anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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.
anonymous
  • anonymous
anonymous
  • anonymous
@mathmate

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anonymous
  • anonymous
@DanJS
anonymous
  • anonymous
1 think its either A or C.
anonymous
  • anonymous
still working it out? @mathmate
mathmate
  • mathmate
@bloofoffiction Have you done all the common measures of spread, including Range, IQR, absolute deviation, variance and standard deviation?
anonymous
  • anonymous
1've doen the IQR
mathmate
  • mathmate
and the range and standard deviation?
anonymous
  • anonymous
what do you mean by range?
mathmate
  • mathmate
The question compares IQR and the standard deviation, so it is evident that it's part of your course!
anonymous
  • anonymous
you can't actually calculate anything because there is no data chart
mathmate
  • mathmate
range is the difference between the largest and the smallest values.
mathmate
  • mathmate
This question is a qualitative one, so no calculator required. Its checks the understanding of the applicability of each measure, not actually calculating it.
anonymous
  • anonymous
theres no actual number 1 can guess
mathmate
  • mathmate
In each box and whisker plot, you see the five values in each, right? (the minimum, Q1, Q2(median), Q3 and the maximum).
anonymous
  • anonymous
yes
mathmate
  • mathmate
Do you know the significance/meaning of these values?
anonymous
  • anonymous
yes
mathmate
  • mathmate
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?
anonymous
  • anonymous
yes
mathmate
  • mathmate
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?
anonymous
  • anonymous
outliers
mathmate
  • mathmate
exactly! Is the IQR affected by the outliers?
anonymous
  • anonymous
yes
mathmate
  • mathmate
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mathmate
  • mathmate
From the diagrams of both cases with or without outliers, we see that the IQR is hardly affected, if any, right?
anonymous
  • anonymous
yes
anonymous
  • anonymous
so if there are outliers IQR should be used and if there aren't standard deviation should be?
mathmate
  • mathmate
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.
anonymous
  • anonymous
so it should be C?
mathmate
  • mathmate
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.
anonymous
  • anonymous
The IQR is the best measurement of spread for games and movies.
mathmate
  • mathmate
I agree!
anonymous
  • anonymous
can you help with one more?
mathmate
  • mathmate
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!
anonymous
  • anonymous
okay thanks!
mathmate
  • mathmate
You're welcome! :)

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