What is a frequency distribution? Go to http://www.gutenberg.org/browse/scores/top and pick one of the categories. What percentages, shown at the top of the page, were the top five in that category of the total? If you were to graph the top 100, what would the graph look like? What information does this tell us if we wanted hard copies of these books to put on a 5-foot shelf in a store? Which books would we choose? What happens if we sell them online instead?
What is the middle? If we have student scores of 4.0, 3.7, 3.7, 3.7, and 1.0, the average would be 3.2, whereas the medianand the modewould both be 3.7. Is one of them truly in the middle? How dispersed is this list? That is, how much do the scores vary from the middle? Now, look at a routine you do every day at work. Which matters most, the average time it takes to complete it or the most frequent amount of time? How would you go about finding the middle of the process? How much does the time spent vary?
This solution assists with the frequency distribution problem.