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The median of the observations 21, 36, 73, 71, 35, 38, 49, 37, 26, 66 and 73 is:
Question

The median of the observations 21, 36, 73, 71, 35, 38, 49, 37, 26, 66 and 73 is:

A.

37

B.

38

C.

36

D.

35

Correct option is B

Given:
The observations are: 21, 36, 73, 71, 35, 38, 49, 37, 26, 66, and 73.
Formula Used:
To find the median, arrange the data in ascending order.
If the number of observations (n) is odd, the median is the middle value.
Median = Value at positionn+12th\frac{n + 1} 2^{th}​​
Solution:
Arrange the data in ascending order: 21, 26, 35, 36, 37, 38, 49, 66, 71, 73, 73
There are 11 observations (odd number).
So, the median is the value at position 11+12th=6th\frac{11+1}{2}^{th} = 6^{th}
The 6th value in the sorted list is 38.
The median of the observations is 38.

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