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Notes4%20Spring%2009

Notes4%20Spring%2009 - Stat 201 Notes 4 Descriptive...

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Stat 201 Notes 4: Descriptive Statistics Text Sections 2.1, 2.2 (skip ‘Ogive’), 3.1 – 3.4, 3.6 (skip ‘Grouped Data’) Example: Customer Survey Data A local clothing store is interested in knowing more about the type of customers that it is currently attracting. To gather information, questionnaires are mailed to a random sample of the store's charge account holders. (To encourage a high response rate, customers who return the questionnaire receive a \$5 gift certificate.) To illustrate the results, a partial listing for the first ten survey respondents and for four selected questions is as follows: Respondent # Sex Education Level Income (\$1k) Annual Clothing Budget (\$1k) 1 Female Grad School 43 1.8 2 Male College 45 .8 3 Female College 44 2.1 4 Female HS 49 .7 5 Male HS 39 3.1 6 Female Grad School 62 2.4 7 Male College 51 1.1 8 Male College 38 2.1 9 Female HS 51 2.4 10 Male Grad School 52 1.9 What kinds of data appear on the table? Notes 4. 1 / 26

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Edcuation Level Breakdown 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 HS College Grad School Education Level Breakdown 40% 30% 30% HS College Grad School Summarizing results for the ‘Education Level’ Variable (a qualitative variable) Education Level Frequency Relative Frequency Percentage HS 3 0.30 30% College 4 0.40 40% Grad School 3 0.30 30% Bar (Column) Graph done in Excel (Select data, choose Insert > Column) Pie Chart done in Excel (Select data, choose Insert > Pie) Notes 4. 2 / 26
96 84 72 60 48 36 24 Exam Dotplot of Exam Descriptive Statistics for Quantitative Data Example Data: Exam scores 19 71 75 78 79 81 83 85 90 94 37 71 75 78 79 81 83 86 90 94 37 71 75 78 80 81 83 86 90 95 38 72 76 78 80 81 84 87 91 95 44 72 76 78 80 82 84 88 91 96 51 73 76 78 80 82 84 88 91 97 64 73 77 78 81 82 85 88 92 99 67 73 77 79 81 82 85 88 92 99 70 73 78 79 81 82 85 89 93 100 71 75 78 79 81 82 85 90 93 100 Dotplot (Minitab): Graph > Dotplot > One Y Simple Notes 4. 3 / 26

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Summarize via a frequency distribution Cumulati ve Cumulativ e Relative Relative Bin Frequency Frequency
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