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AIM: Most Appropriate Measure
of Central Tendency
                     Do Now




                                1
2
AIM: Most Appropriate Measure
of Central Tendency
                             Do Now

    The table below shows the leading shot blockers in the
    WNBA during the 2001 season.
                 Player              Shots Blocked

              Vicky Bullet               58
             Margo Drydek                 113
              Lauren Jackson             64
               Lisa Leslie                71
             Maria Stepanoya             64

  1.) Read the following definition:
       Outlier: A value that is much less or much more than the
  other values.

  2.) Based on that definition, what is the outlier in the Shots
  Blocked data set?




                                                                   3
Anticipatory Set
    We will now explore the affect of the outlier on the
    measures of central tendency.

                  Player                  Shots Blocked

                Vicky Bullet                  58
               Margo Drydek                   113
               Lauren Jackson                 64
                Lisa Leslie                   71
              Maria Stepanoya                 64

         With Outlier                      Without Outlier

Data Set:      58 6464                              58 64
                       71 113
                                     Data Set:
                                                          64 71

 Measures of Central Tendency:       Measures of Central Tendency:




  1.) How does the outlier affect the mean and median of the data?



  2.) Which is the most appropriate measure of central tendency?




                                                                     4
5
Think-Pair-Share Activity:
1.) The data shows Sara‛s scores for the last 5 math tests:
               ,    ,      ,    ,
                88 90 55 94 89



       a.) What is the outlier?
       b.) What is the mean and median with the outlier?

               88   89
         55               90   94

       c.) What is the mean and median without the outlier?

              88    89
                         90    94
      d.) How does the outlier affect the mean and median of the
      data?


     e.) Which is the most appropriate measure of central
     tendency?




                                                                   6
2.) For the following data sets, select whether the mean or the
median would be the most appropriate measure of central tendency.
Provide a reason.

         a.) 50, 52, 60, 58, 54, 55




         b.) 7, 4, 30, 9, 5, 2




         c.) -60, -58, 65, -62, -59, -55




         d.) -2, 1, 0, -4, -3, 5, 2




        e.) Pizza, Hamburger, Chicken, Pizza, Pizza




                                                                    7
2.) For the following data sets, select whether the mean or the
median would be the most appropriate measure of central tendency.
Provide a reason.


       a.) 50, 52, 60, 58, 54, 55          Mean, no outlier




       b.) 7, 4, 30, 9, 5, 2              Median, outlier present




       c.) -60, -58, 65, -62, -59, -55       Median, outlier present



       d.) -2, 1, 0, -4, -3, 5, 2         Mean, no outlier




       e.) Pizza, Hamburger, Chicken, Pizza, Pizza
                                    Mode, data is not numerical




                                                                       8
BEFORE YOU LEAVE:
1.) Create a data set below.




2.) Trade your sheet with your partner.

3.) Would the mean or the median better represents the data
set and provide an explanation.




                                                              9
Mr. Tjersland's Math 7




Homework: Castle Homework due Friday




                                       10
AIM: Most Appropriate Measure
of Central Tendency


          Outlier: A value that is much less or much
          more than the other values.


2.) For the following data sets, select whether the mean or the
median would be the most appropriate measure of central tendency.
Provide a reason.
         a.) 50, 52, 60, 58, 54, 55         Mean, no outlier




         b.) 7, 4, 30, 9, 5, 2             Median, outlier present




         c.) -60, -58, 65, -62, -59, -55      Median, outlier present



         d.) -2, 1, 0, -4, -3, 5, 2        Mean, no outlier




           e.) Pizza, Hamburger, Chicken, Pizza, Pizza


                               Mode, data is not numerical




                                                                        11

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Day 4 measures of central tendency

  • 1. AIM: Most Appropriate Measure of Central Tendency Do Now 1
  • 2. 2
  • 3. AIM: Most Appropriate Measure of Central Tendency Do Now The table below shows the leading shot blockers in the WNBA during the 2001 season. Player Shots Blocked Vicky Bullet 58 Margo Drydek 113 Lauren Jackson 64 Lisa Leslie 71 Maria Stepanoya 64 1.) Read the following definition: Outlier: A value that is much less or much more than the other values. 2.) Based on that definition, what is the outlier in the Shots Blocked data set? 3
  • 4. Anticipatory Set We will now explore the affect of the outlier on the measures of central tendency. Player Shots Blocked Vicky Bullet 58 Margo Drydek 113 Lauren Jackson 64 Lisa Leslie 71 Maria Stepanoya 64 With Outlier Without Outlier Data Set: 58 6464 58 64 71 113 Data Set: 64 71 Measures of Central Tendency: Measures of Central Tendency: 1.) How does the outlier affect the mean and median of the data? 2.) Which is the most appropriate measure of central tendency? 4
  • 5. 5
  • 6. Think-Pair-Share Activity: 1.) The data shows Sara‛s scores for the last 5 math tests: , , , , 88 90 55 94 89 a.) What is the outlier? b.) What is the mean and median with the outlier? 88 89 55 90 94 c.) What is the mean and median without the outlier? 88 89 90 94 d.) How does the outlier affect the mean and median of the data? e.) Which is the most appropriate measure of central tendency? 6
  • 7. 2.) For the following data sets, select whether the mean or the median would be the most appropriate measure of central tendency. Provide a reason. a.) 50, 52, 60, 58, 54, 55 b.) 7, 4, 30, 9, 5, 2 c.) -60, -58, 65, -62, -59, -55 d.) -2, 1, 0, -4, -3, 5, 2 e.) Pizza, Hamburger, Chicken, Pizza, Pizza 7
  • 8. 2.) For the following data sets, select whether the mean or the median would be the most appropriate measure of central tendency. Provide a reason. a.) 50, 52, 60, 58, 54, 55 Mean, no outlier b.) 7, 4, 30, 9, 5, 2 Median, outlier present c.) -60, -58, 65, -62, -59, -55 Median, outlier present d.) -2, 1, 0, -4, -3, 5, 2 Mean, no outlier e.) Pizza, Hamburger, Chicken, Pizza, Pizza Mode, data is not numerical 8
  • 9. BEFORE YOU LEAVE: 1.) Create a data set below. 2.) Trade your sheet with your partner. 3.) Would the mean or the median better represents the data set and provide an explanation. 9
  • 10. Mr. Tjersland's Math 7 Homework: Castle Homework due Friday 10
  • 11. AIM: Most Appropriate Measure of Central Tendency Outlier: A value that is much less or much more than the other values. 2.) For the following data sets, select whether the mean or the median would be the most appropriate measure of central tendency. Provide a reason. a.) 50, 52, 60, 58, 54, 55 Mean, no outlier b.) 7, 4, 30, 9, 5, 2 Median, outlier present c.) -60, -58, 65, -62, -59, -55 Median, outlier present d.) -2, 1, 0, -4, -3, 5, 2 Mean, no outlier e.) Pizza, Hamburger, Chicken, Pizza, Pizza Mode, data is not numerical 11