hw1 - STAT 350 Spring 2009 Homework #1 Solution covers...

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STAT 350 – Spring 2009 Homework #1 Solution covers through Lecture A I expect problems to be submitted in order, including graphs or figures (if applicable). Homework must always be stapled if it is longer than one page. If it is not stapled, only the first page will be graded. The first page of each homework set handed in must contain the following information: (1) Your Name (2) My Name (Dr. Knapp) (3) STAT 350 and your section time (10:30 / 11:30 / 4:30) (4) The number of the homework assignment ( e.g. , Homework #1) Answers with no supporting work will receive zero credit! 1. Use the following set of number to answer the questions below 48.3 34.2 51.8 22.1 107.7 34.9 15.6 8.1 35.3 7.7 76.0 43.9 3.9 84.5 40.7 72.0 97.4 22.5 Ordered data set: 3.9 7.7 8.1 15.6 22.1 22.5 34.2 34.9 35.3 40.7 43.9 48.3 51.8 52.6 64.8 72.0 76.0 84.5 97.4 107.7 Note: n = 20 a. Find i i x = 3.9 + 7.7 + 8.1 + . . . +97.4 + 107.7 = 924 b. Find 2 i i x = 3.9 2 + 7.7 2 + 8.1 2 + . . . +97.4 2 + 107.7 2 = 59763.80 c. Find SS xx 2 924 59763.8 20 =− = 17075 d. Find x =924/20 = 46.2 e. Find the variance of this data set = 17075/(20-1) = 898.6842 f. Find the standard deviation of this data set 17075 20 1 = = 29.9781 Homework #1 - Solution Page 1 of 5
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g. Give the 5-number summary for this data set The 5 number summary is the smallest value – LQ – Median – UQ – largest value The Median is the average of the 10th and 11th values: 40.7 43.9 2 + = 42.3 The lower quartile (LQ) is the median of the smallest 10 values, so the average of the 5th and 6th values: 22.1 22.5 2 + = 22.3
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hw1 - STAT 350 Spring 2009 Homework #1 Solution covers...

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