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Frequency Fr) 03 Frequency (us Pererstage (4) 2 1520 (5) 2 (6) 002 2 2 21 0.3286 126 19 0.2714 27.14 30.15 14 0 2000 20.00 58 35-40 5 0.0714 7.14 60 40-45 4 0.0571 5.71 7 45-50 3 0.049 20 Tocal 1.0000 100.00 Doc advantage of using relative frequency distribution is that it helps in comparing two frequency distribution (with same class intervals) It is also the basis of empical probability. The topic of Probability is the subject matter of Uit 13 and Unit 14 of this counc in the volume. The following complete ration Table : Bivariate Frequency Distribution of Sales and Profit 300 Companies Sales NIKA lakhs) Lpte 10 10-20 Profit (hi in toandu) 20-50 50-100 100-200100 Tual (1) (2) (5) (6) (5) 10 Upto 1 21-2 13 12 12 19 1 25 15 20 10 3 4 4 5-10 2 8 15 5 10 20 5 10-20 2 12 4 9 8 13 6 20 and! mond 2 2 2 Tocal 25 20 65 20 8 YO The above bivariate frequency table is prepared on the basis of cules and profit data of 200 companies. As discussed cartace, class limits for both Sales and Profit are decided first. Tally marks are placed in appropriate row and column (not shown here). Suppose a company's Sales and profit figures are Ri 23 lakha and Rs 49000 respectively. It is placed in class For Sales (2 to 3 m) and Columna (5) showing class interval of prolit 20 to 50 thousands The Last column (Column (9) gives the local over all class intervals of Profit. Hence it prves the frequency distributioh of Sales. The frequency distributica in this column is known as Marginal Frequency distribution of Sales Sattilarly, the dhe summing up over all the class e larthe risk free rate is 10 at while the market return is cxpected to be percent Using this dal pricing of the purities can be examined. Where E(R)-R(ER) - RM Formecurity AE(R) - 106(18-10) 10 12.8 IMG_20210510_201303 22.5 per cent