Question

Daily wages of 45 workers are given below:
Wages
100
125
150
175
200
No. of workers
6
8
9
12
10
(i)
Find the mean, mode and median of the given data.

Answer 1

Answer:

The median= 150, Mean= 156.67, Mode= 136.66

Step-by-step explanation:

x. f. cf. fx

100. 6. 6. 600

125. 8. 9. 1000

150. 9. 23. 1350

175. 12. 35. 2100

200. 10. 45. 2000

Total. 45. 7050

Median:

N = 45 ( an odd number)

Median = $$(\frac{N+1} {2})th$$

Observation

$$=(\frac{45+1} {2})th$$

Observation

= 23rd obsrevation

From the table cumulative frequency equal to OR just greater than 23 is 23 . The corresponding observation is 150

therefore, median = 150

Mean:

$$ mean = \frac{ sum ( fx )} {sum (f)}$$

$$ mean = \frac{7050} {45} $$

mean = 156.67

Mode :

mode = 3 median - 2 mode

= 3(150)-2(156.67)

= 450-313.34

therefore, mode = 136.66

Hope it helps you...