Question

8. Daily wages of 45 workers in a factory are given below:
Daily wages (in)
100
125
150
175
200
Number of workers
6
8
9
12
10
Find the median and the mean.
Using empirical formula, calculate its mode.

​

Answer 1

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

             $=(\frac{45+1}{2})th$ 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:

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

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

Mean = 156.67

Mode:

Empirical formula for finding mode is

Mode = 3Median - 2Mean

         = 3(150) - 2 (156.67)

         = 450 - 313.34

Mode = 136.66

Answer 2

Step-by-step explanation:

Here is ur answer do ur homework fast