exame review - Exam#1 Review Questions and Solutions...

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Exam #1 Review Questions and Solutions Question #1 (material from sections 3-2, 3-3, and 3-4): Senator Hayes is considering a run for the U.S. presidency, but she is only 35 years of age, which is the minimum required age. While investigating this issue, she finds the ages of past presidents when they were inaugurated, and those ages are listed below. Using the ages listed, find the (a) mean; (b) median; (c) mode; (d) midrange; (e) range; (f) standard deviation; (g) variance; (h) Q 1 ; (i) Q 3 ; ( j) P 10 . The values arranged in order are: 42 43 46 46 47 48 49 49 50 51 51 51 51 51 52 52 54 54 54 54 54 55 55 55 55 56 56 56 57 57 57 57 58 60 61 61 61 62 64 64 65 68 69 a. The mean: 43 2358 = Σ = n x x = 54.8 (see calculator instructions below) b. The median is the middle value when scores are arranged in (ascending or descending) order. For the values above, the median, or x ~ , is 55.0 (see calculator instructions below) c. The mode is the value that occurs most frequently. For the values above, the mode, or M, is 51 and 54 [bi-modal]. d. The midrange is the value midway between the highest and lowest values. For the values above, the midrange is (42 + 69)/2 = 55.5 e. The range is the difference between the highest and lowest values. For the values above, the range is (69-42) = 27.0 f. Use the calculator to find the standard deviation: s = 6.217985559 = 6.2 (see calculator instructions below) g. Square the standard deviation to find the variance: s 2 = 6.217985559 2 = 38.7 (see calculator instructions below) h. , P Q 25 1 = 75 . 10 43 ) 100 25 ( ) 100 ( = = = n k L rounded up to 11. The 11 th value in the list is 51 (see calculator instructions below to check answer)
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This note was uploaded on 04/13/2009 for the course ECON 101 taught by Professor Van-wie during the Fall '08 term at Columbia State Community College.

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exame review - Exam#1 Review Questions and Solutions...

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