8.2 
Mod, Median, Mean and Range 






We will learn to recognize and determine the mode, median, mean, and range from uncollected data.





MODE 


The category with the highest repetition frequency.



EXAMPLE:
Let's say you have the following list of numbers:
 3, 3, 8, 9, 15, 15, 15, 17, 17, 27, 40, 44, 44
In this case, the mode is 15 because it is the most frequently occurring round number. However, if there is one of the number 15 missing on your list, then you will have four modes which are 3, 15, 17, and 44.





MEDIAN 


The data value that is in the middle of a data set arranged in ascending order.



EXAMPLE:
The middle or median number is 15.






MEAN 


Average number.



EXAMPLE:
Let's say you have four test scores 15, 18, 22, and 20.
To get the average, you must add all four scores together, then divide the total by four. The average produced was 18.75.
Written, it looks like this:
\(\frac{15+18+22+20}{4}=\frac{75}{4}=18.75\)






RANGE 


The difference between the maximum value and the minimum value.



EXAMPLE:
The range is simply the smallest number subtracted from the largest number in the set. To calculate the range, you subtract 3 from 44, giving you a range of 41. Having been written, the equation looks like this:
44  3 = 41









