Question

daily wages of 45 work in a factory are given below daily wages = 100,125,150,175,200 no. of workers = 6,8,9,12,10 find the median, mode and mean ​

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        14      1000

150      9        23      1350

175       12       35     2100

200      10       45     2000

Total     45               7050  

Median:

N = 45 (an odd number)

Median = (N+1/2) Th observation

              = (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 = sum(fx)/sum(f)

Mean = 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

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