1. Lindsay Liebert & Julia Calabrese March 26, 2018 Block 2
Spaghetti On a Window
Lindsay Liebert & Julia Calabrese
March 26, 2018
Block 2

2. For our project, you had one minute to throw single pieces of spaghetti at a window and we measured how many pieces of spaghetti you could get to stick to the window in one minute.
Variables:
Gender
Arm length
Throwing sport
Music genre
Food type
How many spaghetti
Intro

3. Displays of Quantitative Data
HISTOGRAM
BOXPLOT

4. SUMMARY STATS MEAN​ STD. DEV​ MIN​ Q1​ MED​ Q3​ MAX​ IQR​ ​14.56 ​5.00​7
​10
​14
​18
​36 ​8
Units: Spaghetti

5. Outlier Test
1.5 x 8 = 12
A = 10 –12 = -2
B = = 30
(-2, 30)
There is an 36 spaghetti because 36 exceeds the range of data.

6. Quantitative Data Shape:
The shape of the histogram does not look normal because the data is right skewed.
Center:
The median of the set is at 14 pieces of spaghetti and the IQR is at 8 pieces of spaghetti.
Spread:
The quantitative data spreads from 7 pieces of spaghetti as the lowest number to 36 pieces of spaghetti as the highest number, including an outlier at 36 pieces of spaghetti.

7. Discussion
SHAPE:
The shape of the data does not look normal because the histogram is slightly right skewed.
The % Rule:
(9.56, 19.56) pieces of spaghetti = 57/77= 74.03%
(4.56,24.56) pieces of spaghetti = 75/77= 97.40%
(-.44,29.56) pieces of spaghetti = 76/77= 98.70%
Percent of data fallen within 1, 2, & 3 Std. Deviations from the mean:
Mean: pieces of spaghetti
Std. Dev.: 5.00 pieces of spaghetti
Based on the shape and the percentages above, the data is NOT normal. The percentages don't match up with the rule and the shape is not symmetric.

8. Gender Count: Female: 35 people Male: 42 people Percent:

9. Comparable Charts
HISTOGRAM
BOXPLOT

10. Summary stats by gender
Male
Mean
Std. 
Dev
Min Q1
Med Q3
Max
IQR
14.09
5.23 7 10 13 18 36 8
Summary stats by gender
Female
Mean
Std,
Dev
Min Q1
Med Q3
Max
IQR
15.11
4.73 7 12 14 19 25

11. Outlier Test for Gender
Male
1.5 x 8 = 12 A = 10 –12 = -2 B = = 30 (-2, 30) 36 spaghettis
Outlier Test for Gender
Female
1.5 x 7 = 10.5 A =12 –10.5 = -1.5 B = = 29.5 (-1.5, 29.5) No Outliers

12. The shape of the Male graph is right skewed and bimodal, while the shape for females is also right skewed but unimodal 
The center for the male graph is at a median of 13, which is lower than the center for the female graph at a median of 14
The IQR for the male graph is  8, while the female graph has an IQR of 7 
The range of the males is (7,36), while the female range is (7,25) 
The male graph contains one outlier at 36 spaghetti
Quantitative  Data

13. Does this have an effect?
By looking at the summary statistics, gender does not have an effect on our quantitative data. The medians of both male and female were nearly the same. The Q1 for females is 12 and Q3 is 19. For males, the Q1 is 10 and Q3 is 18.  The range for females was (7,25), while the range for males was (7,36). It seems like males have a much wider range, but the maximum for males was proved to be an outlier. So, the ranges for both gender is actually similar. The mean for females is and mean for males is Not counting the male outlier, it looks like females did a little bit better, but not to the point where we can see a clear difference.  

14. Throwing Sports Count: Yes: 26 people No: 51 people Percent's:

15. Comparable Charts
HISTOGRAM
BOXPLOT

16. Summary Stats Mean Std. Dev Min Q1 Med Q3 Max IQR 14.92 6.04 7 10 1418 36 8
Throwing Sport
Mean
Std. 
Dev
Min Q1
Med Q3
Max
IQR
14.37
4.44 7 10 13 17 25
Non-Throwing Sport

17. Outlier(s) @ 36 spaghetti's
Outlier Test
Throwing Sport
Non-Throwing Sport
1.5 x 7 = 10.5
A = 10 –10.5 = -.5
B = = 27.5
(-.5, 27.5)
1.5 x 8 = 12
A = 10 –12 = -2
B = = 30
(-2, 30)
36 spaghetti's
NO Outliers

18. Does this have an effect?
Based on our data, whether or not you play a throwing sport does not seem to have much of an effect on our quantitative data because the average of playing a throwing sport at spaghetti and the average of not playing a throwing sport at spaghetti are as little as a 1 spaghetti difference. The median's and IQR's are also only different by 1 spaghetti. Although the range of throwing sport spreads all the way to 36 spaghetti and the range of non-throwing sport only spreads to 25 spaghetti, this only occurs because of the outlier at 36 in throwing sports. The outlier is pulling all of the throwing sports data.

19. Arm Length Count: Short: 39 people Long: 38 people Percent:

20. Comparable Charts
HISTOGRAM
BOXPLOT

21. Summary stats by arm length
Short
Mean
Std. 
Dev
Min Q1
Med Q3
Max
IQR
14.46
5.57 7 10 14 18 23 8
Summary stats by arm length
Long
Mean
Std,
Dev
Min Q1
Med Q3
Max
IQR
14.66
5.47 7 10
13.5 18 36 8

22. Does this have an effect?
Based on our data, arm length seems to have little effect on our quantitative data. Short arms and long arms have very similar means and standard deviations. The mean for short arms is and the std. deviation is 5.57.  The mean for long arms is and the standard deviation is 5.47. Both have the same minimum of 7, Q1 of 10, Q3 of 18 and IQR of 8. The median are only different by .5. Short arms have a median of 14, while long arms have a median of 13.5. The max for short arms is 36, but that is the outlier. Overall, arm length has little to no effect on the data. 

23. Music Genre Count: Alt: 5 ppl. Classic Rock: 3 ppl. Classical: 2 ppl.
Country: 5 ppl.
Jazz: 1 ppl.
Pop: 24 ppl.
Rap: 34 ppl.
Rock: 3 ppl
Percent's
Alt: 6.49%
CR: 3.90%
Classical: 2.60%
Country: 6.49%
Jazz: 1.30%
Pop: 31.17%
Rap: 44.16%
Rock: 3.90%

24. Gender vs. Music Genre Alt C.R. Classical Country Jazz Pop Rap Rock
Total:
Female 4 1 3 16 11 35
Male 2 8 23 42 5 24 34 77
Alt
C.R.
Classical
Country
Jazz
Pop
Rap
Rock
Total:
Female
5.20%
1.30% 0%
3.90%
20.78%
14.29%
45.45%
Male
2.60%
10.39%
29.87%
54.54%
6.49%
31.17%
44.16%
100%

25. Female Male Alt: 11.43% C.R.: 2.86% Classical: 0% Country: 8.57%
Jazz: 0%
Pop: 45.71%
Rap: 31.43%
Rock: 0%
Male
Alt: 2.38%
C.R.: 4.76%
Classical: 4.76%
Country: 4.76%
Jazz: 2.38%
Pop: 19.05%
Rap: 54.76%
Rock: 7.14%

26. Does Gender have an effect on Music Genre?
Based on our data, it does seem that gender has an effect on peoples favorite music genres. Although Rap and Pop both seem to be the highest two chosen genres for both genders, we see differences in the other genres. For example, the next highest percentage for females is alternative at 11.43%, while for the males alternative is one of their lowest, with a percentage of 2.38%. Another example is the genre rock. For males, Rock was the 3rd highest percentage with the percentage at 7.14%, but for females, rock had a percentage at 0%, being one of the females least chosen genres.
Does Gender have an effect on Music Genre?

27. Favorite Food Count: Italian: 52 Mexican: 13 Chinese: 6 Indian: 3
Barbeque: 2 
American: 1 
Percent's
Italian: 67.53%
Mexican: 16.88%
Chinese: 7.79%
Indian: 3.89%
Barbeque: 2.60% 
American: 1. 30%

28. Gender vs. Favorite Food
Italian
Mex.
Indian
Chine.
Barbe.
Ameri.
Total:
Female 26 7 1 35
Male 6 2 5 42 52 13 3 77
Italian
Mex.
Indian
Chine.
Barbe.
Ameri.
Total:
Female
33.77%
9.09%
1.29%
45.45%
Male
7.79%
2.60%
6.49%
54.54%
67.53%
16.88%
3.90%
100%

29. Female
Italian: 74.29%
Mexican: 20% 
Chinese:  2.86% 
Indian: 2.86% 
Barbeque: 0% 
American: 0%
Male
Italian: 61.90%
Mexican: 14.29%
Chinese: 11.90%  
Indian: 4.76%
Barbeque: 4.76%
American: 2.38%

30. Does Gender have an effect on Favorite Food?
Based on our data, gender has little effect on favorite type of food. Italian food seems to be the most popular food choice % of females and 61.90% of males choose this over the other choices. The second most popular for both genders was Mexican food. 20% of females choose this, while 14.29% of males choose this. The third most popular type of food was Chinese. The males had a very low percentage for barbeque and American food, while 0% of females choose this. It seems that males have a wider range of preference, but not by a lot.
Does Gender have an effect on Favorite Food?

31. BIAS/ERROR Some students stood closer to the window than others
Some students threw more than one piece of spaghetti at a time
Some students had the bag of spaghetti that was fresher than the second bag, possibly making it more sticky
BIAS/ERROR

32. CONCLUSION Quantitative Data
The right skew of our data's histogram was no surprise, made sense with how many pieces of spaghetti we were expecting from people
The maximum of 36 pieces of spaghetti was very shocking, especially due to the fact that it is such a large outlier in our data
The average of pieces of spaghetti was no shock
CONCLUSION

33. CONCLUSION Quantitative Data – Gender
When comparing the histograms, it is evident that although on may be slightly more skewed than the other, they are both right skewed and unimodal, showing that gender didn't have much of an effect on our data
Throwing Sport
When comparing the summary stats, take the mean for example, the people who did play throwing sports had a mean of pieces of spaghetti, which was slightly higher than those who do not play of throwing sport, whose mean was pieces of spaghetti
This shows us that whether or not the person plays a throwing sport does have an effect on the data
CONCLUSION

34. Arm Length
When comparing the histograms of short arms vs long arms, we see that people with short arms have a more symmetrical set of data while people with long arms data is more right skewed
We also see that the means are only .20 pieces of spaghetti apart, long arms being .20 pieces of spaghetti more than those of short arms on average
This small difference shows us that arm length didn't have much of an effect
CONCLUSION

35. CONCLUSION Music Genre
11.43% of females chose alternative (one of the highest female percentages), while only 2.38% of males chose alternative (being one of the lowest male percentages)
0% of females chose rock (being one of the lowest female percentages), while 7.14% of males chose rock (being one of the highest male percentages)
These statistics show that gender did have a slight effect on peoples favorite music genres
CONCLUSION

36. Fav Food
Italian seems to be the most popular food choice for both males and females % of females choose Italian food, which is a little higher than males.
Only males choose barbeque and American food, but those were among the lowest percentages
Males and females had the same top three: Italian, Mexican, and Chinese 
Gender has little effect of food preference
CONCLUSION