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$$(-0.5)^{-2}$$, $$(-0.5)^{-1}$$, $$(-0.5)^{0}$$, $$(-0.5)^{1}$$, $$(-0.5)^{2}$$,

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
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 $$x \gt 0$$. 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
List A has 32 numbers, with an average of 72, standard deviation of 8. List B has 45 numbers, with an average of 72, standard deviation of 10.

Quantity A

The median of list A

Quantity B

The median of list B


The table shows the means and ranges of two data sets, X and Y, each containing the same number of measurements.

Quantity A

The standard deviation of data set X

Quantity B

The standard deviation of data set Y
The standard deviation of n numbers $$x_{1}$$, $$x_{2}$$, $$x_{3}$$,......, $$x_{n}$$, with mean $$\overline{x}$$ is equal to $$\sqrt{\frac{s}{n}}$$, where S is the sum of the squared differences $$(x_{i} - \overline{x})^{2}$$ for 1 ≤ i ≤ n.

If the standard deviation of the 5 numbers 20-2c, 20-c, 20, 20+c, and 20+2c is greater than 6, which of the following could be the value of c?

Indicate all such values.
The standard deviation of n numbers $$x_{1}$$, $$x_{2}$$, $$x_{3}$$,......, $$x_{n}$$, with mean x is equal to $$\sqrt{\frac{s}{n}}$$, where S is the sum of the squared differences, $$(x_{i} - x)^{2}$$ for 1 ≤ i ≤ n.

In a set of data, 1 appears k times, 5 appears k times, and 3 appears once. What is the minimum k to make the standard deviation greater than 1.95 ?
The average of a list of 17 numbers is 0, and the standard deviation of these numbers is 40. If a new number is added to the list, the average remains the same, then what is the new standard deviation of the list?

Give your answer to the nearest hundredths digit.

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