Lesson: Applied Arithmetic - 18
Introducing Mean, Median, Mode And Range
[Page 18 of 36]
Mode
The mode is the number in a set of numbers which occurs the most. So the modal value of 5, 6, 3, 4, 5, 2, 5 and 3 is 5, because there are more 5s than any other number.
Range
The range is the largest number in a set minus the smallest number. So the range of 5, 7, 9 and 14 is (14 - 5) = 9. The range gives you an idea of how spread out the data is.
The Median Value
The median of a group of numbers is the number in the middle, when the numbers are in order of magnitude. For example, if the set of numbers is 4, 1, 6, 2, 6, 7, 8, the median is 6:
1, 2, 4, 6, 6, 7, 8 (6 is the middle value when the numbers are in order)
If you have n numbers in a group, the median is the (n + 1)/2 th value. For example, there are 7 numbers in the example above, so replace n by 7 and the median is the (7 + 1)/2 th value = 4th value. The 4th value is 6.
Mean Mode Median Video Lesson
Average is sometimes called Mean on standardized tests. Three other closely related statistical terms are Median, Mode and Range.
The test-maker likes to test whether students understand the difference between
Mean, Median, and Mode, so make certain to know these definitions.
Mean = Average
Median = Middle value in a set of numbers (if the set has an even number of elements, the number midway between the two middle values)
Mode = Most frequently appearing value in a set of numbers
Range = The difference between the greatest and least values in a set of numbers
Let's take a look at how these concepts are tested.
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