Question

What is median of a set of data? How is median represented for a set of n observations when

i) n is odd, 

ii) n is even.

iii) weighted median of frequency distribution

Answer 1

Median is one of the commonly used measures of central tendency. Median of a set of n observations is the middle most value when the values are arranged in order of magnitude (increasing or decreasing).

i) n is odd: 

if n is odd the median will be the

(n+1)/2 ^th term.

i) n is even: 

if n is even then median will be the

1/2 {(n/2)^th term + (n/2 + 1)^th term}.

iii) Weighted median: 

in frequency distribution N = ∑f_i; the cumulative frequency is calculated and the middle result in the ordered frequency table represents median. 

 

 

Median is one of the commonly used measures of central tendency. Median of a set of n observations is the middle most value when the values are arranged in order of magnitude (increasing or decreasing).