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Question

There is a set of 7 natural numbers namely: 1, 2, 3, 4, 5, 6, 7. Another set of natural number are :1, 2, 3, 4, 5, 6. What are the values of medians in each set of numbers respectively? 



Your Answer
A

3, 3.5

Correct Answer
B

 4, 3.5

Your Answer
C

4, 3

Your Answer
D

4, 4


Solution

The correct option is A

 4, 3.5


For both the sets of numbers, the numbers are in ascending order. If number of numbers n is odd, the median is (n+1)2th term. If number of numbers n is even, the median will be average of  (n2)th and (n2+1)th  term. 

In first set of numbers, the number of terms is 7. Using above formula, median term is 4th term which 4. In 2nd set of numbers the median is average of 3rd and 4th terms. These are 3 and 4. The average of 3 and 4 is 3.5.

For 1st set median = 4

For 2nd set median = 3.5  

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