Descriptive Statistics - GMAT Quantitative

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.

The range is the difference between the highest and lowest number.

First sort the set:

Reorder the values in numerical order:82, 85, 87, 87, 89

The median is the center number, 87.

Put the numbers in order from least to greatest:

The middle number is the median.

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

,

, and

are all consistent with both statements. But in the first scenario, is the median; in the other two, is the median. Therefore, it cannot be determined which is the median.

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.

The mode is the number that appears most frequently:

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

All other given information is extraneous to the problem.

The range is the highest value number minus the lowest value number in a sorted data set:

We need to sort the data set:

The range is the difference between the maximum and minimum value.

The range of a data set is the difference of the highest and lowest 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. The highest and lowest scores represented are 87 and 42, so the range is their difference: .

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:

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

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:

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:

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

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

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

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