The triangular distribution T(10, 20, 50) has a standard deviation of:
A)9.498.
B)9.225.
C)8.498.
D)7.710.

Question

Quizplus · Accepted Answer

The standard deviation of the triangular distribution T(a, b, c) is given by the formula:

SD = √[(a² + b² + c² - ab - ac - bc) / 18]

For T(10, 20, 50), we have:

SD = √[(10² + 20² + 50² - 10×20 - 10×50 - 20×50) / 18]
SD = √[(100 + 400 + 2500 - 200 - 500 - 1000) / 18]
SD = √[1300 / 18]
SD ≈ 8.498

Therefore, the best choice is C, with SD ≈ 8.498.

The Triangular Distribution T(10, 20, 50) Has a Standard Deviation