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KitKat16

  • one year ago

HELP!!! The box plots below show attendance at a local movie theater and high school basketball games. Which of the following best describes how to measure the spread of the data?

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  1. KitKat16
    • one year ago
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  2. KitKat16
    • one year ago
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    A: The IQR is a better measure of spread for movies than it is for basketball games. B: The standard deviation is a better measure of spread for movies than it is for basketball games. C: The IQR is the best measurement of spread for games and movies. D: The standard deviation is the best measurement of spread for games and movies. I know it can't be A or D

  3. KitKat16
    • one year ago
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    I think it is B because it has a bigger spread.

  4. anonymous
    • one year ago
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    The problem with the standard deviation in this case is that there is no way to calculate it - we don't have the mean in this problem, so it is not possible to do the calculation without more information.

  5. Nurali
    • one year ago
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    i think The standard deviation is the best measurement of spread for games and movies.

  6. KitKat16
    • one year ago
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    So IQR? Is that called a H- spread? What is the H do you know?

  7. anonymous
    • one year ago
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    @Nurali How would we know this without knowing the mean or standard deviation?

  8. anonymous
    • one year ago
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    @KitKat16 H-spread is the same as the IQR, but I'm not sure what it stands for. Let me hunt a little.

  9. anonymous
    • one year ago
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    H seems to stand for "hinge," because Q3 is sometimes referred to as the "upper-hinge" and Q1 is the "lower hinge." The difference Q3-Q1 is the spread between them, hence "H-spread"

  10. KitKat16
    • one year ago
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    Oh thank you Ive been trying to figure that out

  11. KitKat16
    • one year ago
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    So in order to know this answer we would need to know mean or standard deviation?

  12. KitKat16
    • one year ago
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    @Nurali I know that D is wrong

  13. KitKat16
    • one year ago
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    So I thought it had to be : The standard deviation is a better measure of spread for movies than it is for basketball games

  14. KitKat16
    • one year ago
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    @ganeshie8 can you look at this for me please?

  15. anonymous
    • one year ago
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    I think we have to assume that this is all the information we are given. In which case, it wouldn't make sense to choose the options with standard deviation because we know nothing about them. I believe that C must be the correct answer because there isn't really an alternative (unless there is some information I'm missing).

  16. welshfella
    • one year ago
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    Is the width of the box indicative of smaller standard deviation. (I never did these before so i'm no expert!) Just a thought

  17. KitKat16
    • one year ago
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    I thought the box was to show the quadrants

  18. welshfella
    • one year ago
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    Do the 2 ends of the box give the upper and lower quartiles?

  19. welshfella
    • one year ago
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    - if so then the IQR for movies is less that that for games.

  20. KitKat16
    • one year ago
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    spacings between the different parts of the box indicate the degree of dispersion (spread) and skewness in the data, and show outliers.

  21. welshfella
    • one year ago
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    so maybe A?

  22. anonymous
    • one year ago
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    @welshfella The two ends of the box do give the measure of spread, but based on the median rather than the mean Since we know nothing about the mean or standard deviation, the only measure of spread we have is this box-and-whisker plot

  23. welshfella
    • one year ago
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    the line in the box is the median right?

  24. anonymous
    • one year ago
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    Correct

  25. anonymous
    • one year ago
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    Plus, the standard deviation is also strongly swayed by outliers - it seems as though there might be some in this data set

  26. KitKat16
    • one year ago
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    So this would mean standard deviation is out all together and it would have to be The IQR is the best measurement of spread for games and movies.

  27. anonymous
    • one year ago
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    Which means the standard deviation also would not be as good as the IQR

  28. welshfella
    • one year ago
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    so its A or C?

  29. anonymous
    • one year ago
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    I would say that C is a better answer, mostly because there is no reason to reject the IQR based on the information given

  30. anonymous
    • one year ago
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    They are both skewed data sets, which makes them better candidates for the IQR than standard deviation

  31. anonymous
    • one year ago
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    I suppose you could draw that conclusion about the standard deviation

  32. anonymous
    • one year ago
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    The standard deviation is mostly used in situations that look relatively unskewed

  33. anonymous
    • one year ago
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    *I believe

  34. welshfella
    • one year ago
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    in teresting

  35. anonymous
    • one year ago
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    In the last paragraph, this article makes the same point about skewed data: https://epilab.ich.ucl.ac.uk/coursematerial/statistics/summarising_centre_spread/measures_spread/comparing%20measures%20of%20spread.html And about 60% of the way down on this one http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3198538/

  36. KitKat16
    • one year ago
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    Thanks so much guys! I wish when I got something wrong the teacher would explain why. This stuff is too confusing.

  37. welshfella
    • one year ago
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    https://www.youtube.com/watch?v=2v8T96dnmGk this should help

  38. welshfella
    • one year ago
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    Note that the data is more skewed for the movies than the games.

  39. KitKat16
    • one year ago
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    That was awesome @welshfella still confused on the IQR explanation on being less consistant. will watch some more. Thanks again

  40. welshfella
    • one year ago
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    yw - well if you look at our data the movie data is more consistent than the games data.

  41. welshfella
    • one year ago
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    I'm not convinced that C is the correct answer. But you said you knew it was'nt A?

  42. KitKat16
    • one year ago
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    That would make the answer A even though you could measure both best with the IQR

  43. KitKat16
    • one year ago
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    Thats just what I was thinking

  44. KitKat16
    • one year ago
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    I know but you know sometimes these questions are faulty

  45. welshfella
    • one year ago
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    Yea - I'd love to see what the answer is. Its a long time since I did this stuff thats why I@m so hazy about it.

  46. KitKat16
    • one year ago
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    If I find Out I will let you know and post it here

  47. welshfella
    • one year ago
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    good ty

  48. KitKat16
    • one year ago
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    Thanks so much!

  49. welshfella
    • one year ago
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    yw

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