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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 / 2f1f0f2) 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 020 4060 6080 80100 100120 120140 14 No. of families 2040
15 27 13 12 17 2 Grouping Table
Class Frequency 020 14 2040 15 4060 27 6080 13 80100 12 100120 17 120140 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 020 14 I 1 2040 15 4060 27 I 6080 13 I 80100 12 100120 17 0 120140 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 4060.
Therefore model class = 4060
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.
 Spring '10
 smu

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