Topic 4: Distribution of student heights
A joint distribution of this data is bimodal, clearly separating into two subsets for females and males.
With one observation omitted as an outlier (92 inches for a female student), a subset of female heights was analysed and it was demonstrated that a normal approximation is a good fit to the histogram.
From the ‘Downloads‘ section in Step 2.13, download the zip folder and upload the .csv file dataset, into RStudio to analyse and answer the following questions:
- Plot a joint histogram of heights and check the normal approximation.
- Repeat the analysis for the subset of male heights: construct a histogram, impose a normal approximation and check the accuracy of the Empirical Rule.
- How could you combine the normal approximation for the marginal datasets (i.e for females and males)? Suggest a reasonable smooth approximation for the joint dataset and illustrate it graphically.
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