jan13 boards
DESCRIPTION
Yukon College course MATH 105 (Intro Statistics) blackboardsTRANSCRIPT
![Page 1: Jan13 Boards](https://reader037.vdocuments.site/reader037/viewer/2022103116/55899700d8b42ac4298b465c/html5/thumbnails/1.jpg)
Chebyshev’s theorem: At least 1-1/k2 of the data is within k standard deviations, no matter how crazy the distribution
![Page 2: Jan13 Boards](https://reader037.vdocuments.site/reader037/viewer/2022103116/55899700d8b42ac4298b465c/html5/thumbnails/2.jpg)
Using Chebyshev’s theorem
![Page 3: Jan13 Boards](https://reader037.vdocuments.site/reader037/viewer/2022103116/55899700d8b42ac4298b465c/html5/thumbnails/3.jpg)
Solving for k (we got k=2)
![Page 4: Jan13 Boards](https://reader037.vdocuments.site/reader037/viewer/2022103116/55899700d8b42ac4298b465c/html5/thumbnails/4.jpg)
Calculating z-scores
![Page 5: Jan13 Boards](https://reader037.vdocuments.site/reader037/viewer/2022103116/55899700d8b42ac4298b465c/html5/thumbnails/5.jpg)
Finding what percentile 86 is at
![Page 6: Jan13 Boards](https://reader037.vdocuments.site/reader037/viewer/2022103116/55899700d8b42ac4298b465c/html5/thumbnails/6.jpg)
In the same data set, what value is at the 75th percentile?
![Page 7: Jan13 Boards](https://reader037.vdocuments.site/reader037/viewer/2022103116/55899700d8b42ac4298b465c/html5/thumbnails/7.jpg)
Finding min, max, and median -- and getting ready to find Q1 and Q3
![Page 8: Jan13 Boards](https://reader037.vdocuments.site/reader037/viewer/2022103116/55899700d8b42ac4298b465c/html5/thumbnails/8.jpg)
Q1 and Q3 from the data on the last slide
![Page 9: Jan13 Boards](https://reader037.vdocuments.site/reader037/viewer/2022103116/55899700d8b42ac4298b465c/html5/thumbnails/9.jpg)
Boxplot of the 5-number summary we just found
![Page 10: Jan13 Boards](https://reader037.vdocuments.site/reader037/viewer/2022103116/55899700d8b42ac4298b465c/html5/thumbnails/10.jpg)
More practice calculating standard deviation with a table
![Page 11: Jan13 Boards](https://reader037.vdocuments.site/reader037/viewer/2022103116/55899700d8b42ac4298b465c/html5/thumbnails/11.jpg)
Finishing the calculation using the table on the last slide
![Page 12: Jan13 Boards](https://reader037.vdocuments.site/reader037/viewer/2022103116/55899700d8b42ac4298b465c/html5/thumbnails/12.jpg)
Another table calculation for standard deviation with new data
![Page 13: Jan13 Boards](https://reader037.vdocuments.site/reader037/viewer/2022103116/55899700d8b42ac4298b465c/html5/thumbnails/13.jpg)
Completing that calculation
![Page 14: Jan13 Boards](https://reader037.vdocuments.site/reader037/viewer/2022103116/55899700d8b42ac4298b465c/html5/thumbnails/14.jpg)
So, we found that the tallest buildings in New York are more variable in height than those in Hong Kong.