Choose a quantitative variable. Measure it on two different samples of 10, drawn from two different populations. For example, you might measure the number of cups of chocolate consumed daily by men vs women. Provide a description of the data selected, and the two different populations you chose. Record the data, and for EACH sample, find the mean and standard deviation and the five-number summary. Compare your two samples using boxplots or histograms. Summarize your results in a paragraph, including a description of how you collected your data and your interpretation of the results. Does it appear that the two populations are similar, or different?
SOLUTION
Data
Men | Women |
2 | 1 |
1 | 5 |
6 | 2 |
4 | 4 |
3 | 6 |
2 | 2 |
1 | 1 |
5 | 3 |
4 | 4 |
2 | 2 |
Descriptive Statistics
Men | Women | ||
Mean | 3 | 3 | |
Standard Error | 0.537484 | 0.537484 | |
Median | 2.5 | 2.5 | |
Mode | 2 | 2 | |
Standard Deviation | 1.699673 | 1.699673 | |
Sample Variance | 2.888889 | 2.888889 | |
Kurtosis | -0.83495 | -0.83495 | |
Skewness | 0.509148 | 0.509148 | |
Range | 5 | 5 | |
Minimum | 1 | 1 | |
Maximum | 6 | 6 | |
Sum | 30 | 30 | |
Count | 10 | 10 |
Box plot
From Box plot we can saythat both populations are similar
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