Question

The following is a set of data from a sample of n equals 5 n=5. 10,2,1,6,3    a. Compute the​ mean, median, and mode. b. Compute the​ range, variance, standard​ deviation, and coefficient of variation. c. Compute the Z scores. Are there any​ outliers? d. Describe the shape of the data set.

Answer 1

a)

mean =4.4

median =middle value in ascending order =3
model =none of the above (as each value appear exactly once)

b)range =max-min =10-1 =9

varaince =s^2 =13.30
standard deviation =s =3.6469

coefficient of variation =(s/x)*100 =(3.6469/4.4)*100 =82.88 %

c)

below are the z scores:

X	z score=(x-mean)/s
10	1.72
2	-0.74
1	-1.04
6	0.49
3	-0.43

d)

the data appears to be right skewed.