Correct Answer - Option 2 : 2
Given:
11, 13, 19, 20, 22
Concept used:
First, we have to arrange the given data as ascending order then we have to see how many numbers of data (n) is given
If n is odd then, Median = [(n+1)/2]th term
If n is even then, Median = [(n/2)th term + {(n/2) + 1}th term]/2
Mean = (Sum of observation)/(Total number of observation)
Calculation:
11, 13, 19, 20, 22
Median = [(n+1)/2]th term
⇒ Median = (6/2)th term
⇒ Median = 3rd term
⇒ Median = 19
Mean = (Sum of observation)/(Total number of observation)
⇒ Mean = (11 + 13 + 19 + 20 + 22)/5
⇒ Mean = 85/5
⇒ Mean = 17
Required difference = Median - Mean
⇒ Required difference = 19 - 17
⇒ Required difference = 2
∴ The difference between median and mean of given observation is 2.