M M M R… Mean Median Mode Range

Let’s talk about the rules… Every time you see RED font, write your answer on your dry erase board (or note card) DO NOT hold up your answers until I ask you to Question #1 What was the name of this lesson?

Mean, Median, Mode, & Range (MMMR)

The “Golden Rule” of MMMR When you get a set of data, the FIRST thing you should do is… ARRANGE THE DATA IN NUMERICAL ORDER FROM SMALLEST TO LARGEST! Ready to show me how smart you are? Problem #2 Apply the “Golden Rule” of MMMR to the following: 3, 5, 6, 7, 2, 8, 4, 6

Alright, now that we have that out of the way… Brilliant! 2, 3, 4, 5, 6, 6, 7, 8 Alright, now that we have that out of the way… Let’s talk about MEAN

The MEAN = the average of a set of numbers I’m not mean! Are you? The MEAN = the average of a set of numbers Sound familiar?

Steps to find the MEAN (Ex.) 6, 3, 6, 4, 4, 3, 7, 7 Apply the “Golden Rule” (just in case…) 3, 3, 4, 4, 6, 6, 7, 7 2. Add the numbers in the set 3 + 3 + 4 + 4 + 6 + 6 + 7 + 7 = 40 Divide by the total number in the set 40/8 = 5, so the MEAN is 5!

Who was paying attention? Problem #3 What is a synonym for MEAN? Problem #4 True or false? The Mean of the set DOES NOT have to be one of the numbers in the set.

#3 Another name for MEAN is AVERAGE #4 TRUE: “The mean of the set does not have to be one of the numbers in the set” Remember the example we just did? The set was: 3, 3, 4, 4, 6, 6, 7, 7 The mean was 5. *Notice that 5 IS NOT one of the numbers in the original set!

The MEDIAN is the middle number of a set of data. Stuck in the middle… Is the MEDIAN! The MEDIAN is the middle number of a set of data.

Step #1 Apply the “Golden Rule” 1, 2, 3, 5, 5, 6, 7, 7, 8 (Ex.) 3, 5, 2, 7, 5, 1, 8 Step #1 Apply the “Golden Rule” 1, 2, 3, 5, 5, 6, 7, 7, 8 Step #2 Count to find the middle number So…5 is the MEDIAN *Notice that there are EXACTLY 4 numbers to the right and 4 numbers to the left

Step #2: Find middle number Oh, no! There are TWO middle numbers! (Ex.) 2, 3, 5, 1, 10, 8, 9 Step #1: Golden Rule 1, 2, 3, 5, 6, 8, 9, 10 Step #2: Find middle number Oh, no! There are TWO middle numbers! Step #3: Find the AVERAGE of the middle numbers: (5 + 6)/2 MEDIAN = 5 1/2

Basically…. If the data set is an odd number, the middle number is the MEDIAN (Ex.) 1, 2, 3, 4, 5 3 is the MEDIAN If the data set is an even number, there are two middle numbers, so the MEDIAN is…

An average of the two middle numbers! (Ex.) 1, 2, 3, 4 2 + 3 = 5 5/2 = 2 ½ is the MEDIAN

The MODE is the number in a set of data that occurs MOST often M…M….MODE! The MODE is the number in a set of data that occurs MOST often MODE = MOST often

A data set can have ONE mode (Ex.) 1, 2, 2, 3 Mode = 2 A data set can have MORE THAN ONE mode (Ex.) 1, 1, 2, 2, 3 Mode = 1 and 2 A data set can have NO mode (Ex.) 7, 3, 2, Mode = none

FIND THE MODE: A) 6, 10, 22, 14, 15, 10, 13, 6, 17, 14 B) 5, 7, 3, 6, 8, 0, 1, 2, 11, 19, 4, 9, 12 C) 7, 3, 4, 8, 6, 4, 9, 2

A) Mode = 6, 10, 14 B) Mode = none C) Mode = 4

Give me an R! A! N! G! E! What’s that spell? RANGE! Range is the difference between the largest number in the set and the smallest number in the set. (Ex.) 4, 5, 10, 2 Golden Rule: 2, 4, 5, 10 Subtract the smallest from the largest: 10 – 2 So, the RANGE is 8!

Find the range for the following set of data: One last problem… Find the range for the following set of data: 3, 5, 7, 2, 9, 2, 8,

9 was the biggest number, and 2 was the smallest…. SO The answer is 9 – 2 = 7!