Range, Width, min-max Values and Graphs

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.

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

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

Width= Range/The Number of Classes

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

(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

Line Graph With One Variable

Line Graphs With two Variables

Bar Graph

Bar Graph With One Variable

Bar Graph With Two Variables

Pie Chart

Static Relation Between Two Variables (Scatter Graph)

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

Strong estimation Week estimation