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anonymous
 one year ago
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}
anonymous
 one year ago
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}

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tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1You should find the middle 50% of the data for each set.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I figured that much on my own, why is the middle 50% though?

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1There are 6 items in each set. 50% of 6 is 3. Order the sets and pick the middle 3.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.013,17,18,21,22,24 14,17,17,19, 22,26 12,13,17,18,20,21 15,16,18, 21,22,24

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1Nicely ordered. Now pick the middle three from each.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0they each have 6 numbers, there isn't a middle three, two of them are in the middle

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1Well, 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
 one year ago
Best ResponseYou've already chosen the best response.0so the middles would be 18, 21 17,19 17,18 and 18, 21

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1That does not contain 50%.

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1You 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
 one year ago
Best ResponseYou've already chosen the best response.0okay so the middle two are 21,22 19,22 18,20 and 21,22

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1... and that is not helpful because you are examining only the middle 1/3. You need 1/2 AT LEAST.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0shouty capitals are not helpful, so what you mean is I need at least half of those numbers to examine?

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1It's not shouty. It's just emphasis. Perhaps a different approach. Can you find the median of each dataset?

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1Do you get 21.5, 20, 19, and 21.5?

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1Okay, 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?

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1Well, 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?

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1I 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
 one year ago
Best ResponseYou've already chosen the best response.0so which set has the greatest spread

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1You tell me. Which has the greatest interquartile range? I did the first set.
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