All GMAT Math Resources
Example Questions
Example Question #55 : Descriptive Statistics
The arithmetic mean of and is 76. The arithmetic mean of and is 63. The arithmetic mean of and is 84.
Order , , and from least to greatest.
The arithmetic mean of and is 76, so
Similarly,
Subtract:
,
so
By similar reasoning:
so
Therefore, .
Example Question #51 : Descriptive Statistics
The arithmetic mean of , , , and is 40.
What is (rounded to the nearest whole number, if applicable) ?
The arithmetic mean of , , , and is 40, so their sum divided by 4 is equal to 40.
This rounds to 20.
Example Question #41 : Arithmetic Mean
Which of the following is the arithmetic mean of , , , and ?
The arithmetic mean of , , , and is the sum of the expressions divided by 4, or:
Example Question #2065 : Problem Solving Questions
The arithmetic mean of , , and is 200.
The arithmetic mean of and is 190.
The arithmetic mean of and is 210.
Evaluate the arithmetic mean of and .
The arithmetic mean of , , and is 200, so
The arithmetic mean of and is 190, so
The arithmetic mean of and is 210, so
The arithmetic mean of and is
Example Question #41 : Calculating Arithmetic Mean
Determine the mean for the following set of numbers.
To find the mean, simply sum up the numbers and divide by the amount of numbers.
Example Question #42 : Calculating Arithmetic Mean
Find the mean of the following set of numbers:
To find the mean, sum the numbers and divide by the quantity of numbers. Thus,
Example Question #62 : Descriptive Statistics
Find the mean of the following data set. (Round to the nearest whole number)
Find the mean of the following data set. (Round to the nearest whole number)
Finding the mean is basically like finding the average. Sum up the terms and divide by the number of terms.
Making our answer 330
Example Question #43 : Calculating Arithmetic Mean
Find the mean of the following set of numbers:
To find the mean, you must sum the numbers and divide by their quantity. Thus:
Example Question #2061 : Gmat Quantitative Reasoning
Give the arithmetic mean of the set .
The arithmetic mean of a set is the sum of its elements divided by the number of elements, which here is . This makes
the correct choice.
Example Question #41 : Calculating Arithmetic Mean
Give the arithmetic mean of and .
Statement 1: A rectangle with length and width has area 600.
Statement 2: A rectangle with length and width has perimeter 100.
EITHER STATEMENT ALONE provides sufficient information to answer the question.
STATEMENT 2 ALONE provides sufficient information to answer the question, but STATEMENT 1 ALONE does NOT provide sufficient information to answer the question.
BOTH STATEMENTS TOGETHER provide sufficient information to answer the question, but NEITHER STATEMENT ALONE provides sufficient information to answer the question.
STATEMENT 1 ALONE provides sufficient information to answer the question, but STATEMENT 2 ALONE does NOT provide sufficient information to answer the question.
BOTH STATEMENTS TOGETHER do NOT provide sufficient information to answer the question.
STATEMENT 2 ALONE provides sufficient information to answer the question, but STATEMENT 1 ALONE does NOT provide sufficient information to answer the question.
The arithmetic mean of and is equal to .
From Statement 1 alone, since the area of a rectangle is the product of its length and width, we can deduce that . However, this does not help us find the mean of the two, since, for example:
Case 1:
The mean of the two is .
Case 2:
The mean of the two is .
Therefore, knowing the area of the rectangle with these dimensions is not helpful to determining their arithmetic mean.
Now assume Statement 2 alone. The perimeter of a rectangle is the sum of the lengths of the sides, so
From Statement 2 alone, the arithmetic mean can be calculated to be 25.