when 11 observations are arranged in ascending, the 5th,6th and 7th observations are 12,13,16 respectively, find the median
Answers
Answer:
Just follow this
Step-by-step explanation:
as the observations are odd Apply n+1/2 format
n=3
therefore
3+1/2
therefore answer is 2
The median is 13
Given : When 11 observations are arranged in ascending, the 5th,6th and 7th observations are 12,13,16 respectively.
To find : The median of the data.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the median of the data)
Number of observations = 11
As, 11 is an odd number, so the median of the data will be :
= [(n+1)/2] th term
(here, n = number of terms)
Now, the data is already arranged in ascending order, so we don't need to worry about the data arrangement.
In this case,
n = 11
So, median of the data :
= [(11+1)/2] th term
= 6th term
According to the data mentioned in the question,
6th term of the data = 13
So, median of the data = 13
Hence, the median of the data is 13