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Eight hundred insects were weighed, and the resulting measurements, in milligrams, are summarized in the boxplot below.
(a) What are the range, the three quartiles, and the interquartile range of the measurements?
(b) If the 80th percentile of the measurements is 130 milligrams, about how many measurements are between 126 milligrams and 130 milligrams?


The boxplot above summarizes a list of 240 numbers. Which of the following statements must be true?

Indicate all such expressions.
In a distribution of the values of the variable x, the 56th percentile is 60, and the 66th percentile is 80.

Quantity A

The 46th percentile of the distribution of the values of x

Quantity B

40
In a random distribution of variable X, the mean is 50, while the standard deviation is 5.4.

Quantity A

The number of variables from 44.6 to 48.2

Quantity B

The number of variables from 55.4 to 59
The median income of a group of College C graduates six months after graduation was $3,000 higher than the median income of a group of College D graduates six months after graduation.

Quantity A

The 75th percentile of the incomes of the group of College C graduates six months after graduation

Quantity B

The 75th percentile of the incomes of the group of College D graduates six months after graduation
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 distribution of 850 different measurements, x centimeters is at the 73rd percentile. If there are 68 measurements in the distribution that are greater than y centimeters but less than x centimeters, then y is approximately what percentile in the distribution?
List K consists of the numbers -10, -5, 0, 5, and 10. Which of the following lists of numbers have the same range as the numbers in list K ?
Indicate all such lists.
The range of the heights of the female students in a certain class is 13.2 inches, and the range of the heights of the male students in the class is 15.4 inches. Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the students in the class?
Indicate all such statements.
In a company, the age of female employees range from f to 46 (f < 46), while the age of male employees range from 22 to m (22 < m). Which of the following could be the range of ages in the entire company?
Indicate all such possible values.
Among a set of 13 numbers, the range is 110. If all these numbers are arranged from small to large, the range of the 10 smallest numbers is 80.

Quantity A

The range of the largest three numbers in the set

Quantity B

30
The numbers in data set S have a standard deviation of 5. If a new data set is formed by adding 3 to each number in S, what is the standard deviation of the numbers in the new data set?
Set A={22, 23, 24, 25, 26, 27}
Set B={222, 223, 224, 225, 226, 227}

Quantity A

The standard deviation of integers in Set A

Quantity B

The standard deviation of integers in Set B
List A: -8, -3, 5, 7, 14
List B: -3, 2, 10, 12, 19

Quantity A

The standard deviation of the numbers in list A

Quantity B

The standard deviation of the numbers in list B

Quantity A

The standard deviation of 1, 1 and 11

Quantity B

The standard deviation of 2, 2 and 22

Quantity A

The standard deviation of 1, 11 and 111

Quantity B

The standard deviation of 2, 22 and 222
Set A={0.2,0.4,0.6,0.8}
Set B={1,2,3,4}

Quantity A

The standard deviation of integers in Set A

Quantity B

The standard deviation of integers in Set B
Sample P: 0.8, 0.9, 0.9, 1.0

Sample Q: 1.0, 1.0, 1.0, 1.0

Sample R: 0.8, 0.8, 1.0, 1.0

Sample S: 0.7, 0.7, 0.9, 0.9

Sample T: 0.9, 1.0, 1.0, 1.1

Five samples of 4 washers each were taken from a production line. The inside diameter of each washer was recorded to the nearest 0.1 centimeter, as shown above. For which of the samples is the standard deviation of the measurements greater than the standard deviation of the measurements for sample P?

Indicate all such samples.
Each of the following linear equations defines y as a function of x for all integers x from 1 to 100. For which of the following equations is the standard deviation of the y-values corresponding to all the x-values the greatest?
20 numbers ranging from 0 to 1 are included in Set Q. Set R also has 20 numbers inside and is composed in a way as follows:
If any number X in Set Q is less than $$\frac{1}{2}$$, then X is also included in Set R;
If any number X in Set Q equals to or is more than $$\frac{1}{2}$$, then (2X-1) is also included in Set R

Quantity A

The standard deviation of all the numbers in Set Q

Quantity B

The standard deviation of all the numbers in Set R

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