GMAT Math : Arithmetic

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Example Questions

Example Question #3 : Descriptive Statistics

Set 1: 5, 13, -2, -1, 19, 27

Set 2: 6, -3, 23, 15, m, 1

What should the value of be if we want the ranges of both sets of number to be equal?

Possible Answers:

Correct answer:

Explanation:

The range of a set of numbers is the difference between the highest number and the lowest number in the set.

The range of set 1 is:

27-(-2)=29

The range of the second set, ignoring the value of m is:

23-(-3)=26

We need to either subtract 3 from the lowest number in set Set 2 or add 3 to the highest number in Set 2 to get the value of m such that the range of both sets are equal.

$m=(-3)-3=-6 \rightarrow range =23-(-6)=29$

$m=23+3=26 \rightarrow range = 26-(-3)=29$

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Example Question #4 : Calculating Range

Calculate the range of the following set of data:

(12, 15, 22, 24, 17, 9, 27, 21, 16, 23, 14)

Possible Answers:

Correct answer:

Explanation:

The range of a set of data is the difference between its highest value and its lowest value, as this describes the range of values spanned by the set. A quick way to calculate the range is to locate the lowest value in the set and subtract it from the highest value, but let's arrange the set in increasing order to visualize the problem first:

(9, 12, 14, 15, 16, 17, 21, 22, 23, 24, 27)

Now we can see that the lowest value in the set is 9, and the highest value in the set is 27, so the range of the set is:

27 - 9 = 18

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Example Question #3 : Calculating Range

Calculate the range of the following set of data:

$\begin{Bmatrix} 41, 28, 37, 41, 29, 33, 31, 40, 53, 49, 38, 42 \end{Bmatrix}$

Possible Answers:

Correct answer:

Explanation:

The range of a set of data is the difference between its smallest and greatest values. We can first look through the set for the greatest value, which we can see is 53. We then look through the set for the smallest value, which we can see is 28. The range of the set is then:

53-28=25

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Example Question #4 : Calculating Range

Determine the mean for the following set of numbers.

{6,2,5,5,8,4}

Possible Answers:

Correct answer:

Explanation:

To find the range, simply subract the smallest number from the largest. Therefore:

8-2=6

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Example Question #2011 : Gmat Quantitative Reasoning

Find the range of the following set of numbers:

$\textup{4,6,7,7,8,10,28}$

Possible Answers:

Correct answer:

Explanation:

To find range, subtract the smallest number from the largest number. Thus,

$\textup{range}=28-4=24$

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Example Question #2012 : Gmat Quantitative Reasoning

Find the range of the following set of numbers.

1,1,2,7,8,10,11

Possible Answers:

Correct answer:

Explanation:

To find the range, you m ust subtract the smallest number from the largest. Thus,

11-1=10

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Example Question #2013 : Gmat Quantitative Reasoning

Find the range of the following data set:

89,34,117,42,367,2,989,463,865

Possible Answers:

987

989

444.5

Correct answer:

987

Explanation:

Find the range of the following data set:

89,34,117,42,367,2,989,463,865

Range is as simple as finding the diffference between the largest and smallest terms in a set. So, let's find our largest and smallest terms.

Largest: 989

Smallest: 2

Next, let's calculate the range:

r=989-2=987

So our answer should be 987

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Example Question #14 : Descriptive Statistics

A = B > C > D = E > F .

Give the midrange of the set $\left \{ A, B, C, D, E,F\right \}$ .

Possible Answers:

$\frac{A+F}{2}$

$\frac{A +B+ C+D+E+F }{6}$

$\frac{C+D}{2}$

Correct answer:

$\frac{A+F}{2}$

Explanation:

The midrange of a set is the arithmetic mean of the greatest and least values, which here are and . This makes the midrange $\frac{A+F}{2}$ .

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Example Question #2021 : Problem Solving Questions

A large group of students is given a standardized test. The following information is given about the scores:

Mean: 73.8

Standard deviation: 6.3

Median: 71

25th percentile: 61

75th percentile: 86

Highest score: 100

Lowest score: 12

What is the interquartile range of the tests?

Possible Answers:

More information about the scores is needed.

12.6

2.8

Correct answer:

Explanation:

The interquartile range of a data set is the difference between the 75th and 25th percentiles:

$\textrm{IQR }= 86-61=25$

All other given information is extraneous to the problem.

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Example Question #2021 : Problem Solving Questions

Salaries for employees at ABC Company: 1 employee makes $25,000 per year, 4 employees make $40,000 per year, 2 employees make $50,000 per year and 5 employees make $75,000 per year.

What is the average (arithmetic mean) salary for the employees at ABC Company?

Possible Answers:

$\dpi{100} \small \$ 55,000$

$\dpi{100} \small \$ 48,640$

$\dpi{100} \small \$ 58,000$

$\dpi{100} \small \$ 53,500$

$\dpi{100} \small \$ 46,250$

Correct answer:

$\dpi{100} \small \$ 55,000$

Explanation:

The average is found by calculating the total payroll and then dividing by the total number of employees. $\frac{(1\cdot 25,000)+(4\cdot 40,000)+(2\cdot 50,000)+(5\cdot 75,000)}{1+4+2+5}$

$\frac{25,000+160,000+100,000+375,000}{12} = \frac{660,000}{12}= $55,000$

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GMAT Math : Arithmetic

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #3 : Descriptive Statistics

Example Question #4 : Calculating Range

Example Question #3 : Calculating Range

Example Question #4 : Calculating Range

Example Question #2011 : Gmat Quantitative Reasoning

Example Question #2012 : Gmat Quantitative Reasoning

Example Question #2013 : Gmat Quantitative Reasoning

Example Question #14 : Descriptive Statistics

Example Question #2021 : Problem Solving Questions

Example Question #2021 : Problem Solving Questions

All GMAT Math Resources

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