ceo age salary\n1 53 145\n2 43 621\n3 33 262\n4 45 208\n5 46 362\n6 55 424\n7 37 300\n8 41 339\n9 55 736\n10…

Explanation:

Step1: Calculate sum of ages

Sum of ages = (53 + 43+33 + 45+46+55+37+41+55+36+45+55+50+49+47+69) = (751)

Step2: Calculate number of data - points

Number of CEOs (n = 16)

Step3: Calculate mean age

Mean age (\bar{x}=\frac{751}{16}=46.9375)

Step4: Arrange ages in ascending order

(33,36,37,41,43,45,45,46,47,49,50,53,55,55,55,69)

Step5: Calculate median age

Since (n = 16) (even), median is the average of (\frac{n}{2})th and ((\frac{n}{2}+ 1))th ordered values. (\frac{n}{2}=8) and (\frac{n}{2}+1 = 9). Median age=(\frac{46 + 47}{2}=46.5)

Step6: Calculate sum of salaries

Sum of salaries = (145+621+262+208+362+424+300+339+736+291+58+498+643+390+332+750) = (5427)

Step7: Calculate mean salary

Mean salary (\bar{y}=\frac{5427}{16}=339.1875)

Step8: Arrange salaries in ascending order

(58,145,208,262,291,300,332,339,362,390,424,498,621,643,736,750)

Step9: Calculate median salary

Since (n = 16) (even), median is the average of (\frac{n}{2})th and ((\frac{n}{2}+1))th ordered values. (\frac{n}{2}=8) and (\frac{n}{2}+1 = 9). Median salary=(\frac{339+362}{2}=350.5)

Step10: Analyze skewness of salaries

The mean ((339.1875)) is less than the median ((350.5)). So the data is skewed left.

Answer:

(a) (46.9375) (b) (46.5) (c) (339.1875) (d) (350.5) (e) Skewed left