Question

Find the mean and standard deviation for each uniform continuous model. (Round "Mean" answers to 1 decimal place and "Standard deviation" answers to 4 decimal places.)

Find the mean and standard deviation for each uniform continuous model. (Round "Mean" answers to 1 decimal place and "Standard deviation" answers to 4 decimal places.)

		Mean	Standard deviation
a.	U(3, 12)
b.	U(80, 250)
c.	U(4, 93)

Answer 1

a)

Here, the given values of lower limit, a = 3 and upper limit, b = 12
For Uniform distribution,
Mean = (a + b)/2
Mean = (3 + 12)/2 = 7.5

Standard Deviation = sqrt((b - a)^2/12)
Standard Deviation = sqrt((12 - 3)^2/12 = 2.5981

b)

Here, the given values of lower limit, a = 80 and upper limit, b = 250
For Uniform distribution,
Mean = (a + b)/2
Mean = (80 + 250)/2 = 165.0

Standard Deviation = sqrt((b - a)^2/12)
Standard Deviation = sqrt((250 - 80)^2/12 = 49.0748

c)

Here, the given values of lower limit, a = 4 and upper limit, b = 93
For Uniform distribution,
Mean = (a + b)/2
Mean = (4 + 93)/2 = 48.5

Standard Deviation = sqrt((b - a)^2/12)
Standard Deviation = sqrt((93 - 4)^2/12 = 25.6921