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The average score of n students used to be 70, yet 10 of them work harder and manage to increase their score by 5 each.

Quantity A

The new average score

Quantity B

72


In a quality-control test, 50 boxes-each containing 30 machine parts-were examined for defective parts. The number of defective parts was recorded for each box, and the average (arithmetic mean) of the 50 recorded numbers of defective parts per box was 1.12. Only one error was made in recording the 50 numbers: "1" defective part in a certain box was incorrectly recorded as "10".

Quantity A

The actual average number of defective parts per box

Quantity B

0.94


Among 20 separate classes, there are either 27 or 28 students in each class. The school now plans to open another separate class such that the average number of students of all the 21 classes is 0.5 less than the average of the original 20 classes. How many students are in the new class?
u, -2u, 3u, -4u, 5u, -6u, 7u (u is an integer)

Quantity A

The median of the above list of numbers

Quantity B

u


In a list of 15 numbers, 8 numbers are greater than 50.4, and 8 numbers are less than 54.6.

Quantity A

The median of the list of numbers

Quantity B

52.5


S is a set of n consecutive integers.

Quantity A

The mean of S

Quantity B

The median of S


What`s the median of a list of odd integers from 1 to 101 (inclusive)?
List S consists of the 25 integers between 14 and 88 that are multiples of 3. What is the median of the integers in S?

Quantity A

The median of all the prime numbers from 2 to 25, inclusive

Quantity B

The median of odd numbers from 2 to 25, inclusive


Quantity A

The average of all the multiples of 3 between 1 and 200

Quantity B

The average of all the multiples of 6 between 1 and 200


The average (arithmetic mean) of m and n is 1 more than k.

Quantity A

m+n

Quantity B

2k+1


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


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