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Data set D consists of 35 values, all of which are integers. The frequency distribution of the values in D is shown in the histogram, where each interval shown contains values that are greater than or equal to the left endpoint but less than the right endpoint.

Quantity A

The average (arithmetic mean) of the values in D

Quantity B

The median of the values in D
23, 21, 20, 32, 34, 35, 26, 31, 30, 24

For which integer in the list above are 90 percent of the integers in the list less than that integer?
For a certain set of data, 80 is at the 66th percentile, 60 is at the 56th percentile.

Quantity A

The value at the 46th percentile in the set

Quantity B

40
In the distribution of measurements of the variable x, the mean is 56 and the measurement r lies between the 65th and 70th percentiles. In the distribution of measurements of the variable y, the mean is 56 and the measurement t lies between the 75th and 80th percentiles.

Quantity A

r

Quantity B

t
In a random distribution, the value of 42nd, 48th, 54th, and 60th percentile is x, y z, and w, respectively.

Quantity A

y-x

Quantity B

w-z
Number A is the $$90^{th}$$ percentile in set L and number B is the $$70^{th}$$ percentile in set M. Which of the following statements must be true?

Indicate all such statements.
Employee a and b are from two different companies. The salary of employee A and B is at $$90^{th}$$ percentile and $$70^{th}$$ percentile in their respective companies.

Which of the following statements individually provide(s) sufficient additional information to determine which employee has higher salary between A and B?

Indicate all such statements.
Larry and Tony work for different companies. Larry's salary is the $$90^{th}$$ percentile of the salaries in his company, and Tony's salary is the $$70^{th}$$ percentile of the salaries in his company.

Which of the following statements individually provide(s) sufficient additional information to conclude that Larry's salary is higher than Tony's salary?

Indicate all such statements.
Set T consists of n consecutive integers, n > 1

Quantity A

The range of set T

Quantity B

n
What is the range of 21 consecutive multiples of 3?
$$(-0.5)^{-2}$$, $$(-0.5)^{-1}$$, $$(-0.5)^{0}$$, $$(-0.5)^{1}$$, $$(-0.5)^{2}$$,

What is the range of the 5 numbers listed?
R={3, 4, 7, 9}

T={2, 5, 8}

If a number r is to be chosen from set R and a number t is to be chosen from set T. what is the range of all possible values of $$\frac{t}{r}$$?


Listed above are the 16 grades on a chemistry examination before they were adjusted. The chemistry professor adjusted the grades by adding 8 points to each grade that was less than 60, adding 6 points to each grade that was at least 60 and less than 80, and adding 2 points to each grade that was at least 80. What was the range of the adjusted grades?
The sequence of the 50 numbers $$a_1,a_2,......,a_50$$ is defined as follows, where n is an integer between 1 and 50, inclusive.



What is the range of the 15 numbers in the sequence?
Set T and set S, the range of set T is r, the elements in set S is the elements in set T to the power of 3.

Quantity A

The range of set S

Quantity B

$$r^{3}$$
List A is composed by 5 positive numbers that are all less than 10

List B is composed by the square of each positive number in List A

Quantity A

The range of List A

Quantity B

The range of List B
In a survey of 1200 respondents over their preference over Republican Party or Democratic Party, nor neither on a series of issues, the result is shown as follows.



What is the range of the number of voters in favor of Republican Party on different issues?
In a list of integers, the absolute value of all the numbers is between 1 and 99, inclusive. a and b are both included in the list such that |a|+|b|=100, a*b < 0

Which of the following must be true?

Indicate all such statements.
At the end of each business day, the owners of Stores X and Y calculate the total daily revenue received that day. For a five-business-day period, the average (arithmetic mean) total daily revenue was $6,000 for Store X and $5,000 for Store Y. Which of the following statements must be true?

Indicate all such statements.
Set R contains numbers -25 and 0, and has a range of 50

Set S contains numbers -25 and 0, and has a range of 50

Set T contains the number that both Set R and Set S have

Set P contains the number that is combined from Set R and Set S

The range of all the numbers in Set T is X

The range of all the numbers in Set P is Y

Quantity A

The sum of greatest possible value of X and the least possible value of Y

Quantity B

The sum of greatest possible value of Y and the least possible value of X

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