Question

2, 5, 8, 4, 9, 6, 7, what is the median for the following observations?
A.6
B.8
C.4
D.4.5

Answer 1

Hint: As we know, median of ungrouped data is the middle term of the sorted data given in the question. Also, the median of the ungrouped data is different for even and odd numbers of terms. Firstly, we need to observe the data whether it has an even or odd number of terms then we will find the middle term of the sorted data. For an odd number of terms, the middle term can simply be calculated by observing the middle term or by adding one to the total number of terms and dividing by 2 and this term will be the median and this term will be the median. For even number of terms, there will be two middle terms which are calculated by $\dfrac{n}{2},\dfrac{n}{2} + 1$ and then these two terms can be added and divided by 2 to get the median of data.

Complete step-by-step answer:
According to the question, we have to find the median of 2, 5, 8, 4, 9, 6, and 7.
Now, we will check whether the number of terms in the series is even or odd,
So, the number of terms in series is odd.
Now, The middle term can be calculated by $\dfrac{{n + 1}}{2}$.
Putting the value$n = 7$,
The middle term will be $\dfrac{{7 + 1}}{2} = 4$
So, the 4th term is 4
Therefore, median of the given data is 4
Hence, the answer is option C.

Note: As we know, attention is needed to do these types of questions because we have to take a lot of terms in calculation and we cannot make mistakes in the number of terms. The calculation of median is simple but it should also be rechecked twice to avoid any mistakes in these types of questions.