GMAT Math : Problem-Solving Questions
Study concepts, example questions & explanations for GMAT Math
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Example Questions
Example Question #1 : Descriptive Statistics
Below is the stem-and-leaf display of a set of test scores.
What is the interquartile range of these test scores?
The numbers in the "stem" of this display represent tens digits of the test scores, and the numbers in the "leaves" represent the units digits. This stem-and-leaf display represents twenty scores.
The interquartile range is the difference of the third and first quartiles.
The third quartile is the median of the upper half, or the upper ten scores. This is the arithmetic mean of the fifth- and sixth-highest scores. These scores are 73 and 69, so the mean is 
The first quartile is the median of the lower half, or the lower ten scores. This is the arithmetic mean of the fifth- and sixth-lowest scores. Both of these scores are the same, however - 57.
The interquartile range is therefore the difference of these numbers:
Example Question #1 : Calculating Range
Consider the data set 
What is its midrange?
The midrange of a data set is the arithmetic mean of its greatest element and least element. Here, those elements are 
Example Question #1 : Descriptive Statistics
Set 1: 5, 13, -2, -1, 19, 27
Set 2: 6, -3, 23, 15, m, 1
What should the value of 
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:
The range of the second set, ignoring the value of m is:
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.
or
Example Question #4 : Calculating Range
Calculate the range of the following set of data:
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:
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:
Example Question #1 : Calculating Range
Calculate the range of the following set of data:
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:
Example Question #462 : Arithmetic
Determine the mean for the following set of numbers.
To find the range, simply subract the smallest number from the largest. Therefore:
Example Question #2011 : Problem Solving Questions
Find the range of the following set of numbers:
To find range, subtract the smallest number from the largest number. Thus,
Example Question #12 : Descriptive Statistics
Find the range of the following set of numbers.
1,1,2,7,8,10,11
To find the range, you m ust subtract the smallest number from the largest. Thus,
Example Question #2012 : Problem Solving Questions
Find the range of the following data set:
Find the range of the following data set:
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:
So our answer should be 987
Example Question #14 : Descriptive Statistics
Give the midrange of the set 
The midrange of a set is the arithmetic mean of the greatest and least values, which here are 
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