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Midterm 1

# Midterm 1 - Louise Yoo May 4 2011 Statistics 13 Discussion...

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Louise Yoo May 4, 2011 Statistics 13 Discussion 13C 703-789-101 Midterm 1 Question 1 (a) How many students are represented in the data set enroll? 11731 students are represented in the data set enroll. (b) Create barplots of numclasses, numdays, and minhour and comment on what you see. What are the typical values? Are there any data points that are surprising? Barplot of the Number of Classes From looking at the barplot, I can state that the majority of students took three classes during Winter quarter. The next most common number of classes taken would be four classes. The me- dian is 3 classes and the mean comes out to be 3.27. As shown, the minimum number of classes taken was one class while the maximum was 9 classes. The shape of the barplot is not necessar- ily the typical nice standard bell curve, rather, there is a skew towards the right as after three and four classes, the number of students taking five or more dramatically dwindles down; there is a big difference. Overall, the most typical values would be three or four classes with the next the most common being two classes. The results of the barplot was not surprising because the aver- age student takes about three classes per quarter. Barplot of the Number of Days

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The typical values of this barplot would be that most students are on campus all five days of the week. As shown on the barplot above, the bar for being on campus five days of the week is signi- ficantly the highest, followed by the next highest value of four days of the week. The barplot shows to be increasing from being on campus only one day of the week to all five days of the week. Rather than a standard bell-curve, one can see a consistent increase to the right as the number of days increase, so do the number of students. The median of the barplot is five days of the week with the mean being 4.245. The minimum number of days a student is on campus is one day and the maximum, which is also the most common, is all five days. There aren’t any data points that are surprising because it is highly likely that with the average of there classes, one will have to be on campus five days of the week. Barplot of the Minimum Hour The barplot above shows that the most typical earliest hour that students have class in the week is at nine. There is a significantly noticeable peak at nine followed by the next earliest class of
the week eight. The median of the barplot is at nine and the mean is 9.484. Similar to the shape of the barplot for the number of classes taken for the Winter quarter, this barplot is not the stand- ard nice bell curve, rather there is a skew to the right as after the most typical hour, nine, the val- ues decrease as the times increase. Starting from the peak at nine, the barplot shows a consistent decrease to the right. On the left of the peak at nine, there is also a decrease effect; however, the decrease is more abrupt and sudden as it drops from its next highest value of eight, to barely any students for six or seven. The minimum earliest hour for a class in the week was at six while the maximum hour was three. There were not any surprising data points as there are many classes

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