Comparing Data Sets

COMPARING DATA SETS

Enduring Understanding: Develop a better understanding of how to use a box and whisker plot to analyze collected data.

Essential Questions:

· How is a box and whisker plot created?

· How is each quartile in a box and whisker plot determined?

· When is a box and whisker plot more appropriate than another type of plot or graph?

· How is the range determined in a box and whisker plot?

· How are the measures of central tendency determined from a box and whisker plot?

· How is a conclusion supported by data?

· How is computation used to give an answer within a given context?

Lesson Overview:

· Before allowing the students the opportunity to start the activity: access their prior knowledge with regards to how to create a box and whisker plot.

· What is meant by mean, median, mode? Are there advantages/disadvantages to using one measure of central tendency than another?

· Discuss how measures of central tendency are used to support an argument.

· How is ratio used to construct a solution?

· A good warm-ups to use would be Patience’s Patience Pays Off and Apple Baskets

· How can you support a conclusion that you make? What evidence from graphs or plots can be used to support/justify your conclusion?

· Use resources from your building.

EALRs/GLEs:

1.1.4

1.4.6

2.2.2

3.2.2

3.3.1

4.2.2

5.1.1

Item Specifications: PS03; SR04; NS04; NS02; CU02; MC01

Assessment:

· Use WASL format items that link to what is being covered by the classroom activity

· Include multiple choice questions

Comparing Data Sets

Use the attached data about television show ratings ending December 11, 2005.

Use the back of this paper for steps 1-3. You may attach graph paper.

On a separate sheet of paper, make a box and whisker plot for the ratings of the shows on CBS, ABC, and NBC.
Give the range, mean, median, upper and lower quartiles, and extremes for each set of data.
Be sure all labels are included and clear.

The president of CBS believes that CBS shows are more popular. Use the information from the graphs to support this opinion.

______

The presidents of ABC and NBC are claiming that their network is the most popular. Make a case supporting the claim being made by the president of ABC. Use information from the graphs to support your claim.

______

6. Make a case supporting the claim being made by the president of NBC. Use information from the graphs to support your claim.

______

7. How many households watched “Survivor: Guatemala Reunion”? Show how you determined your answer.

8. The box-and-whisker plot below shows the starting salaries for graduates of a small college.

Which is the range of the starting salaries?

O A. $20,000

O B. $33,000

O C. $53,000

O D. $72,000

9. Mr. Andrews made a box-and-whisker graph of the quiz grades in his chemistry class.

Which is the median quiz grade for the class?

O A. 70

O B. 77

O C. 80

O D. 85

10. Mr. Fourman grades on a curve in which the top 25% of the test scores earn As, the middle 50% earn Cs, and the bottom 25% earn Fs. The box and whisker plot below shows the distribution of scores on the last test.

Which is the range of scores for people who earned Cs?

O A. 5

O B. 10

O C. 15

O D. 30

The following tables give the ratings for national prime-time television for the week of December 4 through December 11, 2005, as compiled by the A. C. Nielsen Co. The 30.94 rating for CSI means that out of every 100 houses with television, 30.94 were watching CSI at the time it was on. Each ratings point represents 849,000 TV households.

PRIME TIME TELEVISION RATINGS
Program / Network / Rating
1. / CSI / CBS / 30.94
2. / Without a Trace / CBS / 21.76
3. / “Survivor: Guatemala Finale” / CBS / 21.18
4. / Survivor: Guatemala / CBS / 20.21
5. / 60 Minutes / CBS / 19.72
6. / Law and Order: SVU / NBC / 16.29
7. / Grey’s Anatomy / ABC / 15.70
8. / “Charlie Browns Christmas” / ABC / 15.34
8. / ER / NBC / 15.34
10. / CSI: Miami / CBS / 15.33
11. / “Survivor: Guatemala Reunion” / CBS / 15.21
12. / Monday Night Football / ABC / 15.09
13. / Two and a Half men / CBS / 14.11
14. / NCIS / CBS / 14.00
15. / My Name is Earl / NBC / 13.99
16. / NFL Monday Showcase / ABC / 13.64
17. / Extreme Makeover: Home Edition / ABC / 12.97
18. / Close to Home / CBS / 12.80
19. / Las Vegas (9 p.m.) / NBC / 12.61
20. / Numb3rs / CBS / 12.53
21. / Law & Order / NBC / 12.13
22. / Ghost Whisperer / CBS / 11.53
23. / Crossing Jordan / NBC / 11.40
24. / Apprentice 4 / NBC / 11.27
25. / Amazing Race 8 / CBS / 11.16
26. / Out of Practice / CBS / 11.01
27. / Lost / ABC / 10.99
28. / Law & Order: Criminal Intent (Sun.) / NBC / 10.43
29. / The Simpsons / FOX / 10.30
30. / Commander in Chief / ABC / 10.08
31. / CSI: NY / CBS / 10.03
32. / Office / NBC / 9.74
33. / Boston Legal / ABC / 9.54
Source: A.C. Nielsen Company.
PRIME TIME TELEVISION RATINGS
Program / Network / Rating
34. / E-Ring / NBC / 9.36
35. / King of Queens / CBS / 9.26
36. / America’s Funniest Home Videos (Sun.) / ABC / 9.17
37. / Medium / NBC / 8.90
38. / “Victoria’s Secret Fashion Show” / CBS / 8.86
39. / Will & Grace / NBC / 8.79
40. / How I Met Your Mother / CBS / 8.72
41. / “I Want a Dog For Christmas” / ABC / 8.60
42. / Family Guy / FOX / 8.39
43. / Las Vegas (8 p.m.) / NBC / 8.33
44. / Fear Factor / NBC / 8.20
45. / The West Wing / NBC / 8.13
46. / George Lopez / ABC / 8.08
47. / 48 Hours Mystery / CBS / 7.96
48. / Dateline: NBC (Fri.) / NBC / 7.92
49. / Joey / NBC / 7.77
50. / War at Home / FOX / 7.68
51. / Dateline: NBC (Sun.) / NBC / 7.62
52. / Trading Spouses / FOX / 7.54
53. / Freddie / ABC / 7.44
54. / Cops (8:30 p.m.) / FOX / 7.36
55. / Law & Order: Criminal Intent (Fri.) / NBC / 7.34
56. / American Dad / FOX / 7.25
57. / Wife Swap / ABC / 7.10
58. / King of the Hill (7:52 p.m.) / FOX / 7.04
59. / “Dr. Seuss’ How the Grinch Stole Christmas / ABC / 6.94
60. / 20/20 / ABC / 6.92
61. / America’s Most Wanted / FOX / 6.90
62. / That 70’s Show / FOX / 6.82
63. / Apprentice: Martha / NBC / 6.64
64. / America’s Next Top Model 5 (Wed.) / UPN / 6.44
65. / Alias / ABC / 6.40
66. / Cops / FOX / 6.38
66. / “Billboard Music Awards” / FOX / 6.38
68. / Primetime / ABC / 6.31
69. / Three Wishes / NBC / 6.28
70. / “Pope John Paul II,” Part 2 / CBS / 6.17
Source: A.C. Nielsen Company.