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Question
Given the following data set, what is the value of median (2 4 3 6 1 8 9 2 5 7 ).
Given the following data set, what is the value of median (2 4 3 6 1 8 9 2 5 7 ).
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Solution
The correct option is C 4.5
Median is the
middle most value of a series. So when the series has odd number of elements
then median can be calculated easily but when the series has even number of
elements then the series has two middle values, so median is calculated by
taking out the average of both the value.
The given series is first
arranged into ascending; 1,2,2,3,4,5,6,7,8,9
N= 10
median= (10+1)/2 th term = 11/2 th term = 5.5 th term
= ( value of 5th term + value of 6th term)/2
= (4+5) /2 = 9/2 = 4.5
Median is the middle most value of a series. So when the series has odd number of elements then median can be calculated easily but when the series has even number of elements then the series has two middle values, so median is calculated by taking out the average of both the value.
The given series is first arranged into ascending; 1,2,2,3,4,5,6,7,8,9
N= 10
median= (10+1)/2 th term = 11/2 th term = 5.5 th term
= ( value of 5th term + value of 6th term)/2
= (4+5) /2 = 9/2 = 4.5
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