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 30th percentile.

Question

Quizplus · Accepted Answer

According to Tukey's fences rule, an observation is considered an outlier if it falls below the lower fence (Q1 - 1.5*IQR) or above the upper fence (Q3 + 1.5*IQR). In this case, the lower fence is 45 (70 - 1.5*(80-70)) and the upper fence is 105 (80 + 1.5*(80-70)). Since John's score of 35 is below the lower fence, he is considered an outlier. Therefore, choice B is correct.

John Scored 35 on Prof