests in the first quarter of the school year. Joe received the following scores on these ten tests:

Melissa obtained the following ten scores:

Predict which student will get the higher score on the next test.

6

Use technology to find the least squares regression equation for the following data set.

7

Market analysts for an automotive company randomly sampled five hundred new car buyers using a simple survey. This survey recorded the preferences of future consumers. The analysts documented several preferences in the same survey: engine size (i.e. an eight cylinder—V8—or a six cylinder—V6) and paint color. The data are present in the provided table.

What of the following correctly calculates the probability intersection future consumers that will want a car that is Black Pearl and has a V8?

8

Suppose a social scientist wants to know the effects of gender upon film preferences. She samples fifty men and women and asks them to mark their preference between to genres: documentaries and dramas. She then constructs a two-way frequency table as shown:

2 way

What is the conditional probability of men who like documentaries?

9

A researcher for a motor vehicle company wants to observe the relationship between a vehicle's weight and mileage. He decides to investigate 40 vehicles and tabulates the following data.

Screen shot 2015 12 18 at 4.35.26 pm

Afterwards, he plotted the data into a scatter plot and fitted a trendline to the graph.

Weight vs mpg

Which of the following is the best conclusion that can be made about the data's linearity?

10

Suppose a social scientist wants to know the effects of gender upon film preferences. She samples fifty men and women and asks them to mark their preference between to genres: documentaries and dramas. She then constructs a two-way frequency table as shown:

2 way

What is the relative probability of men who prefer dramas?

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