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The five-number summary below shows the grade distribution of a STAT 200 quiz for a sample of 500 students.

The five-number summary below shows the grade distribution of a STAT 200 quiz for a sample of 500 students.

20 45 65 75 100

Answer each question based on the given information, and explain your answer in each case.

(a) What is the minimum in the grade distribution?

(b) Which quarter has the smallest spread of data? What is that spread?

(c) Find the interquartile range in the grade distribution.

(d) Are there more students in the score band of 45- 65 or 65 – 85? Why?

(e) Can the average score be determined based on the given information? Why or why not?

 
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