2. STATISTICS & PROBABILITY IN ELEMENTARY & MIDDLE SCHOOL. by RICK A. CAZZATO Hinsdale South High School

3. If you were to flip a coin 50 times, the outcome in one of the two columns.

4. Now, flip a coin 50 times and record the results.

5. Numb3s Handout

6. Randomization

7. Random Rectangle Handout

8. Saturday, December 05, 2015 1. Look at the rectangle sheet and write down the average area of the rectangles on the sheet, you have 10 seconds to do this. Turn your paper over and write your answer on the back of the sheet.

9. 2. Select ten of the rectangles, in your judgment, that are representative of the rectangles, write down the area for each ten and calculate the average. How does this compare to your guess?

10. 3. Make a dot plot, 5 point summary, box and whiskers, of the classes guesses and subjective guesses.

11. 4. Use the random digit table and select a SRS of size 10. 5. Compute the average of the your SRS and the classes. 6. How does this compare? 7. Make a dot plot, 10 point summary, box and whiskers, and 10 of the classes SRS.

12. Mean = 7.420 Median = 6 Stdev = 5.228 Min = 1 Max = 18 Q1 = 4 Q3 = 12

15. One Variable Statistics

16. Pretend you are little kids sharing and the blocks are candy. Determine how to share the candy in the group equally. For Group of 4’s:Group of 3’s oldest gets 3oldest gets 11 Second oldest gets 6middle gets 3 Third oldest gets 10youngest gets 10 youngest gets 5

22. If we have six tests this semester, you want an 80% average, with the grades {86,79,73,82,82,}, what does your next grade need to be to earn an 80%? 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 XXXX X 1 7 6 2 2 X 2

24. Calculate the mean of the Total Fat in grams for each candy bar.

26. Mean What do you notice?

27. Mean What do you notice?

28. Mean

31. Line up according to the number of hours of sleep you had last night, round to the nearest ten minutes. How can we represent this data graphically? How can we represent this data numerically?

32. The prices, in dollars, of nine homes in West Chicago are given below: 79,000135,000 170,000 575,000137,000148,000 153,00079,000110,000 The mean is $179222.22. The median is $137,000. The mode is $79,000. Which statistic is best? Why?

33. In a press release by the University of North Carolina’s Alumni Association in the 1980’s, they reported that the average starting salary for graduating geography majors was $300,000. What do you think about this statement?

34. State Names Activity Sheet

37. 0 | 0 1 2 2 2 4 5 6 8 8 1 | 0 1 1 2 4 5 5 9 2 | 2 8 Key: 3 | 6 means 36 3 | 2 6 4 | 3 4 5 | 6 | 1

39. Two Variables

40. Namearmspanheightgender Mr. C188.5181m Amy167.3169.5f Kim166.2168.3f Arsen179.5177.5m Muff180177m Maggie164.7166.6f

45. Extra Stuff

46. Laura earned the following grades during the year: 74, 78, 73, 74, 70, 68, 39, 74, 76, 74. In the class a 72 is a earns a C grade. Should Laura earn a C for the year? Explain your reasoning by writing complete sentence.

47. The Environmental Protection Agency (EPA) performs extensive tests on all new car models to determine their mileage ratings. The next screen represents the results of such tests on new car models. What can you tell me about these ratings?

49. DOT PLOT What can you tell me now?

50. EPA Mileage Ratings 20|0 21|8 22|5 7 9 9 23|1 2 6 8 9 9 24|0 2 4 5 8 8 25|0 1 2 3 5 6 6 7 7 9 9 26|0 1 2 3 3 4 4 5 5 6 6 7 7 7 8 8 8 9 9 9 27|0 0 0 0 1 1 1 2 2 3 3 4 4 5 6 6 7 7 8 9 9 28|0 1 2 2 3 4 5 6 7 8 29|0 0 3 4 5 7 8 9 30|0 1 2 3 5 5 7 31|0 0 2 32|1 33| 34|9 What can you tell me now? Stem & Leaf Plot KEY 26  3 means 26.3 miles

51. Histogram What can you tell me now?

52. Write complete sentences for the following questions. 1.What are some advantages to each representation? 2.What are some disadvantages to each representation? 3.How would you create a stem & leaf plot? 4.How would you create a histogram? 5.How are the stem & leaf plot and histogram related?

53. EPA Mileage Ratings 20|0 21|8 22|5 7 9 9 23|1 2 6 8 9 9 24|0 2 4 5 8 8 25|0 1 2 3 5 6 6 7 7 9 9 26|0 1 2 3 3 4 4 5 5 6 6 7 7 7 8 8 8 9 9 9 27|0 0 0 0 1 1 1 2 2 3 3 4 4 5 6 6 7 7 8 9 9 28|0 1 2 2 3 4 5 6 7 8 29|0 0 3 4 5 7 8 9 30|0 1 2 3 5 5 7 31|0 0 2 32|1 33| 34|9 Stem & Leaf Plot KEY 26  3 means 26.3 miles 4

54. 20|0 21|8 22|5799 23|126899 24|024588 25|01235667799 26|01233445566777888999 27|000011122334456677899 28|0122345678 29|00345789 30|0123557 31|002 32|1 33| 34|9

55. 20|0 21|8 22|5799 23|126899 24|024588 25|01235667799 26|01233445566777888999 27|000011122334456677899 28|0122345678 29|00345789 30|0123557 31|002 32|1 33| 34|9 20|0 21|8 22|5799 23|126899 24|024588 25|01235667799 26|01233445566777888999 27|000011122334456677899 28|0122345678 29|00345789 30|0123557 31|002 32|1 33| 34|9

56. items: 100 minimum value: 20.000 first quartile: 25.625 median: 27.000 third quartile: 28.375 maximum value: 34.900 mean value: 26.993 midrange: 27.450 range: 14.900 interquartile range: 2.750 mean deviation: 1.801 sample std dev (n): 2.406 sample std dev (n-1): 2.418

57. Key concepts are Categorical & quantitative variables Discrete or continuous variables Representing data graphically Symmetry, skewed left or right Uniform distribution Center, outliers, spread (variability), gaps, clusters

58. GOAL to graphically and numerically represent data sets, determine advantages and disadvantages of these representations, and associated vocabulary. Line up according to the number of minutes of sleep you had last night.

59. Comparative Stem and Leaf Diagram Student Age female male 7 1 9999 1 888889999999999999999 1111000 2 00000001111111111 3322222 2 2222223333 4 2 445 2 6 2 88 0 3 3 7 3 8 3 4 4 4 7 4 From this comparative stem and leaf diagram, it is clear that the male ages are all more closely grouped then the females. Also the females had a number of outliers.