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题目内容
For each item, a manager calculates the ratio of the manufacturing cost to the manufacturing time. Which of the following is closest to the value of the greatest of these eleven ratios, in dollars per minute?
The manufacturing cost of the item that takes the most time to manufacture is approximately what percent greater than the cost of the item that takes the least time to manufacture?
$$°C =\frac{5}{9}(°F -32)$$

The formula above can be used to convert temperatures from degrees Fahrenheit(°F) to degrees Celsius (°C), where (°F is a certain temperature expressed in degrees Fahrenheit and °C is the same temperature expressed in degrees Celsius. What was the maximum temperature in Atlanta, in degrees Celsius, rounded to the nearest degree?
If a pair of different cities is chosen at random from the seven cities, which of the following is closest to the probability that in the pair chosen, the city with the higher maximum temperature is also the city with the lower minimum temperature?
$$n \gt 0$$

Quantity A

$$\frac{n+1}{n+2}$$

Quantity B

$$\frac{1}{2}$$
$$R_1$$: -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?

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