Results 1 to 4 of 4

Math Help - Mean??

  1. #1
    Junior Member
    Joined
    Jul 2008
    Posts
    53

    Mean??

    (1 pt) The distribution below shows the number of dogs per family in the United States.
    Number of Dogs Proportion of Families
    0 0.505
    1 0.203
    2 0.191
    3 0.073
    4 0.028
    Using the corresponding strings of Random digits, simulate a sampling of 10 U.S. families and calculate the Mean Number of dogs in the sample.

    (a) 08422 68953 19645 09303 23209 02560
    Mean of the Sample:

    (b) 99019 02529 09376 70715 38311 31165
    Mean of the Sample:

    how can i calculate the mean??
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by makaveli89 View Post
    (1 pt) The distribution below shows the number of dogs per family in the United States.
    Number of Dogs Proportion of Families
    0 0.505
    1 0.203
    2 0.191
    3 0.073
    4 0.028
    Using the corresponding strings of Random digits, simulate a sampling of 10 U.S. families and calculate the Mean Number of dogs in the sample.

    (a) 08422 68953 19645 09303 23209 02560
    Mean of the Sample:

    (b) 99019 02529 09376 70715 38311 31165
    Mean of the Sample:

    how can i calculate the mean??
    Mean = \sum_{i = 1}^{5} x_i \, p_i where x_i is the number of dogs and p_i is the proportion of families with x_i dogs.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jul 2008
    Posts
    53
    so what about the string random digits 08422 68953 19645 09303 23209 02560. what do they signify?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by makaveli89 View Post
    (1 pt) The distribution below shows the number of dogs per family in the United States.
    Number of Dogs Proportion of Families
    0 0.505
    1 0.203
    2 0.191
    3 0.073
    4 0.028
    Using the corresponding strings of Random digits, simulate a sampling of 10 U.S. families and calculate the Mean Number of dogs in the sample.

    (a) 08422 68953 19645 09303 23209 02560
    Mean of the Sample:

    (b) 99019 02529 09376 70715 38311 31165
    Mean of the Sample:

    how can i calculate the mean??
    You take blocks of three random digits and treat as a three digit random number in the range 0,1. Then use this to generate the number of dogs in a hypothetical family.

    The cumulative probability for the dog distribution is given below in the third cloumn, this is what you need to simulate a number of families dog ownership statistics:

    0 0.505 0.505
    1 0.203 0.708
    2 0.191 0.899
    3 0.073 0.978
    4 0.028 1.000

    So our first random number is 0.0842 this is less than 0.505 so this family has 0 dogs.

    The next random number is 0.226, again less than 0.595 so the second familly has 0 dogs

    The next random number is 0.895, again less than 0.899 but greater than 0.708 so the second familly has 2 dogs

    etc

    This gives you a sample of family dog ownership statistics from which you should compute a mean.

    CB
    Follow Math Help Forum on Facebook and Google+


/mathhelpforum @mathhelpforum