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1 < a < b < c < d < e < f

Quantity A

The median of a, c and e

Quantity B

The average of b, d and f


The average of three integers is 9, while the median is 8.
The smallest and largest number could be?
Indicate all such possible combinations.
A company has 40 employees. Among the 20 oldest, the youngest is aged at 30, and the average age is 36. Among the 20 youngest, the oldest is aged at 29, and the average age is 22.

Quantity A

The average age of the 40 employees

Quantity B

The median age of the 40 employees


Both Set R and Set L have 100 elements inside, while they also have 50 identical elements. The average of all the elements in Set R is less than that in Set L.

Quantity A

The median of all the elements in Set R

Quantity B

The median of all the elements in Set L


The greatest of the 21 positive integers in a certain list is 16. The median of the 21 integers is 10. What is the least possible average (arithmetic mean) of the 21 integers?
Consider the following list of numbers that represent the number of text messages that Geraldine received on 10 consecutive days: 10, 9, 1, 3, 7, 7, 8, 3, 4, 3. Which of the following statements concerning this set of data are true?
Indicate all such lengths.
The company at which Mark is employed has 80 employees, each of whom has a different salary. Mark`s salary of $43,700 is the second-highest salary in the first quartile of the 80 salaries. If the company were to hire 8 new employees at salaries that are less than the lowest of the 80 salaries, what would Mark`s salary be with respect to the quartiles of the 88 salaries at the company, assuming no other changes in the salaries?

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?
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


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