Respuesta :
Answer:
Mean= 0.17 millimetre and
variance = 2×10⁻⁴ square millimetre
Step-by-step explanation:
Mean: The average of all numbers is also known as mean.
[tex]Mean=\frac{\textrm{Sum of all number}}{\textrm{total number}}[/tex]
Standard deviation: It is quantity which shows that the element of data how much differ from the mean of the distribution.
Given data
0.15,0.16,0.17,0.18 and 0.19.
This is a discrete uniform distribution.
Uniform distribution: All element of uniform distribution is likely.
The elements discrete uniform distribution can be written as [a,b]
The mean of uniform distribution is = [tex]\frac{a+b}{2}[/tex]
And variance = [tex]\frac{(b-a+1)^2-1}{12}[/tex]
Here , a= 15 and b= 19
Mean= [tex]\frac{1}{100} \times \frac{15+19}{2}[/tex] =0.17
Variance= [tex](\frac{1}{100}) ^2\times \frac{(19-15+1)^2-1}{12}[/tex]
= 2×10⁻⁴
