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Session 2:
Homework

Problem H1

Solution  

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

Solution  

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

 

Problem H3

Solution  

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

Solution  

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

Take it Further

Problem H5

 Solution

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?

 

Suggested Readings:

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.
Reproduced with permission from Mathematics Teaching in the Middle School. Copyright © 1997 by the National Council of Teachers of Mathematics. All rights reserved.

Download PDF File:
Understanding Students' Understanding of Graphs
Continued

Kader, Gary, and Perry, Mike (November-December, 1997). Pennies from Heaven -- Nickels from Where? Mathematics Teaching in the Middle School, 3 (3), 240-248.
Reproduced with permission from Mathematics Teaching in the Middle School. Copyright © 1997 by the National Council of Teachers of Mathematics. All rights reserved.

Download PDF File:
Pennies from Heaven -- Nickels from Where?
Continued
Continued
Continued

Putt, Ian; Jones, Graham; Thornton, Carol; Langrall, Cynthia; Mooney, Edward; and Perry, Bob (Autumn, 1999). Young Students' Informal Statistical Knowledge. Teaching Statistics, 21 (3), 74-78.
This article first appeared in Teaching Statistics <http://science.ntu.ac.uk/rsscse/ts/> and is used with permission.

Download PDF File:
Young Students' Informal Statistical Knowledge


Next > Session 3: Describing Distributions

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