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What is the median of the following data?76, 35, 42, 49, 95, 21, 68, 41, 20, 27, 17
Question

What is the median of the following data?

76, 35, 42, 49, 95, 21, 68, 41, 20, 27, 17

A.

42

B.

41.5

C.

41

D.

40.5

Correct option is C

Given:

Data = 76, 35, 42, 49, 95, 21, 68, 41, 20, 27, 17 (n = 11, an odd count)

Formula Used:
For odd n: Median = element at position n+12\text{element at position } \frac{n+1}{2}​ in the ascending-ordered data.

Solution:
Arrange in ascending order:
17, 20, 21, 27, 35, 41, 42, 49, 68, 76, 95
Here n = 11

n+12\frac{n+1}{2} ​= 6. The 6th term is 41.
∴ Median = 41.

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