GMAT Math : Calculating arithmetic mean

Study concepts, example questions & explanations for GMAT Math

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Example Questions

Example Question #2062 : Problem Solving Questions

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.

Possible Answers:

Correct answer:

Explanation:

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) ?

Possible Answers:

Correct answer:

Explanation:

The arithmetic mean of , and  is 40, so their sum divided by 4 is equal to 40.

This rounds to 20.

Example Question #2064 : Problem Solving Questions

Which of the following is the arithmetic mean of , and  ?

Possible Answers:

Correct answer:

Explanation:

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 .

Possible Answers:

Correct answer:

Explanation:

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 #51 : Descriptive Statistics

Determine the mean for the following set of numbers.

Possible Answers:

Correct answer:

Explanation:

To find the mean, simply sum up the numbers and divide by the amount of numbers.

Example Question #61 : Descriptive Statistics

Find the mean of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

To find the mean, sum the numbers and divide by the quantity of numbers. Thus,

Example Question #41 : Calculating Arithmetic Mean

Find the mean of the following data set. (Round to the nearest whole number)

Possible Answers:

Correct answer:

Explanation:

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 #62 : Descriptive Statistics

Find the mean of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

To find the mean, you must sum the numbers and divide by their quantity. Thus:

Example Question #2070 : Problem Solving Questions

Give the arithmetic mean of the set .

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

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.

Correct answer:

STATEMENT 2 ALONE provides sufficient information to answer the question, but STATEMENT 1 ALONE does NOT provide sufficient information to answer the question.

Explanation:

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.

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