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P.O.D. #1. basic. advanced. 256 ÷ 4 . = 64. 482 ÷ 8. = 60.25. Interpreting Measures of Center. Mean. The sum of the data divided by the number of items in the data set. Usually thought of as the average. Example:

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slide2

P.O.D. #1

basic

advanced

256 ÷ 4

= 64

482 ÷ 8

= 60.25

slide4

Mean

  • The sum of the data divided by the number of items in the data set.
  • Usually thought of as the average.

Example:

Julie’s score on the math tests this year are 85, 67, 92, 50, 100, and 92.

Mean = (85 + 67 + 92 + 50 + 100 + 92)

6

= 486

6

= 81

slide5

Median

  • The value appearing at the center of a sorted list.
  • Numbers must be written in order from least to greatest.
  • If the set has two numbers in the middle, you add the 2 numbers and divide by two to find the median.

Example:

Julie’s score on the math tests this year are 85, 67, 92, 50, 100, and 92.

50, 67, 85, 92, 92, 100.

Median = 85 + 92

2

= 177

2

= 88.5

slide6

Mode

  • The value that occurs most often.
  • A data set can have no mode, one mode, or more than one mode.

Example:

Julie’s score on the math tests this year are 85, 67, 92, 50, 100, and 92.

50, 67, 85, 92, 92, 100.

Mode = 92

slide7

Whiteboard:

Find the mean of the following set:

6 , 2 , 3 , 8 , 9 , 7 , 8 , 4 , 7

(6 + 2 + 3 + 8 + 9 + 7 + 8 + 4 + 7)

9

= 54

9

= 6

slide8

Whiteboard:

Find the median of the following set:

5 , 3 , 7 , 8 , 7 , 6

3, 5, 6, 7, 7, 8

Median = 6 + 7

2

= 13

2

= 6.5

slide9

Whiteboard:

Find the mode of the following set:

3 , 9 , 3 , 7, 4 , 9 , 3 , 7 , 4, 7, 11

3, 3, 3, 4, 4, 7, 7, 7, 9, 9, 11

Mode = 3 and 7

slide10

Whiteboard:

A weather station created this table to show the number of days over 70°.

Find the mean number of days above 70°.

(12 + 6 + 8 + 13 + 14 + 3 + 14)

7

= 70

7

= 10

slide11

Whiteboard:

A weather station created this table to show the number of days over 70°.

Find the median number of days above 70°.

3, 6, 8, 12, 13, 14, 14

Median = 12

slide12

Whiteboard:

A weather station created this table to show the number of days over 70°.

Find the mode.

3, 6, 8, 12, 13, 14, 14

Mode = 14

slide13

Whiteboard:

A weather station created this table to show the number of days over 70°.

If you were trying to convince a friend that it was an especially warm summer, which measure of center would you use?

Mean = 10

Median = 12

Mode = 14

slide14

P.O.D. #2

basic

advanced

Mrs. Sprinkles class received the following scores on their last quiz:

12, 18, 14, 19, 20, 19

What score would the next student need to receive to make the mean score 18?

Mrs. Sprinkles class received the following scores on their last quiz:

12, 18, 14, 19, 20, 19

Find the mean, median, and mode of the scores.

102 + x

7

Mean- 17

Median- 18.5

Mode- 19

= 18

X = 24

slide15

Range is the difference between the largest and the smallest value in a set of data.

13, 18, 13, 14, 13, 16, 14, 21, 13

The largest value in the list is 21, and the smallest is 13, so the range is

21 – 13 = 8.

slide16

Whiteboard:

Find the range of the following set:

3 , 9 , 3 , 7, 4 , 9 , 3 , 7 , 4, 7, 11

11 − 3 = 8

slide17

Whiteboard:

A weather station created this table to show the number of days over 70°.

Find the range of the data.

14 − 3 = 11

slide18

Measures of Center

Fortune Teller/ Cootie Catcher

slide19

Outside Corners: include brief definition

  • mean
  • median
  • mode
  • range

Inside: 8 sets of data (5 or 6 numbers each)

  • Inner Flap- answer key for each set of data
  • mean
  • median
  • mode
  • range