Page 197 - DSOC404_METHODOLOGY_OF_SOCIAL_RESEARCH_ENGLISH

Unit-27: Measures of Central Tendency: Mean, Median, Mode

note
Example 3 in some families the number of children per family is given below. Calculate
the arithmetic average of children per family by direct method.

Number of children per family number of families
0 96
1 108
2 154
3 126
4 95
5 62
6 45
7 20
8 11
9 6
10 5
11 5
12 1
13 1
solution: to calculate the arithmetic average using direct method, we need to calculate the sum of
the multiplication of value of elements and their related frequencies (Number of families) and the
sum of frequencies, as shown in the table given below
table 27.2
Calculation of arithmetic average of number of children born in every family using direct method
Number of children born in frequency (f) fx
each family (x)
0 96 (0 × 96) = 0
1 108 (1 × 108) = 108
2 154 (2 × 154) = 308
3 126 (3 × 126) = 378
4 95 (4 × 95) = 380
5 62 (5 × 62) = 310
6 45 (6 × 45) = 270
7 20 (7 × 20) = 140
8 11 (8 × 11) = 88
9 6 (9 × 6) = 54
10 5 (10 × 5) = 50
11 5 (11 × 5) = 55
12 1 (12 × 1) = 12
13 1 (13 × 1) = 13
total Sf = 735 Sfx = 2166

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