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X 2 3 4 5 F 2 5 2 1   What is the median...

JAMB 2018

X 2 3 4 5
F 2 5 2 1

 

What is the median of the distribution?

 

  • A. 5
  • B. 4
  • C. 3
  • D. 2
Correct Answer: Option C
Explanation

When a group data is involved, cumulative frequency is used. The formula will be: Median=[(N+1)/2]th

  For member of odd number items. That is, where N is odd

  Median=([N/2]th + [N/2 + 1]th)/2

  For member of odd number items. That is, where N is odd

  Solution:

  From the table, there are 20 members as indicated by the cumulative frequency. Since the members are odd (10) the median age will be ([N/2]th + [N/2 + 1]th)/2

  Median=([10/2]th + [10/2 + 1]th)/2

  =(5th + 6th)/2

  The 5th member is 3 and the 6th member is on 3

  Median=(3 + 3)/2

  =6/2

  Median = 3


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