The number of hours worked by 24 employees of acompany is given below:
40 43 40 39 36 44 40 39 39 52 27 50
41 47 40 48 38 36 25 41 35 36 16 40
(a) (6 points) Calculate the mean, variance and standard derivationfor the given data
(b) (6 points) Calculate the three quartiles (Q1, Q2, and Q3) andthe Interquartile range
(IQR)
(c) (4 points) Calculate the values of the lower fence and theupper fence for a boxplot.
(d) (5 points) Construct a box-and-whisker plot. Comment on theshape of the distri-
bution of the data. List any potential outliers, if any
