Juniata College



MSP GrantWorksheet: Basic Descriptive Stats for 5th gradeYou might find the following links to the StatKey web-site helpful. Lock5 homepage: linked off Lock5 homepage: Stats for one quantitative variable: Stats for one quantitative and one categorical variable: . Take your temperature and write it down on the provided notecard.2. Place your card on the chalk tray, under the number line on the board, in the correct position, and place a dot in the proper location for your temperature as well.3. What is the definition of median? How is it calculated when there are an even or odd number of data values? 4. What is the median of this class’ temperatures?5. How did the “outlier” temperature affect the median?6. Estimate the median of the values to the left (smaller) of the overall median. Calculate it with and without the “middle” value. What is another name for this median of the “smaller” half of data?7. Do the same as in #6 above for the values to the right (larger) of the overall median. What is another name for this median of the “larger” half of data?8. What do you think Q2 is also called?Note: there isn’t a consensus whether the middle value is included when calculating Q1 and Q3. 9. What is a box plot? What descriptive stats do you need to create it? Write a box plot for the class’ temperature data.10. What is the definition of “mean” average? Why is it sometimes referred to as the “balance-beam” average?11. How does the mean change if the outlier is added to the data on the board? How did it change compared to the change in the median.12. You can find StatKey by Googling “Lock 5.” Try this. If you can’t find it, the link is above. Enter the temperature data in StatKey, using the “1 Quantitative Variable” choice ()13. How do the dotplot, box plot, Q1, median, and Q3 calculated in StatKey compare to the values on the board? 14. Choose the histogram option in StatKey. Remember that histograms are calculated on one quantitative variable, and that they have equally spaced intervals, so the height of the bars can be compared. Use the slider to vary the number of intervals. How does the histogram change? Is there a number of intervals that captures the data well?15. The Set Limits button allows the user more control over the intervals/”buckets” of a histogram. By default, StatKey will use the min and max as the endpoints for the first and last intervals. Use the Set Limits button to change settings, and note the change in the histograms produced.16. Edit the data and add the outlier temperature. Note the changes in the mean and median calculated by StatKey.17. Edit For more practice in StatKey, consider the temperature data included in StatKey. How does it compare to the class’ data? The data can be found in the section “Confidence Interval for a Mean, Median, Std. Dev,” at the URL: . To find it, click on the upper-left button for the data, and select Temperature. Then to capture it, click on “Edit Data” and copy it and paste it into the data for descriptive stats.Next, we’d like to explore two different datasets, and compare their box plots.One convenient set of data to use is scores from the National Football League (NFL). These are available on the web-page, and it’s nice to compare two teams. 18. Choose a team and enter their point totals from each of their sixteen regular season games. For example, the number of points the Chicago Bears scored in each of their sixteen 2013 regular season games are listed below. To find these online, click on a team’s icon at the top of , find their schedule, and be sure to choose the 2013 season. Enter each score into StatKey, and calculate the descriptive statistics for their point totals, as done above for the temperature data. Click on the “Edit Data” button and select all the scores, so they can be pasted later.19. What is the difference between categorical and quantitative data?Next, we would like to compare the box plots of the scores of two different of the teams, and maybe make a prediction on how those teams might have fared vs. each other. First use StatKey’s: Descriptive Stats for one quantitative and one categorical variable 20. This requires two columns of data. The first is categorical. What would it be in this case? What is the quantitative data? StatKey wants these delimited somehow, usually by spaces, commas, or tabs. Note that if the data is originally entered in with spaces or tabs as delimiters, StatKey will add in commas. Paste in your original score data, and add the categorical value for it, team name in this case. The data in StatKey would look like:Bears, 11Bears, 18Bears, 19...21. Find another team and enter its scores as well. Create box plots for both teams.22. Which of the two teams do you think had a better season? 23. If these two teams played, who do you expect to win?24. What on the box plots did you use to help predict this?25. Did your two teams play? If so, what was the result? 26. Does this agree with your prediction? Why or why not?Appendix: Points Scored by 2013 NFL TeamsTeamPoints ScoredTeamPoints ScoredBears24Vikings24Bears31Vikings30Bears40Vikings27Bears32Vikings34Bears18Vikings10Bears27Vikings7Bears41Vikings31Bears27Vikings23Bears19Vikings34Bears23Vikings20Bears21Vikings26Bears20Vikings23Bears45Vikings26Bears38Vikings48Bears11Vikings14Bears28Vikings14 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download