The document provides information about quartiles, percentiles, and box-and-whisker plots. It defines key terms like quartiles, interquartile range, outliers, and percentiles. It also shows an example of calculating quartiles, interquartile range, and outliers from a set of data and identifying elements on a box-and-whisker plot.

1. SECTION 1-6
Quartiles and Percentiles

2. ESSENTIAL QUESTIONS
• How do you identify quartiles and calculated percentiles?
• How do you create a box-and-whisker plot?
• Where you’ll see this:
• Education, market research, statistics

3. VOCABULARY
1. Quartiles:
2. Interquartile Range:
3. Box-and-whisker Plot:
4. Whiskers:

4. VOCABULARY
1. Quartiles: Three numbers that group the data into four
equal parts
2. Interquartile Range:
3. Box-and-whisker Plot:
4. Whiskers:

5. VOCABULARY
1. Quartiles: Three numbers that group the data into four
equal parts
2. Interquartile Range: The difference between the first
and third quartiles;
3. Box-and-whisker Plot:
4. Whiskers:

6. VOCABULARY
1. Quartiles: Three numbers that group the data into four
equal parts
2. Interquartile Range: The difference between the first
and third quartiles; IQR = Q3 - Q1
3. Box-and-whisker Plot:
4. Whiskers:

7. VOCABULARY
1. Quartiles: Three numbers that group the data into four
equal parts
2. Interquartile Range: The difference between the first
and third quartiles; IQR = Q3 - Q1
3. Box-and-whisker Plot: Shows the distribution of data by
separating it into four parts with an equal number of
values in each
4. Whiskers:

8. VOCABULARY
1. Quartiles: Three numbers that group the data into four
equal parts
2. Interquartile Range: The difference between the first
and third quartiles; IQR = Q3 - Q1
3. Box-and-whisker Plot: Shows the distribution of data by
separating it into four parts with an equal number of
values in each
4. Whiskers: Lines that are drawn out from the box (Q1
to Q3) to the highest and lowest values

9. VOCABULARY
5. Outliers:
6. Percentile:

10. VOCABULARY
5. Outliers: Data that is at least 1.5 times the IQR below
Q1 or 1.5 times the IQR above Q3
6. Percentile:

11. VOCABULARY
5. Outliers: Data that is at least 1.5 times the IQR below
Q1 or 1.5 times the IQR above Q3
Check: Q1 - 1.5(Q3-Q1) or Q3 + 1.5(Q3-Q1)
6. Percentile:

12. VOCABULARY
5. Outliers: Data that is at least 1.5 times the IQR below
Q1 or 1.5 times the IQR above Q3
Check: Q1 - 1.5(Q3-Q1) or Q3 + 1.5(Q3-Q1)
6. Percentile: A ranking that shows what percent of a
group scored at or below your score

13. VOCABULARY
5. Outliers: Data that is at least 1.5 times the IQR below
Q1 or 1.5 times the IQR above Q3
Check: Q1 - 1.5(Q3-Q1) or Q3 + 1.5(Q3-Q1)
6. Percentile: A ranking that shows what percent of a
group scored at or below your score
# scores ≤ your score
Percentile = x 100
total # of scores

14. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
360 239 159 278 300 384 109 255 195 375 215 229 240

15. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
360 239 159 278 300 384 109 255 195 375 215 229 240
Arrange in order:

16. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
360 239 159 278 300 384 109 255 195 375 215 229 240
Arrange in order:
109 159 195 215 229 239 240 255 278 300 360 375 384

17. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
360 239 159 278 300 384 109 255 195 375 215 229 240
Arrange in order:
109 159 195 215 229 239 240 255 278 300 360 375 384
Median

18. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
360 239 159 278 300 384 109 255 195 375 215 229 240
Arrange in order:
109 159 195 215 229 239 240 255 278 300 360 375 384
Median
240

19. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
360 239 159 278 300 384 109 255 195 375 215 229 240
Arrange in order:
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median
240

20. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
360 239 159 278 300 384 109 255 195 375 215 229 240
Arrange in order:
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median
205 240

21. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
360 239 159 278 300 384 109 255 195 375 215 229 240
Arrange in order:
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240

22. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
360 239 159 278 300 384 109 255 195 375 215 229 240
Arrange in order:
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330

23. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330

24. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330
IQR = 330 - 205

25. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330
IQR = 330 - 205 = 125

26. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330
IQR = 330 - 205 = 125
Q1-1.5(IQR) =

27. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330
IQR = 330 - 205 = 125
Q1-1.5(IQR) = 205 - 1.5(125)

28. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330
IQR = 330 - 205 = 125
Q1-1.5(IQR) = 205 - 1.5(125) = 17.5

29. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330
IQR = 330 - 205 = 125
Q1-1.5(IQR) = 205 - 1.5(125) = 17.5
Q3+1.5(IQR) =

30. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330
IQR = 330 - 205 = 125
Q1-1.5(IQR) = 205 - 1.5(125) = 17.5
Q3+1.5(IQR) = 330 + 1.5(125)

31. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330
IQR = 330 - 205 = 125
Q1-1.5(IQR) = 205 - 1.5(125) = 17.5
Q3+1.5(IQR) = 330 + 1.5(125) = 517.5

32. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330
IQR = 330 - 205 = 125
Q1-1.5(IQR) = 205 - 1.5(125) = 17.5 No outliers
Q3+1.5(IQR) = 330 + 1.5(125) = 517.5

33. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330

34. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330

35. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330

36. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330

37. WORK WITH DATA
Use the data to find the median of the prices of bicycles
sold at Cycle Garage (dollars)
109 159 195 215 229 239 240 255 278 300 360 375 384
Q1 Median Q3
205 240 330

39. 100 150 200 250 300 350 400

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46. USING THE TI-84/83

47. USING THE TI-84/83

48. USING THE TI-84/83

49. USING THE TI-84/83

50. USING THE TI-84/83

51. USING THE TI-84/83

52. USING THE TI-84/83

53. USING THE TI-84/83

54. EXAMPLE 1
Matt Mitarnowski is ranked 75th in his class of 200
students. Fuzzy Jeff is in the same class and has a percentile
rank of 75. Who has the higher standing in the class?

55. EXAMPLE 1
Matt Mitarnowski is ranked 75th in his class of 200
students. Fuzzy Jeff is in the same class and has a percentile
rank of 75. Who has the higher standing in the class?
Find Matt’s percentile

56. EXAMPLE 1
Matt Mitarnowski is ranked 75th in his class of 200
students. Fuzzy Jeff is in the same class and has a percentile
rank of 75. Who has the higher standing in the class?
Find Matt’s percentile
Percentile =

57. EXAMPLE 1
Matt Mitarnowski is ranked 75th in his class of 200
students. Fuzzy Jeff is in the same class and has a percentile
rank of 75. Who has the higher standing in the class?
Find Matt’s percentile
200 - 74
Percentile = x 100
200

58. EXAMPLE 1
Matt Mitarnowski is ranked 75th in his class of 200
students. Fuzzy Jeff is in the same class and has a percentile
rank of 75. Who has the higher standing in the class?
Find Matt’s percentile
200 - 74 126
Percentile = x 100 = x 100
200 200

59. EXAMPLE 1
Matt Mitarnowski is ranked 75th in his class of 200
students. Fuzzy Jeff is in the same class and has a percentile
rank of 75. Who has the higher standing in the class?
Find Matt’s percentile
200 - 74 126
Percentile = x 100 = x 100 = 63
200 200

60. EXAMPLE 1
Matt Mitarnowski is ranked 75th in his class of 200
students. Fuzzy Jeff is in the same class and has a percentile
rank of 75. Who has the higher standing in the class?
Find Matt’s percentile
200 - 74 126
Percentile = x 100 = x 100 = 63
200 200
Matt is in the 63rd percentile, so Jeff has the higher standing.

61. PROBLEM SET

62. PROBLEM SET
p. 30 #1-22
“The highest result of education is tolerance.” - Helen Keller