The five-number summary below shows the grade distribution of a STAT 200 quiz fo

ID: 3325843 • Letter: T

Question

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

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?

20 45 65 75 100 0 10 20 30 40 50 60 70 80 90 100

Solution:-

a) the mini in the grade distribution:- minimum value = 20

(b)

Quarter Spread

Q1 45 - 20 =25

Q2 65 - 45 = 20

Q3 75 - 65 = 10

Q4 100 - 75 = 25

The smallest spread data is 10.

c) IQR = Q3 - Q1 = 75 - 45 = 30

d) based on the diagram more students are in 45-65

e) all scores are the calculated in the average.so Average cannot be find out.

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