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Mean, Median, Mode: 

Mean, Median, Mode By: Dean Systermann

Before we begin…: 

Before we begin… We are using this data set 8, 4, 6, 9, 4, 6, 7, 8, 2, 8, 5

Mean: 

Mean Definition: Average for a set of numbers Process… Add up all the numbers Divide by total amount of numbers

Applying Mean: 

Applying Mean First step: adding all the numbers 8+4+6+9+4+6+7+8+2+8+5 Total = 67 Second Step: divide by total number 67 ÷ by 11 = 6.090909… This becomes the data set’s mean

Median: 

Median Definition: Middle number for a data set Half the numbers are less Half the numbers are greater

Finding the Median: 

Finding the Median Step one: Place in value order 2,4,4,5,6,6,7,8,8,8,9 Step two: find the middle one Middle Number: 6 6 = median

Finding the Median Continued: 

Finding the Median Continued There are five numbers less 2,4,4,5,6 There are five numbers greater 7,8,8,8,9 Making 6 the middle number

Locating the Mode: 

Locating the Mode Simplest of the three Number that appears the most 2,4,4,5,6,6,7,8,8,8,9 4 and 6 appear twice 8 appears three times Thus, 8 is the mode

Quick Review: 

Quick Review Mean is the average Add up all the numbers Divide by the total amount Median is the middle number Remember to place in value order Mode, number that appears the most

Time For Some Problems: 

Time For Some Problems ÷ - + x

Data Set 2: 

Data Set 2 10,10,20,20,20,25,30,30,40,40,40,40 Find the mean, median, and mode

Data Set 2: 

Data Set 2 Finding mean: Total sum=295 Total amount of numbers=12 295 ÷ 12 Answer: 24.583333… Finding Median Are they in value order? Yes or no?

Data Set 2: 

Data Set 2 Answer: yes What’s the middle number then? 25 and/or 30 Finding median for even number set Add the two middle numbers Then divide by two

Data Set 2: 

Data Set 2 Median Add 25 and 30 Total = 55 55 ÷ 2 Answer= 27.5 Half the numbers are less than Half the numbers are greater

Data Set 2: 

Data Set 2 Mode = 40 Can there be two modes Answer: yes, called bimodal Example: (4,4,6,6) Both 4 and 6 appear twice Mode = 4, 6

Final Example: 

Final Example Find the mean, median, mode for… 100,100,165,215,240,240 Mean = 176.66666… Median = 190 Mode = 100, 240

Key Thoughts to Remember: 

Key Thoughts to Remember Mean is the average Median is the middle number Mode is the number appearing most