Bob used a triangular distribution of T(20, 30, 61) to represent his daily commute time (minutes). Which statement is incorrect?
A)The distribution is right-skewed.
B)The mode of the distribution exceeds the mean.
C)The mean of the distribution is 37.
D)The midrange of the distribution is 40.5.

Question

Quizplus · Accepted Answer

The mode of a triangular distribution is equal to the highest value in the range, which is 61 in this case. The mean of a triangular distribution can be calculated as (a+b+c)/3, where a, b, and c are the minimum, maximum, and mode values, respectively. Plugging in the values, we get (20+30+61)/3 = 37. The midrange is calculated as (minimum+maximum)/2, which is (20+61)/2 = 40.5. The distribution is right-skewed because the highest value is also the mode, which is greater than the mean. Therefore, statement B is incorrect.

Bob Used a Triangular Distribution of T(20, 30, 61) to Represent