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Question

The medians for the first 7 odd natural numbers (1, 3, 5, 7, 9, 11, 13) and the first 6 odd natural numbers (1, 3, 5, 7, 9, 11) respectively are _____ .

A

7, 6
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B

6, 7
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C

7, 7
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D

7, 5
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Solution

The correct option is A
7, 6

For both the sets of numbers, the numbers are in ascending order. If number of observations (n) is odd, the median is 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 the first set of numbers, the number of terms is 7. Using above formula, the median term is 4th term, which is 7.
In the 2nd set of numbers, the median is the average of 3rd and 4th terms. These are 5 and 7. The average of 5 and 7 is 6.

For 1st set, median = 7.

For 2nd set, median = 6.


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