1. Homework Quiz 9/30 Find the standard deviation of: 8, 4, 3, 2

2. Relative Standing and Boxplots Section 3-4

3. Agenda z-Scores Finding Percentile Finding Quartiles Box Plots Interquartile Range Modified Box Plots

4. Agenda z-Scores Finding Percentile Finding Quartiles Box Plots Interquartile Range Modified Box Plots

5. z-Scores What does it meanHow do you find it The z-Score for a particular data point tells you the number of standard deviations the point is away from the mean

6. Example A man is 76.2 in tall and 237.1 lb heavy. Which of these measurements is more extreme? Consider that the mean height is 68.34 in with a standard deviation of 3.02 in. Also the mean weight is 172.55 lb with a standard deviation of 26.33 lb. ROUND-OFF RULE: Round z-Scores to the nearest hundredth, as that is how they are typically plugged into statistical tables.

7. z Scores and Usual Values Whenever a data value is less than the mean, its corresponding z score is negative.

8. Agenda z-Scores Finding Percentiles Finding Quartiles Box Plots Interquartile Range Modified Box Plots

9. Percentile What does it meanHow do you find it A percentile tells you what percentage of the data is less than a particular data value ROUND-OFF RULE: Round off to the nearest whole number.

10. Example The scores on the most recent quiz are posted in the table below. Assume you are the person that scored a 93, and calculate your percentile. 7810099982157 687585888786 39295979377 878886858281 7962659910088

11. Agenda z-Scores Finding Percentile Finding Quartiles Box Plots Interquartile Range Modified Box Plots

12. Quartiles What does it meanHow do you find it * The data must be ordered least to greatest first. ROUND-OFF RULE: Round L to the nearest whole number unless it is exactly at.5, then find the average of the #’s it is in between.

13. 5-Number Summary What does it meanWhy do we do it? The 5-Number Summary gives us all of the information we need in order to create a box plot (which we will learn next)

14. Example Find the 5-Number Summary for the following data set: 3574 2165 1487

15. Important – Remember the Difference! StatisticParameter Mean Standard Deviation Variance z score

16. Homework P.127-128: #7, 8, 15-18, 27(only complete 5 # summary)

17. Section 3.4 Day 2

18. Homework Quiz 10/2 Write down all of your work for problem #8

19. Agenda z-Scores Finding Percentile Finding Quartiles Box Plots Interquartile Range Modified Box Plots

20. Agenda z-Scores Finding Percentile Finding Quartiles Box Plots Interquartile Range Modified Box Plots

21. Box Plots How to construct itWhy do we do it? Gives us an idea about the distribution, spread, and center of the data Great for comparing two sets of data

22. Example Create a box plot using the following data about the number of times Abena solved a rubik’s cube in a single minute. 152383 4419912

23. M ATH S WAGG – C ALCULATOR S KILLZ 152383 4419912

24. Critical Thinking Compare the given data sets Each plot represents a different lottery years and the average earnings for the winning contestants. Lottery 1 is in 2010 Lottery 2 is in 2011 Lottery 3 is in 2012

25. Critical Thinking Compare the given data sets

26. Agenda z-Scores Finding Percentile Finding Quartiles Box Plots Interquartile Range Modified Box Plots

27. Interquartile Range How to find itWhy do we do it?

28. Agenda z-Scores Finding Percentile Finding Quartiles Box Plots Interquartile Range Modified Box Plots

29. Modified Box Plot What is it?Why do we do it? A modified box plot follows the same procedure as a normal box plot, except you distinguish outliers using asterisks and stop your line at the least and greatest values that aren’t outliers. Outliers can significantly effect the shape of the data, so using the modified box plot makes are representation resistant.

30. Example Create a modified box plot using the following data about the number of times Ms. P served an ace against Mitch after school at the tennis courts. ACES3235372830 4245414929120

31. Homework P.126-128: #4, 11, 14, 27, 28