Homework-Ch-02-key - (Above d[4 p Draw an Ogive for this...

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1 Chapter 2 Homework key 09/06/11 [Over 24 points] 201. [Chapter 2; 24 points] (Definitions) a) [4 p.] Define the terms “frequency” and “relative frequency” as they pertain to a data set “Frequency” simply refers to a count of the number of entities tha t gave the same answer to a question, or who fall into the same category. (Drive the same car, fall into the same income bracket.) “Relative frequency” refers to the fraction or % that a frequency makes out of the whole number of observations in the data set. b) [4 p.] Using the following data set, calculate relative frequencies for each category: Age Count b: rel.freq. c: cum.rel.freq. ----- -------- ------------- ------------------ 21 23 10 10/50=0.20 0.20 24 26 14 14/50=0.28 0.2+0.28=0.48 27 29 17 17/50=0.34 0.48+0.34=0.82 30 32 7 7/50=0.14 0.82+0.14=0.96 33 35 2 2/50=0.04 0.96+0.04=1.00 -------- n=50
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Unformatted text preview: (Above) d) [4 p.] Draw an Ogive for this data set. Use a separate sheet (at end). An Ogive is a graph of cumulative frequency or cumulative relative frequency. It rises from zero to n (or to 1.00). 2 e) [4 p.] Draw a Pareto diagram for this data set. Use a separate sheet (at end). A Pareto diagram is a bar graph or histogram where the bars are sorted from tallest to smallest, starting with the tallest to the left. Be sure to label the bars correctly! f) [4 p.] Draw a pie chart for this data set. Use a separate sheet (at end). Each slice of the pie should cover an angle that is proportional to the relative frequency of each category. So since the category “age 21-23” has a relative frequency of 0.2, it should be depicted with a pie slice that covers 0.2*360 degrees, or 72 degrees (1/5 of the circle.)...
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