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QUESTION 3 For the 8 ages of the Supreme CourtJustices given in problem #2, the

ID: 3068145 • Letter: Q

Question

QUESTION 3 For the 8 ages of the Supreme CourtJustices given in problem #2, the IQR (interquartile Range) is QUESTION 4 Referring to the same 8 ages of Supreme Court Justices in problem #2: two of the ages are somewhat "extreme-50 (Neil Gorsuch) and 85 (Ruth Bader Ginsburg). Which of these is/are outliers according to the 1.5xIQR rule? ("IQR" "Interquartile Range"). For this problem, you must identify the quartiles, find the IQR and check to see if 50 is BELOW the value Q11.5xlQR and if 85 is ABOVE Q3 +1.5xIQR. I recommend you use your calculator to find the needec statistics. A Neither 50 nor 85 is an outlier 50 qualifies as an outlier but 85 does not Both 50 and 85 are outliers D.85 qualifies as an outlier but 50 does not

Explanation / Answer

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2. The median age is basically the 50th percentile or the mid of the 2 values if there
are even number of obs.

So, Median = (64+70)/2 = 67

4.

Q1 boundry is basically the 2nd out of 8 numbers = 58
Q3 boundry is basically the 6th out of 8 numbers = 79
So, IQR = Q3-Q1 = 79-58 = 21
The outlier will be Q1-1.5IQR = 58-1.5*21 = 58-31.5 = 26.5
The outlier will be Q3+1.5*IQR = 79+1.5*21 = 79+31.5 = 110.5

So,both 50 and 85 fall between 26.5 and 110.5 and hence neither of them are outliers

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