Question

Group Project: Collect the shoe size of everyone in the class. Use the sample means and variances and the types of plots presented in this chapter to summarize any features that draw a distinction between the distributions of shoe sizes for males and females. Do the same for the height of everyone in the class.

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SHOE SIZE

Determine the shoe size of everyone in the class and record for every shoe size if it belongs to a male or a female.

nn is the number of values in the data set.

The mean is the sum of all values divided by the number of values:

x=xin\overline{x}=\dfrac{\sum x_i}{n}

The variance is the sum of squared deviations from the mean divided by n1n-1:

s2=(xix)2n1s^2=\dfrac{\sum (x_i-\overline{x})^2}{n-1}

You could create comparitive boxplots, dotplots, etc. For boxplots: The whiskers of the boxplot are at the minimum and maximum value. The box starts at the first quartile, ends at the third quartile and has a vertical line at the median. The first quartile is at 25% of the sorted data list, the median at 50% and the third quartile at 75%.

Compare the graphs, mean and variances for males and females.

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