Puzzle Design Challenge Analysis
This is the times, ages and gender of the people I got to solve my puzzle cube, and then I graphed them in Excel.
Note: All times are in seconds.
(Note: Subjects 7 and 8 worked together)
Number of tries
Note: All times in Try #1 that are at(1,0) are people who gave up on completing the puzzle cube on their first try.
Note: All times in Try #1 that are at(1,0) are people who gave up on completing the puzzle cube on their first try.
All times are in seconds, not counting people who gave up.
Mean for Try #1: 415.7
Median for Try #1: 478
Mode for Try #1: 802
Standard Deviation for Try #1: 354.6
Mean for Try #2: 121.4
Mean for Try #3: 37.8
Mean for Try #1: 415.7
Median for Try #1: 478
Mode for Try #1: 802
Standard Deviation for Try #1: 354.6
Mean for Try #2: 121.4
Mean for Try #3: 37.8
Conclusion:
1. Why is it important to model an idea before making a final prototype?
Because then you can predict the outcome, and if it will work or not.
2. Which assembly constraint(s) did you use to constrain the parts of the puzzle to the assembly such that it did not move? Describe each of the constraint types used and explain the degrees of freedom that are removed when each is applied between two parts. You may wish to create a sketch to help explain your description.
When we were modeling them in Inventor, we basically made the two pieces be the same piece, effectively removing degrees of freedom.
3. Based on your experiences during the completion of the Puzzle Design Challenge, what is meant when someone says, “I used a design process to solve the problem at hand”? Explain your answer using the work that you completed for this project.
They did a lot of work through a process and and eventually found a solution that worked.
4. How does the gender of the puzzle solver affect solution time? Be specific and provide evidence to support your answer.
My data showed didn't show that it changed the times in any major way,but I was not testing specifically for gender, because I only have 3 female subjects as opposed to 7 male subjects, so I don't enough data to make a definitive statement.
5. How does the age of the puzzle solver affect solution time?
Again, I didn't specifically test for age, seeing as the ages are 11,14,14,14,14,15,15,16,17,42, with an outlier at 42, but the 42 year old solved it significantly faster than most others on his first try.
a. Make a specific statement related to the rate of increase or decrease of solution time with respect to age. Provide evidence that supports your statement.
I do not have enough evidence to say anything specific, but it seems that the older you get, the faster you solve the ouzzle cube, with a few outliers. For example, the fastest times came from a 14 year old, a 42 year old, and a 17 year old, and the rest of the ages are either 11,14,15,or 16.
b. Write an equation using function notation that represents puzzle solution time in terms ofage. Be sure to define your variables and identify units.
The time of the solver goes down as the age of the solver goes up.
c. Predict the solution time on the first attempt of a child who is 3 years of age. Show your work.
The three year old would probably give up, because it is a three year old, but if it tried, it would probably be a very long time.
d. Predict the solution time on the first attempt of a person who is 95 years of age. Show your work.
It would probably be around 2 or 3 minutes.
e. Do these predictions make sense? Why or why not?
No, because I don't have enough data to make an accurate prediction.
f. What is a realistic domain for the function?
x is greater than or equal to one but less than or equal to three.
1. Why is it important to model an idea before making a final prototype?
Because then you can predict the outcome, and if it will work or not.
2. Which assembly constraint(s) did you use to constrain the parts of the puzzle to the assembly such that it did not move? Describe each of the constraint types used and explain the degrees of freedom that are removed when each is applied between two parts. You may wish to create a sketch to help explain your description.
When we were modeling them in Inventor, we basically made the two pieces be the same piece, effectively removing degrees of freedom.
3. Based on your experiences during the completion of the Puzzle Design Challenge, what is meant when someone says, “I used a design process to solve the problem at hand”? Explain your answer using the work that you completed for this project.
They did a lot of work through a process and and eventually found a solution that worked.
4. How does the gender of the puzzle solver affect solution time? Be specific and provide evidence to support your answer.
My data showed didn't show that it changed the times in any major way,but I was not testing specifically for gender, because I only have 3 female subjects as opposed to 7 male subjects, so I don't enough data to make a definitive statement.
5. How does the age of the puzzle solver affect solution time?
Again, I didn't specifically test for age, seeing as the ages are 11,14,14,14,14,15,15,16,17,42, with an outlier at 42, but the 42 year old solved it significantly faster than most others on his first try.
a. Make a specific statement related to the rate of increase or decrease of solution time with respect to age. Provide evidence that supports your statement.
I do not have enough evidence to say anything specific, but it seems that the older you get, the faster you solve the ouzzle cube, with a few outliers. For example, the fastest times came from a 14 year old, a 42 year old, and a 17 year old, and the rest of the ages are either 11,14,15,or 16.
b. Write an equation using function notation that represents puzzle solution time in terms ofage. Be sure to define your variables and identify units.
The time of the solver goes down as the age of the solver goes up.
c. Predict the solution time on the first attempt of a child who is 3 years of age. Show your work.
The three year old would probably give up, because it is a three year old, but if it tried, it would probably be a very long time.
d. Predict the solution time on the first attempt of a person who is 95 years of age. Show your work.
It would probably be around 2 or 3 minutes.
e. Do these predictions make sense? Why or why not?
No, because I don't have enough data to make an accurate prediction.
f. What is a realistic domain for the function?
x is greater than or equal to one but less than or equal to three.