Question

Daily wages of 45 workers in a factory are given below :

Daily wages(in Rs) 300 350 400 450 500

No. Of workers 6 8 9 12 10

Find the median and mean weights.

Using empirical formula , calculate its mode​

Answer 1

Step-by-step explanation:

The median = 150, mean = 156.67, mode = 136.66

x f cf fx

100 6 6 600

125 8 14 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=(

2

45+1

)th observation

= 23rd observation

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

∴ Median = 150

Mean:

Mean=\frac{sum(fx)}{sum(f)}Mean=

sum(f)

sum(fx)

Mean=\frac{7050}{45}Mean=

45

7050

Mean = 156.67

Mode:

Empirical formula for finding mode is

Mode = 3Median - 2Mean

= 3(150) - 2 (156.67)

= 450 - 313.34

Mode = 136.66