http://www.ck12.org Chapter 15. Concepts of Statistics
1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 8, 9, 10, 15- Compute the five number summary for the following data:
1, 4, 96, 356, 2557, 9881, 14420, 20100
Answers: - Suppose there are 8 data points. The lowest point must be 2 and the highest point must be 20. The middle two
points must average to be 9 so they could be 8 and 10. The second and third points must average to be 5 so they
could be 4 and 6. The sixth and seventh points need to average to be 18 so they could be 18 and 18. Here is one
possible answer:
2, 4, 6, 8, 10, 18, 18, 20 - There are 20 observations.
- Lower : 1
- Q1 :^2 + 23 = 2. 5
- Q2 :^4 + 25 = 4. 5
- Q3 :^6 + 27 = 6. 5
- Upper : 15
- There are 8 observations.
- Lower : 1
- Q1 :^4 + 296 = 50
- Q2 :^356 + 22557 = 1456. 5
- Q3 :^9881 + 214420 = 12150. 5
- Upper: 20100
Practice
Compute the five number summary for each of the following sets of data:
- 0.16, 0.08, 0.27, 0.20, 0.22, 0.32, 0.25, 0.18, 0.28, 0.27
- 77, 79, 80, 86, 87, 87, 94, 99
- 79, 53, 82, 91, 87, 98, 80, 93
- 91, 85, 76, 86, 96, 51, 68, 92, 85, 72, 66, 88, 93, 82, 84
- 335, 233, 185, 392, 235, 518, 281, 208, 318
- 38, 33, 41, 37, 54, 39, 38, 71, 49, 48, 42, 38
- 3, 7, 8, 5, 12, 14, 21, 13, 18
- 6, 22, 11, 25, 16, 26, 28, 37, 37, 38, 33, 40, 34, 39, 23, 11, 48, 49, 8, 26, 18, 17, 27, 14
- 9, 10, 12, 13, 10, 14, 8, 10, 12, 6, 8, 11, 12, 12, 9, 11, 10, 15, 10, 8, 8, 12, 10, 14, 10, 9, 7, 5, 11, 15, 8, 9, 17,
12, 12, 13, 7, 14, 6, 17, 11, 15, 10, 13, 9, 7, 12, 13, 10, 12 - 49, 57, 53, 54, 49, 67, 51, 57, 56, 59, 57, 50, 49, 52, 53, 50, 58
- 18, 20, 24, 21, 5, 23, 19, 22
- 900, 840, 880, 880, 800, 860, 720, 720, 620, 860, 970, 950, 890, 810, 810, 820, 800, 770, 850, 740, 900, 1070,
930, 850, 950, 980, 980, 880, 960, 940, 960, 940, 880, 800, 850, 880, 760, 740, 750, 760, 890, 840, 780, 810,
760, 810, 790, 810, 820, 850 - 13, 15, 19, 14, 26, 17, 12, 42, 18
- 25, 33, 55, 32, 17, 19, 15, 18, 21
- 149, 123, 126, 122, 129, 120