Answers and Step-by-step explanations:
a)
According to the question, the college that has one of the lowest medians and least consistence in the graduation rates is defined as worst college.
From the provided side by side boxplots, college A has one of the lowest medians. Moreover, the difference between the first and third quartile is much higher than the other colleges. That is, IQR is high for this college. Therefore, there is least consistence in graduation rate.
Hence, the correct answer choice is 'A'
b)
According to the question, the college that has highest median and fair consistence in the graduation rates is defined as best college.
From the provided side by side boxplots ,college D has the highest median. Moreover, the difference between the first quartile and the median is same as the difference between the first quartile and the median. Therefore, there is a fair consistence in graduation rate.
Hence, the correct answer choice is D.
c)
According to the question, the college has the the lowest median and best consistence in graduation rates.
From the provided side by side boxplots ,college B has the lowest median. Moreover, the difference between the first and third quartile is much lower than the other colleges. That is, IQR is low for this college. Therefore, there is a least consistence in graduation rate.
Hence, the correct answer choice is B.
d)
According to the question, the college has the highest graduation rates in one year and inconsistent graduation rates over years and has second largest IQR and range.
From the provided side by side boxplots ,college F has the highest median. Moreover, the graduation rate of other year not form a proper boxplot due to inconsistence in the graduation rate. Therefore, there is an inconsistence in graduation rate.
Hence, the correct answer is F
e)
According to the question, the college has the lowest median and fairly consistent low graduation rates.
From the provided side by side boxplots, college E has the lowest median. Moreover, the difference between the first and third quartile is higher than college B and D. That is, IQR is higher than college B and D. The graduation rate for all the years is low as compared to other colleges. Therefore, there is a fairly consistent low graduation rate.
Hence, the correct answer choice is E
