Correct Answer - Option 3 : 15
Given:
Number of observation = 14
Numbers are 18, 10, 10, 12, 14, 16, 22, 16, 20, 10, 10, 12, 16, 18.
Concept Used:
First, we have to arrange the given data as ascending numbers then we have to see how many numbers of data (n) are given and calculate their position.
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
Calculation:
Ascending order:
10, 10, 10, 10, 12, 12, 14, 16, 16, 16, 18, 18, 20, 22
⇒ Middle values are 14 and 16
Median = Average of two middle values (as number of terms are even)
⇒ Median = (14 + 16)/2
∴ Median is 15.