bus-stat-book1

Of family 21 35 56 74 63 40 29 14 solution frequency

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Unformatted text preview: Wages (in Rs.)5000 6000 Monthly 4000 Monthly Wages in Rs. 7000 8000 5.6.4 Ogives: For a set of observations, we know how to construct a frequency distribution. In some cases we may require the number of observations less than a given value or more than a given value. This is obtained by a accumulating (adding) the frequencies upto 85 (or above) the give value. This accumulated frequency is called cumulative frequency. These cumulative frequencies are then listed in a table is called cumulative frequency table. The curve table is obtained by plotting cumulative frequencies is called a cumulative frequency curve or an ogive. There are two methods of constructing ogive namely: 1. The ‘ less than ogive’ method 2. The ‘ more than ogive’ method. In less than ogive method we start with the upper limits of the classes and go adding the frequencies. When these frequencies are plotted, we get a rising curve. In more than ogive method, we start with the lower limits of the classes and from the total frequencies we subtract the frequency of each class. When these frequencies are plotted we get a declining curve. Example 15: Draw the Ogives for the following data. Class interval Frequency 20-30 4 30-40 6 40-50 13 50-60 25 60-70 32 70-80 19 80-90 8 90-100 3 Solution: Class Less than More than limit ogive ogive 20 0 110 30 4 106 40 10 100 50 23 87 60 48 62 70 80 30 80 99 11 86 90 100 107 110 3 0 Cumulative frequency Ogives 120 110 100 90 80 70 60 50 40 30 20 10 0 x axis 1cm = 10 units y axis 1 cm = 10 units Y 20 30 40 50 60 70 80 90 100 X Class limit 5.6.5 Lorenz Curve: Lorenz curve is a graphical method of studying dispersion. It was introduced by Max.O.Lorenz, a great Economist and a statistician, to study the distribution of wealth and income. It is also used to study the variability in the distribution of profits, wages, revenue, etc. It is specially used to study the degree of inequality in the distribution of income and wealth between countries or between different periods. It is a percentage of cumulative values of one variable in combined with the percentage of cumulative values in other variable and t...
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This note was uploaded on 01/18/2014 for the course BUS 100 taught by Professor Moshiri during the Winter '08 term at UC Riverside.

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