1. How many batting titles were won with a batting average between 0.300 –0.350 from 1901 to 1930? 1 4 6 2 13

2. How many batting titles were won with a batting average between 0.300 –0.350 from 1931 to 1960? 1 7 4 13 25

3. How many batting titles were won with a batting average between 0.300 –0.350 from 1961 to 1990? 1 11 18 5 38 3

4. If you were to find the mean of each of the winning batting averages for each time period, which time period do you think would have the highest mean? Mean:.372 Mean:.353 Mean:.342 As the century progressed, what in general happened to the batting averages of the batting title winners? Winning Batting Averages have declined over the century

5. As the century progressed, what happened to batting four hundred? Ted Williams was the last man to bat 400 in 1941. 1010

6. Did Bacon write Shakespeare’s Plays? What percent of all Shakespeare’s words are 4 letters long? 2465 323 24% What percent of all Shakespeare’s words Are more than 5 letters long? 19%

7. Did Bacon write Shakespeare’s Plays? What percent of all Bacon’s words are 4 letters long? 1887445 18% What percent of all Bacon’s words are more than 5 letters long? 28%

8. Did Bacon write Shakespeare’s Plays? What percent of all Bacon’s words are 4 letters long? 18% What percent of all Bacon’s words more than 5 letters long? 28% What percent of all Shakespeare’s words are 4 letters long? 24% What percent of all Shakespeare’s words more than 5 letters long? 19% Based on these histograms, do you think that William Shakespeare was really just a pen name for Sir Francis Bacon? It seems that Bacon used more longer words.

9. About what percent of the students at Wheatland get at least 8 hours of sleep per night? About what percent of the students at Urbandale get at least 8 hours of sleep per night? 30 10 41% 18 10 8 2 1 1 49% Wheatland’s percent of students who sleep between 8-9 hours a night is ___% more than Urbandale’s. 20 30% - 10% =

10. Which high school has more actual students that sleep between 9 – 10 per night? 10 Both have 10% 10 But 10% of the 100 students at Whaeland = 10 students. 10% of the 3500 students at Urbandale = 350 students!

11. Which high school has a higher median sleep time? 5 Median is at 50% 1 Median Sleep time at Wheatland = 7.5 hours. Median at Urbandale is only 6.5 hours. 1 3 45 7.5 35 2224 6.5

12. Consider the type of data in the last two sets of problems (letters per word & sleep times). b) Are sleep times qualitative or quantitative ? c) Which data set is continuous? a) Are letters per word qualitative or quantitative? d) Which data set is discrete? Words are qualitative, but the length of the word is numeric. Sleep times do not have to be whole numbers. You can sleep 7½ hours Letter counts have to be whole numbers. A word cannot contain 6½ letters.

13. Age of Oscar Winners by Gender and Year ActressesActors AgeCountAgeCount 20-291620-290 30-391030-3912 40-493 11 50-590 5 60-691 2 Make two histograms for actresses & for actors Use bin widths of ten years

14. Ages of Oscar Winning Actors