GMAT Math : GMAT Quantitative Reasoning
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Example Questions
Example Question #85 : Descriptive Statistics
Find the median of the following set of data:
The median of a set of data is the entry located directly in the middle when the entries are arranged in increasing order. The first step, then, is to arrange the given set of data in increasing order:
Because we have an even number of entries, we can see that no entry is located directly in the middle. When this is the case, the median is the average of the middle two entries, which gives us:
Example Question #2091 : Problem Solving Questions
Determine the median for the following set of numbers.
To find the median, sort the numbers and determine which one is in the middle.
Since 
Example Question #2091 : Problem Solving Questions
Find the median of the following set of numbers:
The median is the middle number when the numbers are sorted from smallest to largest. Since they are already sorted, the answer is 
Example Question #2092 : Problem Solving Questions
Find the median of the following data set:
Find the median of the following data set:
To find median, we must first arrange our terms in ascending order.
So...
Now, our median will be the term directly in the middle of our data set. In this case, the median is 117.
Example Question #21 : Calculating Median
Give the median of the set 
The median of an odd number of data values is the middle valie when the scores are arranged in descending order. Since the scores are arranged, the middle score, and the median, is 
Example Question #2095 : Problem Solving Questions
Give the median of the set 
The median of an even number of data values is the arithmetic mean of the middle two when the scores are arranged in descending order. Here, the scores are in descending order, and the middle two scores are 
Example Question #22 : Calculating Median
Find the median of the following set of numbers:
To find the median, order the numbers from smallest to greatest and then find the one in the middle. Thus, the answer is 
Example Question #92 : Descriptive Statistics
Given five distinct positive integers - 
Statement 1:
Statement 2:
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.
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 do NOT provide sufficient information to answer the question.
EITHER STATEMENT ALONE provides sufficient information to answer the question.
BOTH STATEMENTS TOGETHER do NOT provide sufficient information to answer the question.
The median of five numbers (an odd number) is the number in the middle when they are arranged in ascending order.
Assume both statements. The orderings
are all consistent with both statements. But in the first scenario, 
Example Question #23 : Calculating Median
What do you need to know in order to determine the median of a data set with one hundred elements?
Both the highest and lowest elements
All one hundred elements
The fiftieth-highest element
The fiftieth-lowest element
Both the fiftieth-highest and fiftieth-lowest elements
Both the fiftieth-highest and fiftieth-lowest elements
The median of a dataset with an even number of elements is the arithmetic mean of the two elements that fall in the middle when the elements are arranged in ascending order. Since there are 100 elements and 
Example Question #2093 : Problem Solving Questions
Rita keeps track of the number of times she goes to the gym each week for 1260 weeks. She goes 1 day a week for 119 weeks, 2 days a week for 254 weeks, 3 days a week for 376 weeks, and 4 days a week for 511 weeks. What is the mode of the number of days she goes to the gym each week?
511 weeks
119 weeks
1 day/week
2.5 days/week
4 days/week
4 days/week
The mode is the number that comes up most frequently in a set. Rita goes to the gym 4 times a week for 511 weeks. She clearly goes 4 times per week far more often than she goes 1, 2, or 3 times per week. Therefore the mode is 4 days/week. It is NOT 511 weeks. That is the frequency with which 4 days/week occurs, but not the mode.
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