1. Range, Width, min-max Values and Graphs

2. Let us assume that we have 20 workers and they are installing different number of (let us say cars) weekly. Each worker assemble different numbers. Let us find the min-max numbers, range, width of the distribution. The let us draw the the histogram of the distribution.

9. The minimum value is 20 cars and the maximum value is 40 cars
Range=highest value – Lowest Value
Range is 40-20=20 into interval scale.
İn order to find the width we need to classify the observations

14. Number of Cars
Frequency
20-25 4
26-30 5
31-35 2
36-40 9
Total 20

15. Width= Range/The Number of Classes

16. The Percentage and Cumulative
Number of Cars
Frequency
Percentage
Cumulative
20-25 4 20
26-30 5 25 45
31-35 2 10 55
36-40 9
100
Total --
Let us calculate The Weekly Average
We need the middle value for each classes
(20+25)/2=22,5
(26+30)/2=28
(31+35)/2=33
(36+40)/2=38

17. (22,5x0.2)+(28x0.25)+(33x0.10)+(38x0.45) = 31.9 = 32 Cars
Number of Cars
Mid Classes
Frequency
Percentage
Cumulative
20-25
22,5 4 20
26-30 28 5 25 45
31-35 33 2 10 55
36-40 38 9
100
Total --
(22,5x0.2)+(28x0.25)+(33x0.10)+(38x0.45) = 31.9 = 32 Cars

18. Line Graph With One Variable

25. Line Graphs With two Variables

31. Bar Graph

32. Bar Graph With One Variable

39. Bar Graph With Two Variables

46. Pie Chart

55. Static Relation Between Two Variables (Scatter Graph)

56. Suppose we have 15 consumers; their monthly income and consumptions are given in the table

62. Strong estimation
Week estimation