Descriptive Statistics: %-grad on time Statistics Variable CollegeNMean %grad A
ID: 3072784 • Letter: D
Question
Descriptive Statistics: %-grad on time Statistics Variable CollegeNMean %grad A on tim SE StDey MinmMedia 03 Maximu Mean20 um 8 0 6096 423 1196 43 20 5005 63.75 71.70 73.80 0 7129 108 3.06 67 30 6945 7015 73.95 7670 0 65.18 293 828 54.505593 676572.72 74.80 7911 1.36| 385| 7410| 7535 7900| 8310| 8460 60.77 2085.89 S4505563 5915 65.907130 a -o lu7278393 11.121. 577 35 7200| 8442| 87N Boxplot of %-grad"on-time 90: 80. 50 College Question 2Compare and contrast the distributions of the graduation rates at the different colleges. Be sure to address center, spread and outliers Center: Medians: A-63.75. B-70-15, C-67.65, D-79.00, E-59. 15, F-84.42 Spread: Outliners there is no outiners Question 2ilf you had to choose one college among the six colleges based on this data, which college would it be? Explain your reasoning I think that college D will be the best to choose because it has the highest mean Question Biff you were debating between colleges 8 and F only, which one would you choose based on this data? Explain your reasoning would choose collese B because the range and thExplanation / Answer
Q1 From the Boxplot and descriptive statistics table.
The measures of center we choose is median since the distribution of the data is skewed. Therefore median is the good choice of measure of center.
Median grade(%) of different colleges are given by:
A:63.75
B:70.15
C:67.65
D:79.00
E:59.15
F:72.00
College D has the highest median grade percentage while College E has the smallest median.
Since the Data is skewed we choose inter quartile range(IQR) as a measure of spread.
College IQR
A 71.70-50.05=21.65
B 73.95-69.45=4.5
C 72.72-55.93=16.79
D 83.10-75.35=7.75
E 65.90-55.63=10.27
F 84.42-62.35=22.07
College F has the higher measure of spread than other while the college B grade percentage has lower spread.
There are no outliers in the data of the different colleges.
Q2. College D will be the best to choose because it has highest mean and median.
Q3. To choose between B and F we will choose college B since it has the lower spread. While there is no more difference between the center.