DSQ: Calculating arithmetic mean

Practice Questions

GMAT Quantitative Reasoning › DSQ: Calculating arithmetic mean

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1. If the arithmetic mean of five different numbers is 50, how many of the numbers are greater than 50?

(1) None of the five numbers is greater than 100.

(2) Three of the five numbers are 24, 25 and 26, respectively.

2

When assigning a score for the term, a professor takes the mean of all of a student's test scores.

Joe is trying for a score of 90 for the term. He has one test left to take. What is the minimum that Joe can score and achieve his goal?

Statement 1: He has a median score of 85 so far.

Statement 2: He has a mean score of 87 so far.

3

What is the mean of , , , , , and ?

Statement 1:

Statement 2:

4

How much greater is the average of the integers from 500 to 700 than the average of the integers from 60 to 90?

5

If and , then what is the mean of , , , , and ?

6

Calculate the average of the 5 integers.

Statement 1: They are consecutive even integers.

Statement 2: The smallest of the integers is 8 less than the largest of the five integers.

7

Choose the answer that best describes sufficient data to solve the problem.

3 numbers are given in increasing order. The arithemetic mean of the first two is 5 less than the arithmetic mean of all three. The sum of the first two numbers is equal to the arithmetic mean of the last two. What is the first number?

I. The second number is given.

II. The arithmetic mean of the first and third numbers is given.

8

A professor records the average class grade for each exam. The average class grades for the semester are respectively:

What is the average class grade for the semester?

(1)

(2)

9

Give the arithmetic mean of and .

Statement 1: A rectangle with length and width has area 500.

Statement 2: A triangle with base of length and height has area 250.

10

You are given the data set , where is an integer not necessarily greater than 56. What is the value of ?

Statement 1: The mean of the data set is 44.3

Statement 2: The median of the data set is 48.5

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