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Ch2.7_DataMeasuresCentralTendency.notebook                                                           September 19, 2011



                                              Warm Up
                                                                             y
                                                                       6



               Graph                                                   5

                                                                       4

                                                                       3



               y < x ­ 4                 ­6   ­5   ­4   ­3   ­2   ­1
                                                                       2

                                                                       1

                                                                         0       1   2   3   4   5    6
                                                                                                          x


                                                                       ­1

                                                                       ­2

                                                                       ­3

                                                                       ­4

                                                                       ­5

                                                                       ­6




           Chapter 2.7
           Data and Measures of Central Tendency




                                                                                                                          1
Ch2.7_DataMeasuresCentralTendency.notebook           September 19, 2011



                            Vocab
           Statistics ­ the study of data

           Population ­ large (huuuuuuuuge) group of data

           Sample ­ smaller group from the population




                    Frequency Table
               A way to compile and organize data
                       # of pets
                                         Frequency
                       at home
                       0
                       1
                       2
                       3 or more



                                                                          2
Ch2.7_DataMeasuresCentralTendency.notebook           September 19, 2011


                Fill in the Frequency Table with the 
                the given test scores in red
           Score Interval   Frequency
                                             90 83 68
           90 ­ 100
                                             34 85 76
           80 ­ 89                           79 89 80
           70 ­ 79                           77 59 91
                                             81 72 64
           60 ­ 69
                                             98 96 62
           50 ­ 59
           49 or lower



                 Measures of Central Tendency
            Mean ­ average of data

            Median ­ middle number (when arranged in order)

            Mode ­ most frequent value




                                                                          3
Ch2.7_DataMeasuresCentralTendency.notebook                          September 19, 2011



                          Example
               Find the mean, median, and mode of the following fourteen 
               numbers

                 4, 6, 2, 8, 9, 4, 6, 4, 5, 7, 5, 8, 3, 2
               Mean (average) = 
                                     Sum of numbers  
                                               14


             Median (middle #) = 
                  2, 2, 3, 4, 4, 4, 5, 5, 6, 6, 7, 8, 8, 9

             Mode (most common) = 




                           Example
          Find the mean, median, and mode of the following ACT scores
                    22, 28, 30, 27, 25, 31, 25, 26, 19
           Mean (average) = 




         Median (middle #) = 




          Mode (most common) = 

                                                                                         4
Ch2.7_DataMeasuresCentralTendency.notebook   September 19, 2011




                           Page 84
                           1 ­ 14 all




                                                                  5

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Ch2.7 Data Measures of Central Tendency

  • 1. Ch2.7_DataMeasuresCentralTendency.notebook September 19, 2011 Warm Up y 6 Graph 5 4 3 y < x ­ 4 ­6 ­5 ­4 ­3 ­2 ­1 2 1 0 1 2 3 4 5 6 x ­1 ­2 ­3 ­4 ­5 ­6 Chapter 2.7 Data and Measures of Central Tendency 1
  • 2. Ch2.7_DataMeasuresCentralTendency.notebook September 19, 2011 Vocab Statistics ­ the study of data Population ­ large (huuuuuuuuge) group of data Sample ­ smaller group from the population Frequency Table A way to compile and organize data   # of pets   Frequency   at home   0   1   2   3 or more 2
  • 3. Ch2.7_DataMeasuresCentralTendency.notebook September 19, 2011 Fill in the Frequency Table with the  the given test scores in red   Score Interval   Frequency 90 83 68   90 ­ 100 34 85 76   80 ­ 89 79 89 80   70 ­ 79 77 59 91 81 72 64   60 ­ 69 98 96 62   50 ­ 59   49 or lower Measures of Central Tendency Mean ­ average of data Median ­ middle number (when arranged in order) Mode ­ most frequent value 3
  • 4. Ch2.7_DataMeasuresCentralTendency.notebook September 19, 2011 Example Find the mean, median, and mode of the following fourteen  numbers 4, 6, 2, 8, 9, 4, 6, 4, 5, 7, 5, 8, 3, 2 Mean (average) =    Sum of numbers               14 Median (middle #) =  2, 2, 3, 4, 4, 4, 5, 5, 6, 6, 7, 8, 8, 9 Mode (most common) =  Example Find the mean, median, and mode of the following ACT scores 22, 28, 30, 27, 25, 31, 25, 26, 19 Mean (average) =  Median (middle #) =  Mode (most common) =  4
  • 5. Ch2.7_DataMeasuresCentralTendency.notebook September 19, 2011 Page 84 1 ­ 14 all 5