John scored 35 on Prof. Johnson's exam (Q₁ = 70 and Q₃ = 80). Based on the fences, which is correct? A)John is unusual but not an outlier. B)John is an outlier. C)John is neither unusual nor an outlier. D)John is in the 30^th percentile.

Question

Quizplus · Accepted Answer

Based on the fences, any value that falls below Q1-1.5(IQR) or above Q3+1.5(IQR) is considered an outlier. In this case, Q1=70 and Q3=80, so the IQR is 80-70=10. Therefore, the lower fence is 70-1.5(10)=55 and the upper fence is 80+1.5(10)=95. Since John's score of 35 is lower than the lower fence of 55, he is considered an outlier.

John Scored 35 on Prof