Answer with Step-by-step explanation:
There is a set of 100 observations with a mean of 40 and a standard deviation of 0.
standard deviation=0
means that variance=0 (since, variance=square of standard deviation)
now, variance is calculated as sum of the square of deviations of all the data points from the mean
i.e. if x1,x2,...xn are n observations, then
[tex]\dfrac{(x1-mean)^2+(x2-mean)^2+...(xn-mean)^2}{n}[/tex] is the variance
since variance is zero means that each of [tex](xi-mean)^2[/tex] is zero
i.e. xi=mean for each i=1,2,...n
Hence here each of the observation is equal to mean=40
Hence, the value of the smallest observation in the set is:
40
