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.

Solutions

Verified
Step 1
1 of 3

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.

$n$ is the number of values in the data set.

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

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

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

$s^2=\dfrac{\sum (x_i-\overline{x})^2}{n-1}$

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.

## Recommended textbook solutions #### Introduction to Probability and Statistics for Engineers and Scientists

5th EditionISBN: 9780123948113 (1 more)Sheldon Ross
575 solutions #### Probability and Statistics for Engineers and Scientists

9th EditionISBN: 9780321629111 (6 more)Keying E. Ye, Raymond H. Myers, Ronald E. Walpole, Sharon L. Myers
1,204 solutions #### Probability and Statistics for Engineers and Scientists

4th EditionISBN: 9781111827045 (1 more)Anthony J. Hayter
1,341 solutions #### Applied Statistics and Probability for Engineers

6th EditionISBN: 9781118539712 (3 more)Douglas C. Montgomery, George C. Runger
2,026 solutions