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# ch%209%28a%29%20lec - Chapter 9a (+ Supplemental...

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Unformatted text preview: Chapter 9a (+ Supplemental Information) Statistics n Frequency Distributions n Measures of Central Tendency n Measures of Variation n Measures of Relative Standing and Boxplots x σ μ % B. Potter – ECO 3401 1 Frequency Distribution v Shows how a data set is distributed among different values B. Potter -ECO 3401 Years of College Years of College Frequency 35 1 21 2 24 3 22 4 31 5 13 6 6 7 5 8 3 Total 160 B. Potter -ECO 3401 Years of College Years of College Relative Frequency 21.9% 1 13.1% 2 15.0% 3 13.8% 4 19.4% 5 8.1% 6 3.8% 7 3.1% 8 1.9% Total 100% B. Potter -ECO 3401 Years of College Years of College Cumulative Frequency Less than 1 35 Less than 2 56 Less than 3 80 Less than 4 102 Less than 5 133 Less than 6 146 Less than 7 152 Less than 8 157 Less than 9 160 B. Potter -ECO 3401 Frequency Distribution v Shows how a data set is distributed among different values v Sometimes it’s more efficient to group data into “classes” B. Potter -ECO 3401 Pulse Rates of Females and Males Original Data Constructing a Frequency Distribution 1. Determine the number of classes (should be between 5 and 20). B. Potter -ECO 3401 Sturges’s Rule : Classes = 1 + 3.322[log( n )] (Round up) where: n = Number of data values Pulse Rates of Females and Males Original Data Classes = 1 + 3.322[log(40)] = 6.32 Round up to 7 n = 40 B. Potter -ECO 3401 Constructing a Frequency Distribution 1. Determine the number of classes (should be between 5 and 20). 2. Calculate the class width (round up). B. Potter -ECO 3401 class width (maximum value) – (minimum value) number of classes Pulse Rates of Females and Males Original Data class width (maximum value) – (minimum value) number of classes B. Potter -ECO 3401 Pulse Rates of Females and Males Original Data class width 124 – 60 7 = 9.14 10 B. Potter -ECO 3401 Constructing a Frequency Distribution 1. Determine the number of classes (should be between 5 and 20). 2. Calculate the class width (round up). 3. Starting point: Choose the minimum data value or a convenient value below it as the first lower class limit. B. Potter -ECO 3401 Pulse Rates of Females and Males Original Data B. Potter -ECO 3401 Constructing a Frequency Distribution 1. Determine the number of classes (should be between 5 and 20)....
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## This note was uploaded on 01/12/2012 for the course ECO 3401 taught by Professor Staff during the Fall '08 term at University of Central Florida.

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ch%209%28a%29%20lec - Chapter 9a (+ Supplemental...

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