Conclusion
1. Analyze the cotton ball travel distance data that you collected.
a. Record the travel distances of the cotton ball that you measured during the testing phase below and create a dot plot of your data.
2,3,2.5,4,5,4,2,1,3
b. Create a histogram of your data using five class intervals.
c. Is the data normally distributed? Justify your answer.
d. Calculate the mean, median, range and sample standard deviation of the travel distances of the cotton ball.
e. Give a range of travel distances within which you would predict that 95% of all cotton balls launched with your device would fall. For example, you might predict that 95% of the cotton balls that you launch would travel between 2.25 ft and 3.00 ft. Justify your answer.
2. Do you feel that the statistical analysis results would be a better measure of performance when comparing alternate devices that the distance traveled by a cotton ball in a single attempt? Why or why not?
3. How would you recommend using the results of your statistical analysis of travel distances to assess device performance (rather than giving points for the distance of the single attempt allowed in the challenge)?
4. If you had the opportunity to optimize your design, how would you increase the distance that the cotton ball moves?
5. If you had the opportunity to optimize your design, how would reduce the amount of materials used?
6. How could you improve the effectiveness of your team?
1. Analyze the cotton ball travel distance data that you collected.
a. Record the travel distances of the cotton ball that you measured during the testing phase below and create a dot plot of your data.
2,3,2.5,4,5,4,2,1,3
b. Create a histogram of your data using five class intervals.
c. Is the data normally distributed? Justify your answer.
d. Calculate the mean, median, range and sample standard deviation of the travel distances of the cotton ball.
e. Give a range of travel distances within which you would predict that 95% of all cotton balls launched with your device would fall. For example, you might predict that 95% of the cotton balls that you launch would travel between 2.25 ft and 3.00 ft. Justify your answer.
2. Do you feel that the statistical analysis results would be a better measure of performance when comparing alternate devices that the distance traveled by a cotton ball in a single attempt? Why or why not?
3. How would you recommend using the results of your statistical analysis of travel distances to assess device performance (rather than giving points for the distance of the single attempt allowed in the challenge)?
4. If you had the opportunity to optimize your design, how would you increase the distance that the cotton ball moves?
5. If you had the opportunity to optimize your design, how would reduce the amount of materials used?
6. How could you improve the effectiveness of your team?