Practice Questions for Business Statistics

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Chapter: Descriptive Statistics

Contents:

21-1 Questions (a) to (c) refer to the following figure:

1743-1 X Frequency of X

Numerator

Denominator

Questions:

21-1

    Q:  Questions (a) to (c) refer to the following figure:

                   |
                   |
        Frequency  |              B
                   |
                   |           B     B
                   |
                   |              A        C
                   |                    C     C
                   |
                   |         A         A
                   |               C               C
                   |          B        B
                   |      A   C           A             C
                   |   A   C B          B    A             C
                   |A C   B                 B   A               C
                   --------------------------------------------------->
                                          Score

                   NOTE:  Connect the A points with a smooth curve to form
                          distribution A, the B points with a smooth curve
                          to form distribution B,  and the C points with a
                          smooth curve to form distribution C.

        a.  In the figure, which distribution's mean differs from the mean
            of the other two distributions?

        b.  In the figure, which distribution has the smallest standard
            deviation?

        c.  In the figure, is it likely that the mean of distribution A
            corresponds closely with the mode of distribution B?

            a.  Yes            b.  No            c.  Cannot be determined

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1743-1

    Q:  The sample mean of the following sample

                  X           Frequency of X
             -----------------------------------
                  2                 1
                  3                 2
                  4                 3

        is:    (1)  3
               (2)  2
               (3)  20
               (4)  20/9 = 2.22
               (5)  20/6 = 3.33

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Answers:

 21-1 
  A:    a.  The mean of distribution C differs from the means of distributions
            A and B.

        b.  Distribution B has the smallest standard deviation.

        c.  Yes, it is likely that the mean of distribution A corresponds
            closely with the mode of distribution B.

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1743-1

    A:  (5)  20/6 = 3.33

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Identification:

21-1

Based upon item submitted by R. Shavelson - UCLA
        Multiple Choice
PROBABILITY
        MEAN              STANDARDDEVIATIO  DESCRSTAT/P
        PARAMETRIC        STATISTICS

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1743-1

Item is still being reviewed
        Multiple Choice
CENTRALTENDENCY   MEAN
        DESCRSTAT/P       PARAMETRIC        STATISTICS

T= 2    Computation
D= 1    General

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