SAT Subject Test Math Level 2 Practice Test: Measures and Regression

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Question 7 questions

Time 8 minutes

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1. Last week, police ticketed 13 men traveling 18 miles per hour over the speed limit and 8 women traveling 14 miles per hour over the speed limit. What was the mean speed over the limit of all 21 drivers?

A. 16 miles per hour
B. 16.5 miles per hour
C. 17 miles per hour
D. none of these
E. cannot be determined

2. If the range of a set of integers is 2 and the mean is 50, which of the following statements must be true?

I. The mode is 50

II. The median is 50

III. There are exactly three data values

A. only I
B. only II
C. only III
D. I and II
E. I, II, and III

3. What is the median of the frequency distribution shown below?

Data ValueFrequency
01
13
27
315
410
57
63
73

A. 2
B. 3
C. 4
D. 5
E. Cannot be determined

4. Which of the following statements must be true?

I. The range of a data set must be smaller than its standard deviation.

II. The standard deviation of a data set must be smaller than its mean.

III. The median of a data set must be smaller than its mode.

A. I only
B. I and II
C. II only
D. I, II, and III
E. none are true

5. The mean and standard deviation for SAT math scores are shown in the table below for five high schools in a large city. A particular score for each city is also shown (in the right column).

SchoolMeanStandard DeviationSingle Score
A53224600
B48530560
C51522561
D39626474
E47935552

Which single score has the highest z-score?

A. 561 in school C
B. 552 in school E
C. 560 in school B
D. 474 in school D
E. 600 in school A

6. Jack recorded the amount of time he studied the night before each of 4 history quizzes and the score he got on each quiz. The data are in the table below.

ScoreTime (min.)
8645
7015
9040
7835

Use linear regression to estimate the score Jack would get if he studied for 20 minutes.

A. 71
B. 72
C. 73
D. 74
E. 75

7. The scatter plot shows gas mileage (miles per gallon) at various speeds (miles per hour) when a car was driven 100 miles at various speeds on a test track.

Which regression model is probably the best predictor of gas mileage as a function of speed?

A. constant
B. linear
C. quadratic
D. cubic
E. exponential