11-Unit11

Of persons 10 20 40 65 50 15 5 since 65 is the

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Unformatted text preview: 34 5 Since 65 is the highest frequency its size is taken as mode Mode = 31 Calculation of Mode Using Grouping Table and Analysis Table To make Grouping Table 1. Group the frequency in two 2. Frequencies are grouped in two leaving the first frequency. 3. Group the frequency in three 4. Frequencies are grouped in three leaving the first frequency. 5. Frequencies are grouped in three leaving the first and second frequency. To make Analysis Table 1. Analysis table is made based on grouping table. 2. Circle the highest value of each column. 3. Assign marks to classes, which constitute the highest value of the column. 4. Count the number of marks. 5. The class with the highest marks is selected as the model class. 6. Apply the interpolation formula and find the mode. Mode = L1 + (f1 – f0 / 2f1-f0-f2) X C L1 = Lower limit of the model class f1 = frequency of the model class Sikkim Manipal University Page No. 183 Research Methodology Unit 11 f0 = frequency of the class preceding the model class f2 = frequency of the class succeeding the model class C = class interval Illustration Find mode for the following data using grouping table and analysis table. Expenditure 0-20 40-60 60-80 80-100 100-120 120-140 14 No. of families 20-40 15 27 13 12 17 2 Grouping Table Class Frequency 0-20 14 20-40 15 40-60 27 60-80 13 80-100 12 100-120 17 120-140 2 I II III 42 IV V 56 29 40 55 25 29 52 42 29 31 Steps 1. In column I, the frequencies are grouped in two 2. In column II, frequencies are grouped in two, leaving the first frequency. 3. In column III, frequencies are grouped in three 4. In column IV frequencies are grouped in three, leaving the first frequency. 5. In column V frequencies are grouped in three, leaving the first and second frequency. Sikkim Manipal University Page No. 184 Research Methodology Unit 11 Analysis Table Class Frequency I II III IV V Total 0-20 14 I 1 20-40 15 40-60 27 I 60-80 13 I 80-100 12 100-120 17 0 120-140 2 0 I I I 3 I I I I 5 I I 4 I 1 Since highest mark is 5 and is obtained by the class 40-60. Therefore model class = 40-60 Mode is c...
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This note was uploaded on 04/15/2010 for the course MBA mba taught by Professor Smu during the Spring '10 term at Manipal University.

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