Session 2:
Homework

Problem H1

For the following data sets, create line plots, frequency tables, and cumulative frequency tables. Use your results to answer the question "How many raisins are in a half-ounce box of raisins?" for each brand.

Brand A

 23 25 25 26 26 26 26 27 27 27 27 28 29 29 29 30 30 31 31 31 32 32 32 33 34 34 35 35 36 39

Brand B

 17 22 24 24 25 25 25 25 26 26 26 26 26 26 27 27 27 27 28 29 29 29 29 29 29 30 30

Brand C

 25 25 25 26 26 26 26 26 27 27 27 28 28 28 28 28 28 28 28 28 29 29 29 30 30 31 32 32

Brand D

 23 24 25 25 25 27 27 27 27 27 27 27 27 28 28 29 29 29 29 29 29 30 31 32 32 33 33 33 34 34 35 35 35 36 36 38

 Problem H2 Based on your analyses in Problem H1, which brand of raisins would you buy? Explain.

Problem H3

 a. Use the representations of the data you developed for Problem H1 to determine the minimum and maximum raisin counts and the median raisin count for each brand of raisins (A, B, C, and D). b. Which brand has the most variation? Which has the least variation? c. Which brand typically has more raisins? Which brand typically has fewer raisins? d. Does your work on this problem change your answer to Problem H2?

 Problem H4 Choose one of the brands listed above and create a relative frequency table and relative frequency bar graph for it.

 Problem H5 Create two data sets that have the same mean, the same median, and the same mode, but are not identical data sets. How could you distinguish these sets from each other?

Friel, Susan, Bright, George, and Curcio, Frances (November-December, 1997). Understanding Students' Understanding of Graphs. Mathematics Teaching in the Middle School, 3 (3), 224-227.

Kader, Gary, and Perry, Mike (November-December, 1997). Pennies from Heaven -- Nickels from Where? Mathematics Teaching in the Middle School, 3 (3), 240-248.