Find the value of the interquartile range


Discuss the below:

Q1. Grades: Test scores: Clayton and timothy took different sections of Introduction to Economics. Each section had a different final exam. Timothy scored 83 out of 100 and had a percentile rank in his class of 72. Clayton scored 85 out of 100 but his percentile rank in his class was 70. Who performed better with respect to the rest of the students in the class, Clayton or Timothy? Explain. Obvious Timothy ranked better but I cannot explain these please help. Thank you

Q2. Sociology High school dropouts;

What percentage of the general u.s. population are high school dropouts: the statistical abstract of the United States 120th edition, give the percentage of hgh school dropouts by state. For convenience, the data are sorted in increasing order.

5 6 7 7 7 7 8 8 8 8
8 9 9 9 9 9 9 9 10 10
10 10 10 10 10 10 11 11 11 11
11 11 11 11 12 12 12 12 13 13
13 13 13 13 14 14 14 14 14 15

Make a box and whisker plot and find the interquartile range.

Wyoming has a dropout rate of about 7%.. Into what quartile does this rate fall:

Q3. Outliers
Lower limit Q1 - 1.5 x (1QR)
Upper limit Q3 + 1.5 x (1QR)

Students from a statistics class werte asked to record their heights in inches, the heights are as follows
65 72 68 64 60 55 73 71 52 63 61 74
69 67 74 50 4 75 67 62 66 80 64 65

Make a box and whisker plot of the data

Find the value of the interquartile range (1QR)

Multiply the 1QR by 1.5 and find the lower and upper limits.

Are thee any data values below the lower limit: above the upper limit?

List any suspected outliers. What might be some explanations for the outliers:

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Basic Statistics: Find the value of the interquartile range
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