P.O.D. #1

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description

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: - PowerPoint PPT Presentation

Transcript of P.O.D. #1

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P.O.D. #1basic advanced

256 ÷ 4 482 ÷ 8= 64 = 60.25

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Interpreting Measures of Center

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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

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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

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

one mode.

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

Mode = 92

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

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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

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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

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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

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Month Days over 70°

March 12April 6May 8June 13July 14

August 3September 14

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

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Month Days over 70°

March 12April 6May 8June 13July 14

August 3September 14

Whiteboard:

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

Find the median number of days above 70°.

Median = 12

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

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Month Days over 70°

March 12April 6May 8June 13July 14

August 3September 14

Whiteboard:

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

Find the mode.

Mode = 14

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

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Month Days over 70°

March 12April 6May 8June 13July 14

August 3September 14

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

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P.O.D. #2basic advanced

Mrs. Sprinkles class received the following scores on their last quiz:12, 18, 14, 19, 20, 19Find the mean, median, and mode of the scores.

Mean- 17Median- 18.5Mode- 19

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?

102 + x 7 = 18

X = 24

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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.

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Whiteboard:

Find the range of the following set:3 , 9 , 3 , 7, 4 , 9 , 3 , 7 , 4, 7, 11

11 − 3 = 8

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Month Days over 70°

March 12April 6May 8June 13July 14

August 3September 14

Whiteboard:

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

Find the range of the data.

14 − 3 = 11

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Measures of CenterFortune Teller

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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

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P.O.D. #basic advanced

3260 ÷ 5 7404.8 ÷ 8 = 652 = 925.6