MAT 1272 Statistics, SP2014

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  • PE1.11
  • February 26, 2014 at 1:26 pm #13692

    Ezra Halleck
    Participant

    The following data give the commuting time (in minutes) from home to school for 30 high school students.
    22 16 11 12 23 51 42 6 31 10
    19 8 21 28 15 43 5 19 7 14
    36 27 8 23 37 18 13 29 17 9
    a. Order the data.
    b. Prepare an ordered stem-and-leaf display. Make sure to use a key.
    c. Is the data set symmetric, skewed to the right or skewed to the left?

    March 3, 2014 at 2:42 pm #17640

    Vitaliy
    Member

    A. 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 21, 22, 23, 23, 27, 28, 29, 31, 36, 37, 42, 43, 51.
    B. Key: 1|2 : 12

    0|567889
    1|01234567899
    2|1233789
    3|167
    4|23
    5|1

    C. The data isn’t symmetrical, it is slightly skewed right.

    March 5, 2014 at 11:21 am #17706

    Leonardo Calegare
    Participant

    It looks to the left. How did you figure to the right?

    March 5, 2014 at 12:14 pm #17707

    Meiko Harris
    Member

    This is my solution

    March 5, 2014 at 5:10 pm #17708

    Leonardo Calegare
    Participant

    In your solution you did write “left”. I am still trying to figure out how does one see “left” or “right”.

    March 5, 2014 at 5:39 pm #17709

    Ezra Halleck
    Participant

    The way to think of skewing is to begin with a symmetric data set and then pull on an existing tail or create one if need be. The direction of the pull is the skewing. This data set has absolutely no left tail, just a right tail, so the skewing is by default to the right.

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