Question 1/ (USE MODE as measurement e.g. Most Typical) The distribution of Marital Status for a random sample of 110 Australian adults is displayed in figure 1. The most typical reported preference was Married (41.82fi), followed by those who have never been Married (38.18fi). Whilst 12.37fi report being divorced, few participants reported Other categories of Marital Status (7.27fi). Marital status 50 40 30 Percent 20 38.18% 41.82% 10 12.73% 7.27% 0 Never married Married Divorced Other Marital status Figure 1: Distribution of Marital Status Valid Never married Married 46 Divorced Marital status Frequency 42 14 7.1 Percent 21.4 23.5 Valid Percent 38.2 41.8 12.7 Cumulative Percent 38.2 80.0 92.7 Other 8 4.1 7.3 100.0 Total 110 56.1 100.0 Missing -1 86 43.9 Total 196 100.0
Question 2/ (USE MEDIAN as measurement if not symmetrically distributed, if symmetric use MEAN) 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 50fi of people in the sample 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 description of outliers can use information from percentiles table e.g. 25fi [or one-quarter] of total expenditure reported was $244.45 or more, with the highest being $665.00. 10fi of total expenditure reported was $311.58 or more, with the highest being $665.00. 5fi 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 0 100 200 300 400 500 600 700 Total Expenditure Figure 2: Distribution of Total Expenditure.
Additional Output: Descriptives Statistic Total Expenditure Mean 207.32 95% Confidence Interval for Mean Lower Bound 179.73 Upper Bound 234.90 5% Trimmed Mean 189.63 Median 185.00 Variance Std. Deviation 15763.602 125.553 Minimum 72 Maximum 665 Range 593 Interquartile Range 111 Skewness Std. Error 13.865 2.360 .266 Kurtosis 6.498 .526 Weighted Average (Definition 1) Tukey's Hinges Percentiles 5 10 Percentiles 25 50 Total Expenditure 80.98 94.50 133.75 185.00 Total Expenditure 135.00 185.00 Total Expenditure 100 200 75 90 95 244.45 311.58 616.45 239.70 119 * 118 117120 300 400 500 600 700