Remember the 3 Ms? Mean, Median, and Mode ~Central Tendency~

Mean The mean is the average of a data set To find the mean: 1. Find the sum of the data items 2. Divide by the number of data items. The mean will Always be greater than the smallest number and less than the largest number. These are data items: 2, 3, 4, 5, 8, 8, and (total data items) 42 / 7 = the mean, which is 6 = Average

You try the next one! A way to remember…Mean – It is very mean because it makes you do all that work! grrrrrrrrr

ABC Warehouse sells flat screen TVs at the following prices: $350, $275, $500, $325, $100, $375, and $300. What is the mean price?

$350 + $275 + $500 + $325 + $100 + $375 + $300 = $2225/7 = $

Outliers Values that are much higher or lower than others in a data set are Outliers. High temperatures Monday through Friday were 80, 81, 60, 77, and 82. Identify the outlier in the data.

= 380/5 = 76…does that make sense? Without outlier = 320/4 = 80…makes more sense

Median What does this word make you think of… The middle number of a set of data, arranged in numerical order Median is the middle of the road

How Tall are You? Need 5 volunteers: What is the median height? Need 1 more volunteer What is the median height? What was different about our middle number? Odd Number of Data Items: the middle number when the data items are put in numerical order. Even Number of Data Items: the two middle numbers when data items are put in numerical order.

Median Find the median of this data set 4, 3, 7, 9, 5, 3, 1 1. Put them in order! There are 7 numbers in total…looking for the “middle” number Median =

Mode What does this word make you think of? Mode: the data item that occurs the MOST What is the mode from our previous data set? 4, 3, 7, 9, 5, 3, 1 3 is a mode for these data items.

How many siblings do you have? Raise your hand if you are: What is the mode?

Mean The average MedianThe number or average of the numbers in the middle Mode The number that occurs most

Find me the M, M & Ms 12, 14, 26, 37, 8, and 14 Mean: Median: How many Modes: Mode:

Find me ONLY Mode: Grape, grape, banana, nectarine, strawberry, strawberry, strawberry, orange, watermelon. What is it?

Find me the M, M & Ms 2.3, 4.3, 3.2, 2.9, 2.7, and 2.3. Mean: Median: How many Modes? Mode:

Describing Data with M, M, & M. You can use what you know about Mean, Median, and Mode to describe data. But figuring out which M describes it best is difficult. I think mode describes it best! Nah! Its got to be mean!

Which M, M, & M is best? Mean: numerical data without an outlier(s) Median: numerical data with an outlier(s) involved Mode: non-numerical data

Which M, M, & M is best? The favorite movie of students in the eighth grade class?

Which M, M, & M is best? The distances students in your class travel to school.

Which M, M, & M is best? The daily high temperature during a week in July.