A few days ago
AP statistics help?
“A density curve consists of a straight line segment that begins at the origin (0, 0) and has slope 1. Sketch this density curve. What are the coordinates of the right endpoint of the segment? (Note that the right endpoint should be fixed so that the total area under the curve is 1. This is required for a valid density curve.) Determine the median, the first quartile and the third quartile.” Any idea how I would do this? Any help at all would be much appreciated. Thanks.
Top 3 Answers
A few days ago
Favorite Answer
to have a probability density curve you must have a function that when integrated over the defined region equals 1. for a straight line from (0,0) to (√2,√2) satisfies this condition.
the median is found to be the point where 50% of the data is less than the median and 50% is greater. ergo, the integral from 0 to t of xdx solve for t and t is the median.
∫√(x)dx for x = 0 to t = 0.50 t = 1
first quartile is ∫√(x)dx = 0.25 from 0 to t, t = √(2) / 2
third quartile is ∫√(x)dx = 0.75 from 0 to t, t = √(6) / 2
note that the firs quartile is the point where 25% of the data is less than the quartile and the third quartile is the point where 75% of the data is less than the third quartile.
any other question? Send me an email.
Blue Skies!
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4 years ago
AP stat is harder to appreciate however the calculations are effortless and basic AP Calc is effortless to appreciate yet calculations are a lot harder and a lot greater tedious…and you each so often won’t be in a position to even get top solutions alongside with integrating e^(-(x^2))…you ultimately finally end up employing estimations (i’ve got faith it extremely is a million/ sqrt(pi) for the ex I pronounced…possibly thoroughly incorrect on the estimation tho
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A few days ago
that’s what I’m studying right now…i should know this!! Ahhh i better start studying!!!
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