3-4 example6 - Student Grady Simonton Instructor Shawn...

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Unformatted text preview: Student: Grady Simonton Instructor: Shawn Parvini Date: 2/18/10 Course: Mathll9: Elementary Statistics - Spring 2010 - CRN: 49239 - 16 weeks Book: Triola: Elementary Statistics, lle Time: 1:57 PM Below are 36 sorted ages of an acting award winner. Find P40 using the method presented in the textbook. 19 21 21 21 23 24 28 32 32 35 37 37 37 42 43 43 45 48 49 52 53 54 55 56 57 57 57 59 59 63 71 71 72 78 78 79 The first step in converting from a percentile to the corresponding data value is to arrange the data in order of lowest to highest. The given data is already sorted, so we can proceed to the next step. k Next compute L = [E] - n where n is the total number of values in the data set and k is the percentile being used. L is a locator that gives the position of a value. (For example, for the 12th value in the sorted list, L = 12.) To compute L, first determine the values of n and k. n = total number of values in the data set = 36 k = percentile being used = 40 [film — 4 36—144 100 ' Find L. L: Now the process differs depending on whether or not L is a whole number. Since L = 14.4 is not a whole number, the next step is to change L by rounding it up to the next larger whole number. Find the new value of L. L=15 The value of P40 is the 15th value, counting fi‘om the lowest. Thus, P40 = 43. Page 1 ...
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