Question

Out of 12 observations arranged in ascending order, the sixth and seventh observations are 14 and 15 respectively. Find the median of all the 12 observations.
1. 29
2. 14.5
3. 15
4. None of these

Answer 1

Correct Answer - Option 2 : 14.5

Given:

The total number of observations is 12.

The sixth and seventh observation is 14 and 15 respectively.

Concept used:

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.

Formula used:

For an even set of numbers

⇒  Median = [(n/2)th observation + (n/2 +1)th observation] / 2.

Calculation:

Here, A/Q

Total number of observation is 12, which is even.

⇒ n = 12

⇒ (n/2)^th term is 12/2 = 6th term and

⇒ (n/2 + 1)^th term is (12/2 + 1)^th = 7th term

⇒ Median = (6th term + 7th term)/2

⇒ Median = (14 + 15)/2 = 29/2 = 14.5

∴ Median of 12 observation is 14.5.