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

Brilliant!

2, 3, 4, 5, 6, 6, 7, 8

Alright, now that we have that out of the way…

Let’s talk about MEAN

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

1. 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

3. 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!

Stuck in the middle…

Is the MEDIAN!

The MEDIAN is the middle number of a set of data.

(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

1, 2, 3, 5, 5, 6, 7, 7, 8

So…5 is the MEDIAN

*Notice that there are EXACTLY 4 numbers to the right and 4 numbers to the left

(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

1, 2, 3, 5, 6, 8, 9, 10

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

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, 10Subtract the smallest from the largest: 10 – 2

So, the RANGE is 8!

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!