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Central Tendency. The Three “M”s. Mean. Median. Mode. Mean. ADD. First , __________ the data values. . DIVIDE. Then __________ by the number of data items. Median. First , the data values need to be arranged _____ __________. . in order. middle.

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Central

Tendency

The Three “M”s

Mean

Median

Mode


Mean

ADD

First, __________ the data values.

DIVIDE

Then __________ by the number

of data items.


Median

First, the data values need to be

arranged _____ __________.

in order

middle

Then find the _____________ number.

even

If there is an _________ number of data...

add

You ________ the TWO middle numbers

2

divide

and __________ by ___.


Mode

The data item or items that occur

the __________ often.

most


Range

(not a central tendency)

difference

Find the _____________ between

the lowest and highest value.



4, 7, 8, 2, 1, 2, 4, 2

Mean:

Add them all up and divide

by how many you have

4

7

8

2

1

2

4

2

30

+

+

+

+

+

+

+

=

3.75

30

8

÷

=

That is the mean!

Often referred to as the “average”


4, 7, 8, 2, 1, 2, 4, 2

Median:

Put them in order.

Find the middle.

Oh no!

1

2

2

2

4

4

7

8

That is

your

median!

Add them together and divide by 2.

2

4

6

2

3

+

=

÷

=


4, 7, 8, 2, 1, 2, 4, 2

Mode:

MOST often

Look at your list from the median

1

2

2

2

4

4

7

8

Which occurs the MOST often?

That makes 2 the MODE


4, 7, 8, 2, 1, 2, 4, 2

Range:

Subtract the highest and lowest values.

1

2

2

2

4

4

7

8

8

-

1

7

That is your range



5,8,13,12,7,4,8

Mean:

Add them all up and divide

by how many you have

5

8

13

12

7

4

8

57

+

+

+

+

+

+

=

8.142857

57

7

÷

=

Round to the TENTH

8.1


5,8,13,12,7,4,8

Median:

Put them in order.

Find the middle.

4

5

7

8

8

12

13

8

That is your

median!


5,8,13,12,7,4,8

Mode:

MOST often

Look at your list from the median

4

5

7

8

8

12

13

Which occurs the MOST often?

That makes 8 the MODE


5,8,13,12,7,4,8

Range:

Subtract the highest and lowest values.

4

5

7

8

8

12

13

13

-

4

9

That is your range



Outlier

extreme

Known as an “_______________” value.

high

Value(s) that are too _______

or too _______.

low


Determine the outlier in each set of data

and its effect on the data

#1

88, 90, 55, 94, 89

The outlier will make the data decrease

#2

16, 64, 88, 73, 57

The outlier will make the data decrease

#3

46, 64, 58, 53, 98

The outlier will make the data increase


Determine the outlier. Then determine its affect on the mean, median, and mode.

7, 9, 30, 9, 5, 6

The outlier will make the data

increase


7, 9, 30, 9, 5, 6 mean, median, and mode.

Mean

7 + 9 + 9 + 5 + 6

7 + 9 + 30 + 9 + 5 + 6

= 66

= 11

= 36

= 7.2

÷ 6

÷ 5

7.2

11

INCREASES

The outlier (30) ___________ the

mean by _____

3.8

( 11 - 7.2 = 3.8)


7, 9, 30, 9, 5, 6 mean, median, and mode.

Median

7 + 9

= 16

÷2

= 8

5 6 7 9 9

5 6 7 9 9 30

7

8

INCREASES

The outlier (30) ___________ the

median by ___

1

( 8 - 7 = 1)


7, 9, 30, 9, 5, 6 mean, median, and mode.

Mode

5 6 7 9 9

5 6 7 9 9 30

9

9

does not change

The outlier (30) _____________

the mode


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