anonymous
  • anonymous
Which data set has the greatest spread for the middle 50% of its data? {18, 13, 22, 17, 21, 24} {17, 19, 22, 26, 17, 14} {13, 17, 12, 21, 18, 20} {18, 21, 16, 22, 24, 15}
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!
tkhunny
  • tkhunny
You should find the middle 50% of the data for each set.
anonymous
  • anonymous
I figured that much on my own, why is the middle 50% though?
anonymous
  • anonymous
*what

Looking for something else?

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

More answers

tkhunny
  • tkhunny
There are 6 items in each set. 50% of 6 is 3. Order the sets and pick the middle 3.
anonymous
  • anonymous
13,17,18,21,22,24 14,17,17,19, 22,26 12,13,17,18,20,21 15,16,18, 21,22,24
tkhunny
  • tkhunny
Nicely ordered. Now pick the middle three from each.
anonymous
  • anonymous
they each have 6 numbers, there isn't a middle three, two of them are in the middle
anonymous
  • anonymous
@nincompoop
anonymous
  • anonymous
@Hero
tkhunny
  • tkhunny
Well, you must decide if you will take 2 or 4. Which actually contains the middle 50%? It is a common problem with small datasets.
anonymous
  • anonymous
so the middles would be 18, 21 17,19 17,18 and 18, 21
tkhunny
  • tkhunny
That does not contain 50%.
anonymous
  • anonymous
huh?
tkhunny
  • tkhunny
You must use AT LEAST 50% of the data. Picking the middle 2 is only 1/3 of the data. You'll have to go up to 2/3.
anonymous
  • anonymous
okay so the middle two are 21,22 19,22 18,20 and 21,22
tkhunny
  • tkhunny
... and that is not helpful because you are examining only the middle 1/3. You need 1/2 AT LEAST.
anonymous
  • anonymous
shouty capitals are not helpful, so what you mean is I need at least half of those numbers to examine?
tkhunny
  • tkhunny
It's not shouty. It's just emphasis. Perhaps a different approach. Can you find the median of each dataset?
anonymous
  • anonymous
that I can do
tkhunny
  • tkhunny
Do you get 21.5, 20, 19, and 21.5?
anonymous
  • anonymous
yes
tkhunny
  • tkhunny
Okay, how about the medians of the two subsets created by those medians? In other words, given {18, 13, 22, 17, 21, 24} Sorted: 13, 17,18, 21, 22, 24 Median: 19.5 Left subset: 13 17 18 ==> Median 17 Right subset 21 22 24 ==> Median 22 Make any sense?
anonymous
  • anonymous
makes sense
tkhunny
  • tkhunny
Well, what we have just created is this list: 25th percentile = 17 50th percentile = 19.5 = Median 75th percentile = 22 Comparing the 75th to the 25th creates the "Interquartile Range". Notice how 75% - 25% = 50%. Thus, it is possible that the "middle 50% of the data" simply means the interquartile range. 22 - 17 = 5 Is this greater than or less than the interquartile range of the other sets?
anonymous
  • anonymous
greater than
tkhunny
  • tkhunny
I believe you, but I have not calculated them. The difficulty is what is meant by "middle 50% of the data". Originally, I was interpreting that literally and it was confusing. When I decided it might just mean the Interquartile Range, we had something that could be understood and solved.
anonymous
  • anonymous
so which set has the greatest spread
tkhunny
  • tkhunny
You tell me. Which has the greatest interquartile range? I did the first set.
anonymous
  • anonymous
I think its b

Looking for something else?

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