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anonymous

  • one year ago

Will give medal. The box plots 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. anonymous
    • one year ago
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    The IQR is a better measure of spread for movies than it is for basketball games. The standard deviation is a better measure of spread for movies than it is for basketball games. The IQR is the best measurement of spread for games and movies. The standard deviation is the best measurement of spread for games and movies.

  2. anonymous
    • one year ago
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  3. anonymous
    • one year ago
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    @mathmate

  4. anonymous
    • one year ago
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    @DanJS

  5. anonymous
    • one year ago
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    1 think its either A or C.

  6. anonymous
    • one year ago
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    still working it out? @mathmate

  7. mathmate
    • one year ago
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    @bloofoffiction Have you done all the common measures of spread, including Range, IQR, absolute deviation, variance and standard deviation?

  8. anonymous
    • one year ago
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    1've doen the IQR

  9. mathmate
    • one year ago
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    and the range and standard deviation?

  10. anonymous
    • one year ago
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    what do you mean by range?

  11. mathmate
    • one year ago
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    The question compares IQR and the standard deviation, so it is evident that it's part of your course!

  12. anonymous
    • one year ago
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    you can't actually calculate anything because there is no data chart

  13. mathmate
    • one year ago
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    range is the difference between the largest and the smallest values.

  14. mathmate
    • one year ago
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    This question is a qualitative one, so no calculator required. Its checks the understanding of the applicability of each measure, not actually calculating it.

  15. anonymous
    • one year ago
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    theres no actual number 1 can guess

  16. mathmate
    • one year ago
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    In each box and whisker plot, you see the five values in each, right? (the minimum, Q1, Q2(median), Q3 and the maximum).

  17. anonymous
    • one year ago
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    yes

  18. mathmate
    • one year ago
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    Do you know the significance/meaning of these values?

  19. anonymous
    • one year ago
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    yes

  20. mathmate
    • one year ago
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    So these values divide the dataset into 4 equal parts, right? If there are 100 observations in the dataset, the number of observations between each sequential values contains 25 observations, ok so far?

  21. anonymous
    • one year ago
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    yes

  22. mathmate
    • one year ago
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    Can you tell me the possible reasons why the maximum for movies is so far to the right, or why the minimum for basketball is so far to the left?

  23. anonymous
    • one year ago
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    outliers

  24. mathmate
    • one year ago
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    exactly! Is the IQR affected by the outliers?

  25. anonymous
    • one year ago
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    yes

  26. mathmate
    • one year ago
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    |dw:1435774481502:dw|

  27. mathmate
    • one year ago
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    From the diagrams of both cases with or without outliers, we see that the IQR is hardly affected, if any, right?

  28. anonymous
    • one year ago
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    yes

  29. anonymous
    • one year ago
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    so if there are outliers IQR should be used and if there aren't standard deviation should be?

  30. mathmate
    • one year ago
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    Yes, more or less. We will also give some kind words for standard deviation! Standard deviation takes into account of ALL data points in the dataset. The only problem is that standard deviation squares the difference between data values and the mean, so it is highly affected by outliers. It is a much better measure for a properly distributed dataset.

  31. anonymous
    • one year ago
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    so it should be C?

  32. mathmate
    • one year ago
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    I do not know what C says. But if you consider the datasets, there is a possibility that we are dealing with outliers (although we cannot be sure). In such cases, I would recommend the IQR. For more detailed discussions, I suggest you do some interesting reading such as the following: https://statistics.laerd.com/statistical-guides/measures-of-spread-absolute-deviation-variance.php Btw, if you repeat what your suggested answer is (not just the letter, but the value of the answer), I will be glad to confirm it.

  33. anonymous
    • one year ago
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    The IQR is the best measurement of spread for games and movies.

  34. mathmate
    • one year ago
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    I agree!

  35. anonymous
    • one year ago
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    can you help with one more?

  36. mathmate
    • one year ago
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    I'm sorry, I have the next appointment. But if you post your question, and it's not answered when I finish, I'll be there! Nice working with you!

  37. anonymous
    • one year ago
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    okay thanks!

  38. mathmate
    • one year ago
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    You're welcome! :)

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