Mean, Median, and Mode

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Mean, Median and Mode

Mean, Median, and Mode

Measures of Central

Tendency

Mean, Median and Mode

What is the mean?

Mean, Median, and Mode

The SUM of the data, divided by the number of items in the set of data ….. commonly called “the average”.

Mean, Median and Mode

What is the mode?

Mean, Median, and Mode

The data item that appears the

“MOST”

Mean, Median and Mode

What if the data all appear the same number of times?

Mean, Median, and Mode

1,1,2,2,3,3,4,4

1,1,2,2,3,3,4,4

Mean, Median, and Mode

There is NO mode

Can there be more than one mode?

1,2,2,3,4,4,5,6,7

Mean, Median, and Mode

1,2,2,3,4,4,5,6,7

Yes, there are two modes.

What are they?

Mean, Median, and Mode

2 and 4

Mean, Median and Mode

What is the median?

Mean, Median, and Mode

What is the median?

The middle number in the set of data when written “in order” (first step we do)

Given: 2,14,28,0,1,1

Mean, Median, and Mode

Reorder from least to greatest

0,1,1,14,28

The middle number is 1

What if you have an even set of numbers?

Given: 10, 0, 20, 30

Reorder from least to greatest

0,10, 20, 30

Mean, Median, and Mode

Add the two middle numbers

15

Mean, Median and Mode

What is an outlier?

Which will an outlier affect the most: the mean, median or mode? (Hint:

Think of class test scores

A data item that is far apart from the rest of the data items

Mean, Median and Mode

What is the range?

Mean, Median, and Mode

The difference between the largest and smallest data values

Mean, Median and Mode

Let’s try one …

Step 1 –

Rewrite in order from least to greatest

Mean, Median, and Mode

2, 1, 0, 1, 5, 3, 4, 2, 0, 3, 1, 2

Mean, Median and Mode

Mean 2 Range 5

Median 2 Mode 1 and 2

Mean, Median, and Mode

2, 1, 0, 1, 5, 3, 4, 2, 0, 3, 1, 2

Mean, Median and Mode

Test scores in an Algebra class:

99, 85, 80, 25, 99, 100

What is the mean, median, mode and range?

Mean, Median, and Mode

Mean 81.3 Median 92

Mode 99 Range 75

Mean, Median and Mode

Write a paragraph about what would be your most useful indicator of central tendency in this case: You are ordering a small number of shoes for your

Mean, Median, and Mode shoe store based on the sales of sizes from last year. Write why you made your selection. Why did you not choose the other two?

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