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P.O.D. #1

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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P.O.D. #1

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  1. P.O.D. #1 basic advanced 256 ÷ 4 = 64 482 ÷ 8 = 60.25

  2. Interpreting Measures of Center

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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.

  15. Whiteboard: Find the range of the following set: 3 , 9 , 3 , 7, 4 , 9 , 3 , 7 , 4, 7, 11 11 − 3 = 8

  16. Whiteboard: A weather station created this table to show the number of days over 70°. Find the range of the data. 14 − 3 = 11

  17. Measures of Center Fortune Teller/ Cootie Catcher

  18. 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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