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Consider the following grouped frequency distribution:
What is the median of the distribution ?
  • a)
    34
  • b)
    34.5
  • c)
    35
  • d)
    35.5
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Consider the following grouped frequency distribution:What is the medi...
For a distribution, Median

where, L = lower class limit of median class
N = Sum of frequencies
CF = cumulative frequency of class preceding the median class
f = frequency of median class
h = class length of median class.
∑f = N = 20
⇒ N/2 = 10 
As 7 < 10 < 13, N/2 lies in the class length 30 - 40 by comparing cumulative frequency.
Median class = 30 - 40
⇒ L = 30, N = 60, CF = 7, f = 6, h = 40 - 30 - 10

∴ The correct option is (3).
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Community Answer
Consider the following grouped frequency distribution:What is the medi...
For a distribution, Median

where, L = lower class limit of median class
N = Sum of frequencies
CF = cumulative frequency of class preceding the median class
f = frequency of median class
h = class length of median class.
∑f = N = 20
⇒ N/2 = 10 
As 7 < 10 < 13, N/2 lies in the class length 30 - 40 by comparing cumulative frequency.
Median class = 30 - 40
⇒ L = 30, N = 60, CF = 7, f = 6, h = 40 - 30 - 10

∴ The correct option is (3).
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Consider the following grouped frequency distribution:What is the median of the distribution ?a)34b)34.5c)35d)35.5Correct answer is option 'C'. Can you explain this answer?
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