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“Minute to Win It!”. Introduction. Our project dealt with seeing how many quarters a student could toss into a jar within one minute. After one minute, the student was no longer able to toss quarters into the jar and we then counted the number of quarters they made into the jar.
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“Minute to Win It!”
Introduction • Our project dealt with seeing how many quarters a student could toss into a jar within one minute. • After one minute, the student was no longer able to toss quarters into the jar and we then counted the number of quarters they made into the jar. • We recorded the variables of gender, eye color, hair color, number of quarters made into the jar.
Quantitative • Gender • Eye Color Categorical • Partner • Gender • Eye Color • Hair Color • Gender v. Eye Color Conclusion
Histogram Boxplot
Summary Stats Mean: 4.97 quarters Std. Dev.: 2.90 quarters Min: 1 quarter Q1: 2 quarters Med: 5 quarters Q3: 7 quarters Max: 11 quarters IQR: 5 quarters
#3. #4. • No Outliers:Q1-(1.5 x IQR)2-(1.5 x 5)-5.5Q3+(1.5 x IQR)7+(1.5 x 5)14.5(-5.5,14.5) quarters = accepted range • Shape: Right Skewed and UnimodalCenter: Center @ Median=5 quarters and IQR=5 quartersSpread: Range = (1,11) with no outliers #5. No, it is not a normal a normal curve because it is right skewed.1 Std. Dev. (2.07-7.87) = 47.06%2 Std. Dev. (-0.83,10.77) = 97.06%3 Std. Dev. (-3.73,13.67) = 100%
Female Mean: 3.69 quarters Std. Dev.: 2.62 quarters Min: 1 quarter Q1: 2 quarters Med: 2 quarters Q3: 5 quarters Max: 9 quarters IQR: 3 quarters Count: 13 quarters Male Mean: 5.76 quarters Std. Dev.: 2.83 quarters Min: 1 quarter Q1: 4 quarters Med: 5 quarters Q3: 7 quarters Max: 11 quarters IQR: 3 quarters Count: 21 quarters
#3. • Shape: The shape for the females was right skewed whereas the shape for the males was symmetrical. Both were unimodal.Center: The median of the female’s data was 2 quarters which was lower than the median of the male’s data at 5 quarters. The IQR of the female’s data was 3 quarters which was equal to the IQR of the male’s data also at 3 quarters.Spread: The range for the female’s data was (1,9) quarters which is narrower that the range for the male’s data at (1,11) quarters. Neither of the sets of data had any outliers. #4. • Yes, we believe that gender had a slight effect on our data because overall the males did slightly better than the females in this sample. However, this was a relatively small sample so with a larger sample size we would have gotten more accurate results.
Black Brown Mean: 5 quarters Count: 1 quarters Std. Dev.: 0 quarters Min: 5 quarter Q1: 5 quarters Med: 5 quarters Q3: 5 quarters Max: 5 quarters IQR: 0 quarters Mean: 5.38 quarters Count: 13 quarters Std. Dev.: 3.12 quarters Min: 1 quarter Q1: 2 quarters Med: 5 quarters Q3: 8 quarters Max: 11 quarters IQR: 6 quarters Blue Mean: 4.33 quarters Count: 12 quarters Std. Dev.: 2.67 quarters Min: 1 quarter Q1: 2 quarters Med: 4 quarters Q3: 6 quarters Max: 10 quarters IQR: 4 quarters
Green Hazel Mean: 5.5 quarters Count: 2 quarters Std. Dev.: 4.95 quarters Min: 2 quarter Q1: 2 quarters Med: 5.5 quarters Q3: 9 quarters Max: 9 quarters IQR: 7 quarters Mean: 4.25 quarters Count: 4 quarters Std. Dev.: 2.63 quarters Min: 2 quarter Q1: 2 quarters Med: 4 quarters Q3: 6.5 quarters Max: 7 quarters IQR: 4.5 quarters Grey Mean: 7 quarters Count: 2 quarters Std. Dev.: 4.24 quarters Min: 4 quarter Q1: 4 quarters Med: 7 quarters Q3: 10 quarters Max: 10 quarters IQR: 6 quarters
#3. • No, we believe that the categorical variable of eye color does not have a significant effect on the number of quarters tossed in the jar. The data was all fairly similar for the most part, however, our results could have been more accurate if we had a larger sample size to work with.
Gender: Bar Graph 61.76% 38.24%
Eye Color: Bar Graph 39.24% 35.29% 11.76% 5.88% 5.88% 2.94%
Hair Color: Bar Graph 58.82% 20.59% 17.65% 2.94%
Gender v. Eye Color Male Female Total Black 0 1 1 Blue 8 4 12 Brown 7 6 13 Green 1 1 2 Grey 2 0 2 Hazel 3 1 4 Total 21 13 34 Male Female Total Black 0.00% 2.94% 2.94% Blue 23.53% 11.76% 35.29% Brown 20.59% 17.65% 38.24% Green 2.94% 2.94% 5.88% Grey 5.88% 0.00% 5.88% Hazel 8.82% 2.94% 11.76% Total 61.76% 38.24% 100.00% Male Female Total Black 0.00% 7.69% 2.94% Blue 38.10% 30.77% 35.29% Brown 33.33% 46.15% 38.24% Green 4.76% 7.69% 5.88% Grey 9.52% 0.00% 5.88% Hazel 14.29% 7.69% 11.76% Total 100.00% 100.00% 100.00%
Conclusion • We believe that our results and conclusions could have been more accurate if we had a larger sample size • While our results told us that gender plays a small role in one’s ability to toss quarters into a jar, we believe that eye color and partner do not.