Answer: The mean of the data is 433.75, variance of the data is 99667.19 and the standard deviation of the data is 315.7011.
Explanation:
The given data is 900, 35, 500 and 300.
The number of observation is 4.
Formula of mean is,
[tex]\text{Mean}=\frac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
[tex]\bar{X}=\frac{900+35+50+300}{4} =433.75[/tex]
The formula of variance is given below,
[tex]\sigma^2=\frac{1}{n}\sum{(X-\bar{X})^2}[/tex]
[tex]\sigma^2=\frac{398668.75}{4}[/tex]
[tex]\sigma^2=99667.19[/tex]
The variance of the data is 99667.19
[tex]\sigma=\sqrt{99667.19}[/tex]
[tex]\sigma=315.7011[/tex]
The standard deviation of the data is 315.7011.
The other information or values of given chart is shown in the attached table.
