tailieunhanh - A textbook of Computer Based Numerical and Statiscal Techniques part 48

A textbook of Computer Based Numerical and Statiscal Techniques part 48. By joining statistical analysis with computer-based numerical methods, this book bridges the gap between theory and practice with software-based examples, flow charts, and applications. Designed for engineering students as well as practicing engineers and scientists, the book has numerous examples with in-text solutions. | 456 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Sol. Multiple Bar Diagram 160 -i 140 - 120 100 80 - 60 40 20 0 13 Sales 000 Rs. Gross Profit 000 Rs. Net Profit 000 Rs. 12 3 4 FIG. Example 6. Present the following data by a suitable diagram showing the sales and net profits of private industrial companies. Year Sales Net Profits 1995-1996 14 49 1996-1997 10 -25 1997-1998 13 -1 Sol. FIG. ONE DIMENSIONAL DIAGRAM In one dimensional diagram magnitude of the observations are represented by only one of the dimension. . height length of the bars while the widths of the bars is arbitrary and uniform. STATISTICAL QUALITY CONTROL 457 TWO DIMENSIONAL DIAGRAMS In two dimensional diagrams the magnitude of given observations are represented by the area of the diagram. Thus the length as well as width of the bars will have to be considered. It is also known as are diagram or surface diagram. Some two dimensional diagrams are a Rectangles Diagram A rectangle is a two dimensional diagram because area of rectangle is given by the product of its length and widths. . length and width of the bars is taken into consideration. Example 7. Represent the following data on detail of cost of the two commodities by the rectangular diagram. Details Commodity A Commodity B Price per unit Rs. 4 Rs. 5 Quantity sold 40 units 30 units Value of raw material Rs. 52 Rs. 50 Other expenses of production Rs. 64 Rs. 60 Profits Rs. 44 Rs. 40 Sol. Let us calculate the cost of material other expenses and profit per unit. Commodity A Commodity B 40 units 30 units Items Total Rs. Per Unit Rs. Total Rs. Per Unit Rs. Value of raw material 52 50 Other expenses of production 64 60 Profits 44 40 Costs and Profits per unit of Commodity A B Profits Other expenses Value of raw material Items FIG. b Square Diagram It is specially useful if it is desired to compare graphically the values or quantities which differ widely from one another. The method of drawing