Please help!
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- anonymous

Please help!
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- chestercat

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- anonymous

The box plots below show attendance at a local movie theater and high school basketball games:
two box plots shown. The top one is labeled Movies. Minimum at 60, Q1 at 65, median at 95, Q3 at 125, maximum at 150. The bottom box plot is labeled Basketball games. Minimum at 90, Q1 at 95, median at 125, Q3 at 145, maximum at 150.
Which of the following best describes how to measure the spread of the data?
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

##### 1 Attachment

- anonymous

The box plots ^-^

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## More answers

- anonymous

Answer a and b: Assuming the answer means "for these two data sets, " not for movie attendance and basketball attendance in general, which would make them ridiculous answers, compare the IQR density of both: For movies, 100% of the data is distributed over a range of 90 so there is about 1.1% of the data on average over each value. The IQR of 60 contains 50% of the data, so each value accounts for 50%/60 or .83% of the data. These are fairly close.
For basketball, the figures are 100%/60 = 1.67% and 50%/50, or 1%. The overall density is almost twice as great as the IQR density.
So the IQR for movies is a better measure, because the central density and the density of the outer quarters are similar. (This does not mean that the range density is a more reliable figure. It isn't. But if the IQR and range nearly match, you can say the IQR is a better indication of the overall data distribution, than if they don't.)
To choose between c and d, the same as the choice between a and b in the first problem: In theory, the standard deviation is better, but you don't have it. The IQR is all you have. So again, it comes down to whether the answer refers to the data sets given, or all data sets of movies and basketball games. Notice that the wording is slightly different from question 8, which specifically refers to the data sets. The answers c and d here refer to movies and basketball games.
So it is possible that d could be correct here, as a matter of theory, while a could be the correct answer to 8, as a matter of practice.
Unless your instructor has gone over this difference between theory and practice and said something like, "Of course, if you don't have all the data, just the IQR, then the IQR is better," these are very poorly worded questions. I'm sorry I can't be of more help. Since you know the class context, maybe you can choose among these alternatives. I really can't.

- pooja195

Thats not correct

- anonymous

The answer is a and b

- pooja195

Nvm thats correct so yes it would be A and B although you should have let the user work for their answer.
one year ago
IQR = interquartile range
Read this:
https://onlinecourses.science.psu.edu/stat100/node/12
IQR is better for movies and std. deviation is better for basketball (as the spread for basketball is not max in the middle and std. deviation considers all points from the set unlike IQR )
Therefore it would be A @enchanted_bubbles how many can you choose?

- anonymous

Just 1 answer.

- ytrewqmiswi

pooja

- anonymous

So the answer is A

- ytrewqmiswi

wait poojs is typing

- ytrewqmiswi

*pooja

- pooja195

\(\color{#0cbb34}{\text{Originally Posted by}}\) @pooja195
Nvm thats correct so yes it would be A and B although you should have let the user work for their answer.
one year ago
IQR = interquartile range
Read this:
https://onlinecourses.science.psu.edu/stat100/node/12
IQR is better for movies and std. deviation is better for basketball (as the spread for basketball is not max in the middle and std. deviation considers all points from the set unlike IQR )
Therefore it would be A @enchanted_bubbles how many can you choose?
\(\color{#0cbb34}{\text{End of Quote}}\)
That is why

- anonymous

Okay thank you guys :]

- ytrewqmiswi

helpful link - https://answers.yahoo.com/question/index?qid=20140226103524AAfq52U#

- pooja195

With this said i would go with A
http://inquus.org/updates/52dd436ce4b05a53debd8a2b

- Michele_Laino

I'm very sorry, I'm not good with quartile

- ytrewqmiswi

^ same here :)

- ytrewqmiswi

this is such a boring topic

- pooja195

Well neither have I :/ but everything we've looked up points at A so i would say go with A :)

- ytrewqmiswi

ask anything except such things :) i'll definately help :)

- anonymous

OK thank you guys i am going to see if its correct soon :]

- pooja195

i hope it is let me know please! :)

- ytrewqmiswi

:D the result is goin to come!!!

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