Question

he following set of data is from a sample of

n equals =6.

7

4

2

7

1

13

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

	x	(x-xbar)^2
	7	1.777777778
	4	2.777777778
	2	13.44444444
	7	1.777777778
	1	21.77777778
	13	53.77777778
sum	34	95.33333333
mean	5.666666667
xbar	sum(x)/n	5.666666667
var	(sum(x-xbar)^2/n-1)	19.06

Ansa:

mean=5.66

median=middle most value of data

median=5.5

#arrage the data in increasing order middle most value of x is meddian

=((n/2)+(n/2)+1)/2

=3rd+4th value/2

=(4+7)/2=11/2=5.5

mode.=7

Ansb:

range=Max-minimum

=13-1

=12

variance=19.06

standard deviation=sqrt(vaiance)

=sqrt(19.06)

=4.37

Ansc:

Z-score

x	Z=(x-mean)/std
7	0.304347826
4	-0.38215103
2	-0.839816934
7	0.304347826
1	-1.068649886
13	1.677345538

#there are no outlier in the data data are lies between (-3 to3)

Ansd:

#hence mean > median hence shape distribution is positively skewed