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In an arranged series of an even number of 2n terms the median is

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n t h

and

(n + 1) t n

observations.

n + 2 t h

and

(n + 1) t n

observations.

n t h

and

(n + 1) 2 t n

observations.

None of these

answer is A.

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Detailed Solution

Given an arranged series of 2n terms.
Median divides the data into upper half and lower half observations.
Here, the number of observations is 2n, which is even.
The median is the mean of

n t h

and

(n + 1) t h

observations is

2 n 2 = n and 2 n 2 + 1 = n + 1

Therefore, median is the mean of

2 n 2 th and 2 n 2 + 1 th

observations.
Thus, in an arranged series of an even number of 2n terms the median is the mean of

n t h

and

(n + 1) t h

observations.
Therefore, option (1) is correct.

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