Question

To see if a spinner that is divided into 100 equal sections labeled 1 to 100...

To see if a spinner that is divided into 100 equal sections labeled 1 to 100 is fair, a researcher spins the spinner 1000 times and records the result. Let X represent the outcome. The table below shows the probability distribution of the data. Find the mean and the standard deviation of the probability distribution using Excel.

  • Round the mean and standard deviation to two decimal places.

    "x"   P(x)
    1   0.011
    2   0.011
    3   0.011
    4   0.01
    5   0.008
    6   0.011
    7   0.011
    8   0.01
    9   0.01
    10   0.011
    11   0.011
    12   0.01
    13   0.008
    14   0.01
    15   0.008
    16   0.012
    17   0.006
    18   0.011
    19   0.012
    20   0.009
    21   0.011
    22   0.012
    23   0.01
    24   0.011
    25   0.011
    26   0.01
    27   0.01
    28   0.01
    29   0.012
    30   0.009
    31   0.011
    32   0.011
    33   0.008
    34   0.009
    35   0.009
    36   0.009
    37   0.01
    38   0.008
    39   0.009
    40   0.01
    41   0.012
    42   0.01
    43   0.009
    44   0.009
    45   0.01
    46   0.011
    47   0.01
    48   0.011
    49   0.011
    50   0.011
    51   0.011
    52   0.01
    53   0.007
    54   0.011
    55   0.009
    56   0.01
    57   0.007
    58   0.011
    59   0.011
    60   0.012
    61   0.008
    62   0.011
    63   0.009
    64   0.01
    65   0.01
    66   0.011
    67   0.009
    68   0.01
    69   0.01
    70   0.009
    71   0.01
    72   0.01
    73   0.011
    74   0.008
    75   0.009
    76   0.009
    77   0.011
    78   0.011
    79   0.011
    80   0.009
    81   0.01
    82   0.008
    83   0.009
    84   0.011
    85   0.012
    86   0.01
    87   0.009
    88   0.011
    89   0.01
    90   0.01
    91   0.009
    92   0.011
    93   0.011
    94   0.011
    95   0.008
    96   0.01
    97   0.01
    98   0.01
    99   0.011
    100   0.009

Homework Answers

Answer #1

MEAN= E(X)= X*P(x)= 50.277

MEAN=50.28

VARIANCE= E(X^2)- {E(X)}^2

= 3368.351-(50.28)^2

= 3368.351-2528.078

=840.27

S.D= SQRT(840.27)= 28.99

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