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$$R_1$$: -3, -2, -1

$$R_2$$: 1, 2, 3

$$R_3$$: -3, -2, -1, 1, 2, 3

The standard deviations of the numbers in the lists $$R_1$$, $$R_2$$, and $$R_3$$ are $$s_1$$, $$s_2$$, and $$s_3$$, respectively. Which of the following is true?
The standard deviation of the numbers in list K is a number between 12 and 15 inclusive. If a new list is formed by multiplying each number in list K by 3 which of the following values could be the standard deviation of the numbers in the new list?

Indicate all such values.
$$R_1$$: 13.2, 14.2, 15.2, 16.2, 17.2

$$R_2$$: (13)(0.2), (14)(0.2), (15)(0.2), (16)(0.2), (17)(0.2)

$$R_3: \frac{13}{0.2}, \frac{14}{0.2}, \frac{15}{0.2}, \frac{16}{0.2}, \frac{17}{0.2}$$

If $$s_1, s_2$$,and $$s_3$$ are the standard deviations of lists $$R_1, R_2$$,and $$R_3$$ respectively,which of the following shows the standard deviations in order from least to greatest?
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.

List K consists of 5 different numbers. List L consists of 5 numbers and is formed by multiplying each number in K by 2. The standard deviation of the numbers in K is x and the standard deviation of the numbers in L is 2y.

Quantity A

x

Quantity B

y
A sample of 18 integers has an average (arithmetic mean) equal to m and standard deviation equal to s. Two of the integers are equal to m.

Quantity A

The standard deviation of the 16 integers that are not equal to m

Quantity B

s
List S: 21, 22, 23, 25, 27, 32

List T: 221, 222, 223, 225, 227, 232

The standard deviation of the numbers in list S is x. In terms of x, what is the standard deviation of the numbers in list T?
List K: 7, 11, 15, 19, 23

The standard deviation of the numbers in list K is equal to the standard deviation of the numbers in which of the following lists?

Indicate all such lists.


The table above shows scores received by 5 people on each of 4 tests. For these 5 people, which person`s scores have the greatest standard deviation?
Which of the following lists of numbers has the greatest standard deviation?

Quantity A

The standard deviation of the five numbers 10, 30, 50, 70, and 90

Quantity B

The standard deviation of the five numbers 10, 45, 50, 55, and 90
List R: 2, 4, 7, 10, 12

List T: 2, 5, 7, 9, 12

Quantity A

The standard deviation of the numbers in list R

Quantity B

The standard deviation of the numbers in list T
Set A: {20, 30, 40, 50, 60}

Set B: {20, 35, 40, 45, 60}

Quantity A

The standard deviation of the 5 numbers in set A

Quantity B

The standard deviation of the 5 numbers in set B
For which of the following lists is the standard deviation of the numbers in that list greater than the standard deviation of the numbers 0, 10, 20, 30, and 40?


The table above lists the rainfall, in centimeters, for June, July, and August in selected cities. Based on the information given,which of the following statements are true?

Indicate all such statements.


Quantity A

The standard deviation of the distribution of X

Quantity B

The standard deviation of the distribution of Y
For each number $$x$$ in a list of numbers with mean $$m$$, the squared deviation of $$x$$ from the mean is defined as $$(x-m)^2$$. The variance of the numbers in the list is defined as the mean of the squared differences.

Quantity A

The variance of the numbers 3, 9, and 15

Quantity B

9 times the variance of the numbers 1, 3, and 5
w > 0

Quantity A

$$2w^3$$

Quantity B

$$3w^2$$
x ≠ 0

Quantity A

$$\frac{\sqrt[3]{54x^5}-\sqrt[3]{16x^5}}{x(\sqrt[3]{128x^2}-\sqrt[3]{16x^2})}$$

Quantity B

$$\frac{1}{2}$$
Yesterday at a certain currency exchange center,p Mexican pesoswere equal in value to w United States dollars, and x euros were equal in value to y United States dollars.Which of the following represents the number of Mexican pesos that were equal in value to z euros at the currency exchange center yesterday?
|x+4| < 5 and |y-10| < 1

Quantity A

y-x

Quantity B

7

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