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Math Help - [SOLVED] please help with standard deviation...

  1. #1
    baby_pinoy56
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    [SOLVED] please help with standard deviation...

    1.Find the mean and the standard deviation of this set of data.
    24, 25, 15, 19, 17
    2. Make up a set of five data items that has the same mean as the data set in question 1 but has a smaller standard deviation
    3. Make up a set of five data items that has the same mean as the data set in Question 1 but has a larger standard deviation
    4.Make up a set of data items that has the same standard deviation as the data set in question 1 but has a different mean.

    Thank you SOO MUCH!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by baby_pinoy56 View Post
    1.Find the mean and the standard deviation of this set of data.
    24, 25, 15, 19, 17
    mean=(24 +25 +15 +19 +17)/5
    SD=sqrt{[(24-mean)^2 +(25-mean)^2 +(15-mean)^2 +(19-mean)^2 +(17-mean)^2]/N}

    where N=5 or 4 depending how your teacher has chosen to define it.

    2. Make up a set of five data items that has the same mean as the data set in question 1 but has a smaller standard deviation
    let m=mean of data set in Q1. Let the new data set be:

    m, m, m, m, m.

    You should calculate the mean and standard deviation of this data set
    yourself.

    3. Make up a set of five data items that has the same mean as the data set in Question 1 but has a larger standard deviation
    m+1000, m+1000, m-1000, m-1000, m.

    You should calculate the mean and standard deviation of this data set
    yourself.

    4.Make up a set of data items that has the same standard deviation as the data set in question 1 but has a different mean.
    24+m, 25+m, 15+m, 19+m, 17+m.

    You should calculate the mean and standard deviation of this data set
    yourself.


    RonL
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