Business Statistics

Business Statistic

Create a stem and leaf plot of the data Stem And Leaf Diagram

Minutes Tenths

Units 0 5 ,5

1 0 ,0 ,2 ,5 ,5 ,5 ,5 ,5 ,6

2 0 ,0 ,0 ,0 ,0 ,4 ,5 ,5

3 0 ,0

4 0

5 0 2 5 means 25 minutes

Create a frequency distribution using bin range : 10 ,20 ,30 ,40 and 50

Bin Frequency Classes 10 4 1 To 10

20 12 11 To 20

30 5 21 To 30

40 1

31 To 40

50 1 41 To 50 Create a combined Histogram-ogive of the data and also create a frequency polygon

Histogram-ogive

Frequency Polygon

Class Midpoints Frequency Cumulative 0 -4 .5 0 0

1 To 10 5 .50 4 17 .39

11 To 20 15 .5 12 69 .57

21 To 30 16 .5 5 91 .30

31 To 40 35 .5 1 95 .65

41 To 50 45 .5 1 100 .00

More 55 .5 0 100 .00 Table for part C

Answer These questions

Mean : 19 .87

Median : 20

Mode : 15

Mid Range : 27 .5

Standard Deviation : 10 .489

Interquartile Range : 9 .5

Co-efficient of Variance : 52 .79 or 0 .5279

Sum : 457

Box Plot

What type of symmetry does the data show ? Left , Bell or right

The symmetry is positive or skewed to the right

List any outlier values in this data

40 ,50

Explain your answer in Question 3

40 and 50 are outliers because they lie more than 1 .5 IQR from the Upper Quartile . It lies outside the inner fence which is from 0 .75 to 38 .75

List any extreme values in this data

There are no extreme values

Explain your answer in 5

There are no extreme values because of the values in the data set lie outside the outer fence , that is 3 IQR from both upper and lower quartile . The outer fence is from -13 .5 to 53

What percentage of students live less than 11 minutes from school

17 .39

What percentage of students live more than 30 minutes from school

8 .7

Reference

1 . Weiss , N .A (2004 . Introductory statistics . Addison-Wesley

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Business Statistic...