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Previous Year Question (PYQs)



Consider the following frequency distribution table.
 Class interval 10-20 20-3030-40 40-50  50-60 60-7070-80 
 Frequency 180 f1 34180  136 f250 






If the total frequency is 685 & median is 42.6 then the values of f1  and f2  are





Solution

Median & Frequency Table

Given: Median = 42.6, Total Frequency = 685

Using Median Formula:

Median=L+(N/2Ff)h

  • Median Class: 40–50
  • Lower boundary L=40
  • Frequency f=180
  • Class width h=10
  • Cumulative freq before median class F=214+f1

Substituting values:

42.6=40+(128.5f1180)10f1=82

Using total frequency:

662+f2=685f2=23

✅ Final Answer: f1=82,f2=23



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