Question

A set of $7$ numbers is given such that the set begins from $15$. If it is known that the median of the set is $21$, then which of the following will represent the correct set of numbers?

• A. $15,13,14,23,21,45,40$
• B. $21,20,15,27,28,30,15$
• C. $15,16,17,18,19,20,21$
• D. $19,21,15,24,21,64,50$

Answer 1

Answer: (B), (D)

$19,21,15,24,21,64,50$

If a set consists of an odd number of terms, then the median is the middle value obtained after arranging the given set in ascending order.

The four sets given in the options can be arranged in ascending order as follows,


From the table, it can be observed that the median is $21$ for the first, second, and last set. But in case of the first set, the given set does not start from $15$, hence it does not satisfy the given condition.

Therefore, the sets which satisfy the given conditions are $21,20,15,27,28,30,15$ and $19,21,15,24,21,64,50$