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                                 Central Tendency Print Activity

Use the “Explore It” mode to answer the following questions:

1. Use the diagram below to answer the following questions:




    a. The graph represents the heights of a collection of ____ artifacts.
                                                                     (7/8/9)

    b. The Range in the heights of the artifacts is 9 – 1 =                    m.

    c. The Range is defined as the __________ height – __________ height.
                                          (largest/smallest)         (largest/smallest)

    d. The ___________ represents the average height of the artifacts.
           (mean/median/mode)

    e. The Mean is defined as ____sum_____ = ______ =                               .



    f. In the diagram above, the heights have been arranged in _______________ order.
                                                                                (ascending/descending)

    g. The Median is the value that represents the ________________ height
                                                               (beginning/middle/end)
        when the heights are arranged in order.


Junior High Math Interactives                                                                      Page 1 of 7
2006 Alberta Education (www.LearnAlberta.ca)

Statistics and Probability/ Central Tendency / Object Interactive / Print Activity
    h. The Median height for this data is                      .

    i. The Modes are the values that occur ____________ often in a set of data.
                                                         (least/most)

    j. The value of the heights that occurs most often are                       and     .


2. Use the data in the diagram below to answer the following questions:




    a. The graph represents the ____________ of ________ artifacts.
                                      (length/width/height)    (2/5/10)

    b. The range of lengths is                  –         =             m.


                           sum
    c. The mean length = _________ = ______ =                                .
                         # of items


    d. The lengths arranged in ascending order are ____, ____, ____, ____, ____.

    e. The median length is                 .

    f. This data has ______________________.
                             (2 modes/no modes)




Junior High Math Interactives                                                          Page 2 of 7
2006 Alberta Education (www.LearnAlberta.ca)

Statistics and Probability/ Central Tendency / Object Interactive / Print Activity
3. Use the data table below to answer the following questions:




    a. The data represents the ___________________ of the artifacts.
                                           (length/width/height)

    b. The range for the widths is                   –             =      m.


    c. The mean width is _____ =                     .


    d. When the data is arranged in ascending order, the middle 2 widths are

        and          .

    e. When there is an ________ number of data values, the median is found by
                              (even/odd)

        arranging the data in order and averaging the 2 data values in the middle.

                                                          ____  ____
    f. The median width for this example is                                   .
                                                               2




Junior High Math Interactives                                                        Page 3 of 7
2006 Alberta Education (www.LearnAlberta.ca)

Statistics and Probability/ Central Tendency / Object Interactive / Print Activity
4. Use the data table below to answer the following questions:




    a. There are           data values in the data table.

    b. The range in height is                   –        =       .


    c. The mean height is ____                      .


    d. When the heights are arranged in order, the middle 2 heights are          and


                                    ____  ____
    e. The median height is                                 .
                                         2

    g. The most frequent heights of the artifacts are                and   and these
       values represent the ___________________.
                                    (mean/median/mode)




Junior High Math Interactives                                                        Page 4 of 7
2006 Alberta Education (www.LearnAlberta.ca)

Statistics and Probability/ Central Tendency / Object Interactive / Print Activity
5. The data table below represents a list of Amy’s math quiz marks.

    a. Input Amy’s marks into the data table on your screen.


    Data Table:




    b. Using the information on your screen, draw and include ALL labels on the bar
       graph below.

    Graph:




    c. The graph displays the math quiz marks for              different math topics.

    d. The quizzes are graded as a mark out of        .

    e. Amy achieved the highest quiz mark on the topic of                              .

    f. The lowest mark Amy achieved on any quiz was           out of 10.


Junior High Math Interactives                                                        Page 5 of 7
2006 Alberta Education (www.LearnAlberta.ca)

Statistics and Probability/ Central Tendency / Object Interactive / Print Activity
    g. The range of Amy’s marks was                  –              =       .


    h. The average mark was _____ =                      .



    i. The middle values when the marks are arranged in order are                           and         .

                                  ____  ____
    j. The median mark is                                   .
                                       2

    k. The most frequent marks Amy received were _______________.

    l. Did Amy achieve a passing average on these math quizzes? _____
                                                                                 (yes/no)



6. A favorite music survey was conducted with students.
   Use the data table and graph below to answer the following questions:

Data Table:                                 Graph:




    a. The horizontal axis displays                              different types of music on the graph.

    b. The vertical axis defines the _______________ or number of students that chose
       each music type.

    c. The number of students who chose country as their favorite was                               .

    d. The number of students who chose either pop rock or heavy metal was
          .

Junior High Math Interactives                                                                     Page 6 of 7
2006 Alberta Education (www.LearnAlberta.ca)

Statistics and Probability/ Central Tendency / Object Interactive / Print Activity
    e.       The music type with the lowest frequency was ________________.

    f.       The total number of students participating in the music survey was
                                                     .

    g.       Of the 3 measures of central tendency, the __________________ have
                                                             (mean/median/mode)
             meaning in this data set.

   h.    Explain why.
________________________________________________________________________

________________________________________________________________________

________________________________________________________________________

________________________________________________________________________


7. Match the following terms with their correct definition:


         a. Mean          ____ the data value that occurs most often.

         b. Median        ____ the difference between the largest and smallest data values.

         c. Mode          ____ the sum of the data divided by the number of data values.

         d. Range         ____ the value that represents the middle when data is arranged in
                               order.




Junior High Math Interactives                                                        Page 7 of 7
2006 Alberta Education (www.LearnAlberta.ca)

Statistics and Probability/ Central Tendency / Object Interactive / Print Activity

				
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