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The median of the observations 54, 65, 77, 34, 68, 66, 60, 70, 33, 71 and 15 is:
Question

The median of the observations 54, 65, 77, 34, 68, 66, 60, 70, 33, 71 and 15 is:

A.

61

B.

66

C.

68

D.

65

Correct option is D

Given:

Observations: 54, 65, 77, 34, 68, 66, 60, 70, 33, 71, 15

Formula Used:

For n odd:

Median  = Value at (n+12)th position \text{Value at } \left( \frac{n + 1}{2} \right)^\text{th} \text{ position}​​

Solution:

Arrange in ascending order

15, 33, 34, 54, 60, 65, 66, 68, 70, 71, 77

Total observations = 11 (odd)

Position of median:

11+12=6th value\frac{11 + 1}{2} = 6^\text{th} \text{ value}​​

Median = 6th value = 65 

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