Methods of Research – Descriptive Statistics Assignment
Political Science

Tutor: None Selected  Time limit: 1 Day 

Mean 
Standard Deviation 
Men 
10.3 
7.8 
Women 
11.9 
8.2 
a. Interpret the statistics, making sure to compare and contrast the two groups.
b. Which group is higher? Can we be sure? Explain.
Hi Bodine, thank you for the opportunity to help you with your question!
a. For two groups, 'men' and 'women', we are provided the mean value of a certain measure, say X, and its standard deviation. Women show a higher mean value of X than men and also a greater deviation (or dispersion) around the mean value.
b. Although it might appear that given the data, women have higher value of X than men, we cannot be completely sure if that is the case. Certainty, in statistical terms, implies performing tests e.g. a 2 samples ttest which examines the hypothesis that the mean value of X is significantly different for men compared to women.
In order to be absolutely certain, one would need to know all the values of X for the two groups and then perform a 2 samples ttest and check for the pvalue. If p < 0.05, then we can be confident in saying that the mean values of X are indeed statistically different for men vs. women.
I hope this helps. Feel free to ask me any further questions.
Cheers.
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