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Each number in data set $$A$$ is multiplied by a positive number k to create data set $$B$$. The standard deviation of the numbers in $$A$$ is greater than the standard deviation of the numbers in $$B$$.

Quantity A

$$k$$

Quantity B

$$1$$


A 50-question survey was administered to 1,000 college students. The answer to each question was either yes or no. Each student was given a score on the survey equal to the number of questions to which the student answered yes.

Quantity A

The 90th percentile of the 1,000 scores

Quantity B

45


$$x$$, 6, 14, 10, 11
In the list shown, $$x$$ is an integer less than or equal to 6. If the range of the numbers in the list is greater than the median, what is the greatest possible value of $$x$$?
In a department of 15 employees, the average (arithmetic mean) annual salary of the 7 lowest-paid employees is $33,500, and the average annual salary of the 7 highest-paid employees is $38,000.

Quantity A

The median of the 15 annual salaries

Quantity B

$35,900



Fifty boxes of lightbulbs were examined during a quality-control check. The number of defective lightbulbs per box and the corresponding frequencies are summarized in the table.

Quantity A

The median number of defective lightbulbs per box for the fifty boxes

Quantity B

1


Each runner in a race was from one of three countries: $$A$$, $$B$$, or $$C$$. The number of runners from Country $$A$$ was 2 times the number of runners from Country $$B$$, and the number of runners from Country $$C$$ was 3 times the number of runners from Country $$A$$. The average (arithmetic mean) finishing times of the runners from countries $$A$$, $$B$$, and $$C$$ were 81 minutes, 84 minutes, and 90 minutes, respectively. What was the average finishing time of all the runners in the race?
If the average (arithmetic mean) of the 20 numbers in a certain list is 12 and the average of the 10 numbers in another list is 6, what is the average of the 30 numbers in the two lists combined?
The average (arithmetic mean) of the measurements in a large sample is 46.2. The average of the greatest 30 percent of the measurements is 56.5, and the average of the least 30 percent of the measurements is 30.5. What is the average of the remaining 40 percent of the measurements?
A person whose age is closest to the median of the ages of all people in the sample is in which age-group?
For how many of the age-groups is the number of people who use Platform $$B$$ greater than 300?
Which of the following statements are true?
Indicate all such statements.
Of all the passengers carried in June 2007 by the airlines shown, approximately what fraction was carried by Airline $$A$$?
For the airlines shown, what was the median of the percents of flights that were not on time in June 2007?
For which of the airlines shown was the average number of passengers per flight in June 2007 greatest?

The table shows the percent distribution of the 1,500 members of a sports club according to the amount of time they Spent exercising yesterday.

Quantity A

The number of club members who exercised between 1 hour and 1 hour 40 minutes yesterday

Quantity B

300


The volume of a cube with each side of length $$3\sqrt{2}$$ is equal to the volume of a right circular cylinder with height $$3\sqrt{2}$$. The radius of a base of the cylinder is $$r$$.

Quantity A

$$r^2$$

Quantity B

$$6$$




In the preceding figure, $$PQ$$ is a diameter of the circle with center $$O$$, and $$PQ$$ has length 10. The lengths of line segments $$AP, AQ, BP$$ and $$BQ$$ are $$a, b, c$$ and $$d$$,respectively. Which of the following statements must be true?
Indicate all such statements
On a flat lawn, a sprinkler watered a circular region. The sprinkler used 0.623 gallon of water per square foot of lawn. If the radius of the circular region was between 6 feet and 8 feet, which of the following could be the total number of gallons of water that the sprinkler used?
Indicate all such numbers.

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