Answer:
Mean = 0.17
Variance = 0.0068
Step-by-step explanation:
It is given in the question that the data is uniformly distributed, therefore the mean will be calculated using the formula
Mean = [tex]\frac{a+b}{2}[/tex]
here, a is the minimum value and b is the maximum value
for the data: 0.15, 0.16, 0.17, 0.18, and 0.19
a = 0.15
b = 0.19
Therefore,
Mean = [tex]\frac{0.15+0.19}{2}[/tex]
or
Mean = [tex]\frac{0.34}{2}[/tex]
or
Mean = 0.17
Variance = [tex]\frac{(b-a+1)^2-1}{12}[/tex]
or
Variance = [tex]\frac{(0.19-0.15+1)^2-1}{12}[/tex]
or
Variance = 0.0068
