Question

The median of the given observation: 35,20, 55, 27, 15, 40 .
A. 28
B. 30
C. 25
D. 31

Answer 1

Hint: Write numbers either in ascending or in descending order. Then, choose the middle terms from the numbers. Since, the number of observations is even, we will have two middle terms . Take the average of both the middle terms to calculate the required median.

Complete step-by-step answer:
We have to find the median of these numbers.
Median is also known as the middle value of the data, when the data is arranged in either ascending or descending order.
We will first arrange the numbers in ascending order.
15,20,27,35,40,55
Since, there are 6 numbers, that is total observations are even, we will have 2 middle terms.
Here, we can observe that there are 2 middle numbers, 27 and 35.
We will take the average of the middle numbers to find the median of the median.
Hence, average of 27 and 35 is $\dfrac{{27 + 35}}{2} = \dfrac{{62}}{2} = 31$
Therefore, the median of given numbers is 31.
Hence, option D is correct.

Note: We have to take the average of middle terms when the number of terms are even. But, if the number of terms are odd, there is only one middle term and hence the median of the given data. Median is also known as the central value or mid-value of the data.