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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 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.
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?
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 $$\frac{t}{r}$$?
66 58 78 60 92 85 54 77

59 68 94 88 96 75 85 90

一场考试有100个成绩,其中16个成绩列举如上

现在要对这16个成绩每一个成绩进行调整:

 <60分的,每个+8分;

 60~80分的,每个+6分;

 >=80分的,每个+2分

What is 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


List S consists of 10 positive numbers. The range of the numbers in S is 124. Each of the numbers in S will be increased by x percent, where x>0. List T consists of the 10 resulting numbers.

Quantity A

The range of the numbers in T

Quantity B

124


The range of a list of numbers is greater than 0.

Quantity A

The range of the list of numbers after multiplying each number by 7

Quantity B

The range of the list of numbers after multiplying each number by 7 and then adding 10 to each number


List A : x, x+1, x+1, x+1, x+2. Each number in List A plus three times the range of list A make up list B.How much more is the average of List B than A?
There are 80 numbers in set A and their variance is 0, set B is formed by the 80 numbers in set A and another number 92, and the average of the 81 numbers in set B is 12. What is the variance of the numbers in set B?

Quantity A

The standard deviation of the heights of 12 children whose mean height is 50 inches

Quantity B

The standard deviation of the heights of 10 children whose mean height is 60 inches


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