Mean, Median, Mode

Mean, Median, Mode are used to describe data by a single number that represents a collection of numbers. 

The MEAN, or average of n numbers is the sum of the numbers divided by n.

                    EXAMPLE OF MEAN: 1,2,3,4,3,2,1   To find the mean of the numbers in this sequence, you will simply need to count the numbers in the sequence. You will find six numbers.                  Add up the numbers in the sequence and divide by six.  After adding the numbers up, you find that the sum is 16 and then to find the average you need to divide by 6 (the number of numbers which occur in the sequence.) 16/6= Approximately 2.67 being the average of the six-digit sequence.

The MEDIAN of n numbers is the middle number when the numbers are written in order. If n is even, the median is the average of the two middle numbers. 

                    EXAMPLE OF MEDIAN: 1,2,3,4,4,5,6,7    Since there is an even number of numbers in the sequence, take the average of the two middle numbers. (Average of 4 + 4 = 8 and                                                         divide that number by 2.....so the median = 4.

The MODE is the number that occurs most in the given sequence of numbers.

                    EXAMPLE OF MODE: 5,5,7,8,6,5,5,3,4     The mode of this sequence of numbers is 5 (because it occurs the most often.)

Example 1: Find the mean median and mode of these numbers. 5, 8, 9, 12, 5, 23, 7, 15

Step 1: To find the Mean you add up all of the numbers and you get 84, then you divide by the number of numbers. So you will take 84/8 and you get 10.5 as a mean.

Step 2: To find the median reorganize the numbers in order, 5,5,7,8,9,12,15,23, then find the middle two numbers (8 and 9) and take the average of them. 8.5 is your median

Step 3: The mode is easy to find it is the number repeated the most so in this case it would be 5.

Explanation video of how to measure the mean, median and mode