Question

If median salary of 100 employees of a factory is ₹24800, then find the missing frequencies f1 and f2 in the given distribution table :
Salary (in ₹) no. Of employees
10000-15000 18
15000-20000 f1
20000-25000 f2
25000-30000 15
30000-35000 12
35000-40000 22




Pls tell me how to solve it
ans. f1=8 and F2=25​

Answer 1

Classes                 F            cf

10000-15000        18           18

15000-20000        f1          18+f1

20000-25000       f2          18+f1+f2

25000-30000       15          33+f1+f2

30000-35000       12          45+f1+f2

35000-40000       22         67+f1+f2

Since the median salary is ₹24800 the median class is 20000-25000

Since the no: of employees is 100,

18+f1+f2+15+12+22=100

f1+f2=100-67

f1+f2=33

f1 = 33- f2

n/2=100/2=50

l=20000

h=5000

cf=18+f1

f=f2

Just substitute these values to the median formula and voila you will have the answers to the question

You will have to use linear equation in two variables to get the answer

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