KitKat16
  • KitKat16
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?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
KitKat16
  • KitKat16
1 Attachment
KitKat16
  • KitKat16
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
KitKat16
  • KitKat16
I think it is B because it has a bigger spread.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
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.
Nurali
  • Nurali
i think The standard deviation is the best measurement of spread for games and movies.
KitKat16
  • KitKat16
So IQR? Is that called a H- spread? What is the H do you know?
anonymous
  • anonymous
@Nurali How would we know this without knowing the mean or standard deviation?
anonymous
  • anonymous
@KitKat16 H-spread is the same as the IQR, but I'm not sure what it stands for. Let me hunt a little.
anonymous
  • anonymous
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"
KitKat16
  • KitKat16
Oh thank you Ive been trying to figure that out
KitKat16
  • KitKat16
So in order to know this answer we would need to know mean or standard deviation?
KitKat16
  • KitKat16
@Nurali I know that D is wrong
KitKat16
  • KitKat16
So I thought it had to be : The standard deviation is a better measure of spread for movies than it is for basketball games
KitKat16
  • KitKat16
@ganeshie8 can you look at this for me please?
anonymous
  • anonymous
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).
welshfella
  • welshfella
Is the width of the box indicative of smaller standard deviation. (I never did these before so i'm no expert!) Just a thought
KitKat16
  • KitKat16
I thought the box was to show the quadrants
welshfella
  • welshfella
Do the 2 ends of the box give the upper and lower quartiles?
welshfella
  • welshfella
- if so then the IQR for movies is less that that for games.
KitKat16
  • KitKat16
spacings between the different parts of the box indicate the degree of dispersion (spread) and skewness in the data, and show outliers.
welshfella
  • welshfella
so maybe A?
anonymous
  • anonymous
@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
welshfella
  • welshfella
the line in the box is the median right?
anonymous
  • anonymous
Correct
anonymous
  • anonymous
Plus, the standard deviation is also strongly swayed by outliers - it seems as though there might be some in this data set
KitKat16
  • KitKat16
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.
anonymous
  • anonymous
Which means the standard deviation also would not be as good as the IQR
welshfella
  • welshfella
so its A or C?
anonymous
  • anonymous
I would say that C is a better answer, mostly because there is no reason to reject the IQR based on the information given
anonymous
  • anonymous
They are both skewed data sets, which makes them better candidates for the IQR than standard deviation
anonymous
  • anonymous
I suppose you could draw that conclusion about the standard deviation
anonymous
  • anonymous
The standard deviation is mostly used in situations that look relatively unskewed
anonymous
  • anonymous
*I believe
welshfella
  • welshfella
in teresting
anonymous
  • anonymous
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/
KitKat16
  • KitKat16
Thanks so much guys! I wish when I got something wrong the teacher would explain why. This stuff is too confusing.
welshfella
  • welshfella
https://www.youtube.com/watch?v=2v8T96dnmGk this should help
welshfella
  • welshfella
Note that the data is more skewed for the movies than the games.
KitKat16
  • KitKat16
That was awesome @welshfella still confused on the IQR explanation on being less consistant. will watch some more. Thanks again
welshfella
  • welshfella
yw - well if you look at our data the movie data is more consistent than the games data.
welshfella
  • welshfella
I'm not convinced that C is the correct answer. But you said you knew it was'nt A?
KitKat16
  • KitKat16
That would make the answer A even though you could measure both best with the IQR
KitKat16
  • KitKat16
Thats just what I was thinking
KitKat16
  • KitKat16
I know but you know sometimes these questions are faulty
welshfella
  • welshfella
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.
KitKat16
  • KitKat16
If I find Out I will let you know and post it here
welshfella
  • welshfella
good ty
KitKat16
  • KitKat16
Thanks so much!
welshfella
  • welshfella
yw

Looking for something else?

Not the answer you are looking for? Search for more explanations.