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Math Help - 3 sets of 5 pieces of data. Compare and contrast the three sets. Comment briefly on t

  1. #1
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    3 sets of 5 pieces of data. Compare and contrast the three sets. Comment on results

    Set A Set B Set C
    23500 15000 14000
    24000 15500 14500
    26500 16000 15500
    27000 16500 16000
    29000 17000 25000

    I'm being told to "Use more than one measure of location in the comparisons. There is no need to use measures of dispersion."

    So I think that means I need to find the Mean Median and Mode for each set. Which I can do except for the Mode because there are no repeated numbers in each set. I believe I need to make some kind of frequency distribution graph, but I don't see how I can do that, there are no frequencies.

    This question is worth 8 marks so I'm sure they want more from me than just the Mean and Median and a sentence saying "a is greater than b, b and c are very similar". What am I missing?

    Any help is very greatly appreciated, thanks.
    Last edited by Peely; November 5th 2010 at 01:10 PM.
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  2. #2
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    All you need to do here is find the median and mean.

    A frequency Dist Histogram will be of no value.
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  3. #3
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    Exactly my thoughts, but that is surely not worth 8 marks. There must be something else.
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  4. #4
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    Quote Originally Posted by Peely View Post
    "Use more than one measure of location in the comparisons. There is no need to use measures of dispersion."
    You have asnwered the question.

    There are many things you can do to measure and compare these data sets. But you can only be assessed on what you have been taught.
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    Can you perhaps give me examples of these things I can do? This maths module was well and truly thrust into my course, which we were told it would not be. They say its not degree level, but there also not really helping us with it. The lecture notes for this exercise only talks about frequency distribution graphs.

    Thank you very much for your replies.
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  6. #6
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    Where do I start, maybe you can perform and ANOVA or test for multivariate normality?

    By the sounds of the question finding the mean and median is the way to go. I can't predict or know how marks are given in your course. What level of Math/Stats are you studying?
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    That sounds very complicated...

    That sounds good, and thanks very much for the answer. But it looks complicated, and perhaps too far. I looked ahead to next weeks lecture notes and they mention box plots, which I had forgotten about, and to make one for each data set seams like a good way to do it, it allows me to compare them easily. Does that sound like a good idea?

    I'm not sure what level it is, its a maths module in a sociology course, it feels like AS level.
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  8. #8
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    In general Boxplots are great, but you did say

    Quote Originally Posted by Peely View Post
    There is no need to use measures of dispersion."
    So this time I wouldn't waste my efforts.
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    Box plots are a measure of dispersion? Oh dear. What's best for me to do then? This ANOVA test or multivariate normalization?


    Again thanks a lot for the help
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  10. #10
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    I think you should ask your lecturer/tutor.
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