Consider the following distribution of daily wages of 50 workers of a factory.
Daily wages (in Rs): | 100-120 | 120-140 | 140-160 | 160-180 | 180-200 |
Numbers of workers: | 12 | 14 | 8 | 6 | 10 |
Find the mean daily wages of the workers of the factory by using an appropriate method.
Let the assumed mean (A) = 150
Class interval | Mid value (xi) | di = xi - 150 | ui = | Frequency (fi) | fiui |
100 – 120 | 110 | -40 | -2 | 12 | -24 |
120 – 140 | 130 | -20 | -1 | 14 | -14 |
140 – 160 | 150 | 0 | 0 | 8 | 0 |
160 – 180 | 170 | 20 | 1 | 6 | 6 |
180 - 200 | 190 | 40 | 2 | 10 | 20 |
N = 50 | ∑fiui = - 12 |
We have, A = 150
h = 20
Mean = A + h *
= 150 + 20 *
= 150 - = 150 – 4.8
= 145.2