Page 207 - DSOC404_METHODOLOGY_OF_SOCIAL_RESEARCH_ENGLISH

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

note
Example 9 in a factory the weekly wages of workers is as follows. find the median
of their wages.

Weekly wages (in dollars) number of workers
25 25
26 70
27 210
28 275
29 430
30 550
31 340
32 130
33 90
34 55
35 25

solution: Because in the above table the weekly wages are given in ascending order, therefore, to find
the median we only need to find the cumulative frequency. The last value of cumulative frequency
will be the sum of frequencies (n). After finding the value of n we can find the element whose value
n + 1
will be the median of the wages using the formula . After finding this element we will see the
2
corresponding cumulative frequency for that. the wages corresponding to that value will be the
median for the wages. this can be made more clear from the given below solution-
n + 1
Me = value of position
2
2200 1 2201
+
= value of = th position
2 2
= value of 1100.5 position
table 27.6
Weekly wages (in dollars) no. of workers (frequency) cumulative frequency
25 25 25
26 70 (25 + 70) = 95
27 210 (95 + 210) = 305
28 275 (305 + 275) = 580
29 430 (580 + 430) = 1010
30 550 (1010 + 550) = 1560
31 340 (1560 + 340) = 1900
32 130 (1900 + 130) = 2030
33 90 (2030 + 90) = 2120
34 55 (2120 + 55) = 2175
35 25 (2175 + 25) = 2200
n = 2200

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