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What is the median of the following data?61, 55, 18, 49, 52, 80, 60, 33, 54, 56, 28
Question

What is the median of the following data?
61, 55, 18, 49, 52, 80, 60, 33, 54, 56, 28

A.

54

B.

54.5

C.

55

D.

53.5

Correct option is A

Given:

Data set: 61, 55, 18, 49, 52, 80, 60, 33, 54, 56, 28

Concept Used:

Median is the middle value of a sorted dataset.

For an odd number of terms: Median = middle term

For an even number of terms: Median = average of two middle terms

Formula Used:

Median = (n+1)2th\frac{(n+1)}{2}^{th}​ term for odd number of values

Solution:

Sorted data:

18, 28, 33, 49, 52, 54, 55, 56, 60, 61, 80

Total values = 11 (odd)

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

Median = 54

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