STAT PRACTICE ASSIGNMENT 1 - STA10003 Question 1 Marital status Cumulative Frequency Percent Valid Percent Percent Valid Never married 42 Married 46 Divorced 14 21.4 38.2 23.5 41.8 7.1 12.7 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 Figure 1a: frequency table for martial status The distribution of "Most common martial status" is shown in Figure 1b. In this sample of 110 randomly selected Australian adults, 41.8% reported that they are "married". A similar percentage of people have the martial status of "never married" (38.2%), followed by "divorced" with 12.7%. Very few of respondents answered "other" (7.3%). 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 1b: Distribution of most common martial status
Question 2 Histogram -Normal 25 Mean = 207.32 Std. Dev. = 125.553 N = 82 20 15 Frequency 10 20 12 5 10 6 0 0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 Total Expenditure Figure 2a: Distribution of total expenditure The distribution of total expenditure of 82 randomly selected Australian adults is displayed in Figure 2a. The distribution is positively skewed with 50% of total expenditure being $185.00 or less. Typically, the total expenditure were between $133.75 and $244.45, with half of the total expenditure falling within this range. Some respondents reported exceptionally high spending of over $600, with the highest amount of $665 spent. Additional outputs: Descriptives Statistic 207.32 Std. Error Total Expenditure Mean 95% Confidence Interval for Mean Upper Bound 234.90 Lower Bound 179.73 13.865 5% Trimmed Mean 189.63 Median 185.00 Variance 15763.602 Std. Deviation 125.553 Minimum 72 Maximum 665 Range 593 Interquartile Range 111 Skewness 2.360 .266 Kurtosis 6.498 .526
Percentiles Percentiles Weighted Average (Definition 1) Tukey's Hinges Total Expenditure Total Expenditure Total Expenditure 5 10 80.98 94.50 0 200 25 133.75 135.00 50 185.00 185.00 75 244.45 239.70 90 311.58 95 616.45 119 118 117120 400 600