query assignment 17

course Mth 152

For some reason this section only gave me one question which I answered. Then it did not show any more questions, only answers!? Let me know if and what I need to redo. Thanks.

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assignment #017

017. `query 17

Liberal Arts Mathematics II

04-27-2007

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11:54:12

`questionNumber 170000

**** query problem 13.4.12 z score for KG's rebounds (.4 from bottom range 10-13)

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z=921-892.8/107.81=28.2/107.81(st.dev.)=.262 approx.

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11:56:34

`questionNumber 170000

query problem 13.4.30 midquartile same as median? (Q1+Q3)/2

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ok. but for some reason the computer did not give me the question only the answer

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11:57:08

`questionNumber 170000

** If the median is the actual number in the middle, the it's not necessarily equal to the mean of the first and third quartile. There are different ways to see this.

For example suppose that in a large set of numbers, the median number is at least 2 greater than the next smaller number and 2 smaller than the next greater number. Then if all the other numbers stay the same, but the median is increased or decreased by 1, it's still in the middle, so it's still the median. Since all the other numbers stay the same, the first and third quartiles are the same as before, so (Q1 + Q3) / 2 is still the same as before. However the median has changed. So if the median was equal to (Q1 + Q3) / 2, it isn't any more. And if it is now, it wasn't before. In either case we see that the median is not necessarliy equal to the midquartile.

To be even more specific, the median of the set {1, 3, 5, 7, 9, 11, 13} is 7. The median of the set {1, 3, 5, 8, 9, 11, 13} is 8. The midquartile of both sets is the same, so for at least one of the two sets (namely the second, as you can verify for yourself) the median and the midquartile are different. **

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ok"

You're in good shape here.