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Descriptive Statistics and SPSS Procedures

Practice Assignment Part 1 - Solutions Note that this document contains information pertaining to the SPSS procedures only. Q1 - Descriptive information for Categorical Variable [Marital Status] The distribution of Marital Status for a random sample of 110 Australian adults is displayed in Figure 1. The most common Marital Status was Married [41.8%] followed by those who have never been married [38.2%]. Whilst 12.7% reported being divorced, few participants reported other categories of Marital Status. Marital status 50 40 30 Percent 20 38.2% 41.8% 10 12.7% 7.3% 0 Never married Married Divorced Marital status Figure 1: Distribution of Marital Status Other Note: The word 'majority' cannot be used as the most common response was less than 50%. Marital status Frequency Percent Valid Percent Valid Never married 42 21.4 Married 46 23.5 41.8 80.0 Divorced 14 7.1 Other 8 4.1 Total 110 Missing -1 86 Total 196 100.0 56.1 43.9 38.2 12.7 92.7 7.3 100.0 Cumulative Percent 38.2 100.0 Page 1 of 3 Practice Assignment Part 1 - Solutions Note that this document contains information pertaining to the SPSS procedures only. Q2 - Descriptive information for Metric Variable [Total Expenditure] The distribution of Total Expenditure per week for a random sample of 82 Australian adults is displayed in Figure 2. The distribution is positively skewed with 50% of expenditure being $185.00 or less. Typically, expenditure was between $133.75 and $244.45 with half of the total expenditure per week falling within this range. There were some extremely high amounts of total weekly expenditure of over $650, with the highest being $665.00. Note: For the description of outliers, you could also use information from the percentiles table. For example: 25% [or one-quarter] of total expenditure reported was $244.45 or more, with the highest being $665.00. 10% of total expenditure reported was $311.58 or more, with the highest being $665.00. 5% o of total expenditure reported was $616.45 or more, with the highest being $665.00. Histogram 25 Mean = 207.32 Std. Dev. = 125.553 N = 82 20 15 Frequency 10 5 0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 Total Expenditure Figure 2: Distribution of Total Expenditure Page 2 of 3 ---- Practice Assignment Part 1 - Solutions Note that this document contains information pertaining to the SPSS procedures only. Additional output: Descriptives Total Expenditure Mean 95% Confidence Interva Lower Bound 179.73 for Mean Upper Bound 234.90 5% Trimmed Mean 189.63 Median 185.00 Variance 15763.602 Std. Deviation 125.553 72 Minimum Statistic Std. Error 207.32 13.865 Maximum 665 Range 593 Interquartile Range 111 Skewness 2.360 .266 Kurtosis 6.498 .526 Percentiles 5 10 Percentiles 25 50 75 Weighted Average (Definition 1) Total Expenditure 80.98 94.50 90 95 133.75 185.00 244.45 311.58 616.45 Tukey's Hinges Total Expenditure 135.00 185.00 239.70 Total Expenditure 0 100 200 300 119 118 117 120 400 500 ---- 600 700 Page 3 of 3