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What is the median of the following data?72, 47, 98, 52, 20, 86, 85, 69, 59, 81, 53
Question

What is the median of the following data?
72, 47, 98, 52, 20, 86, 85, 69, 59, 81, 53

A.

69.5

B.

69

C.

68.5

D.

70

Correct option is B

Given:

The data set:

72, 47, 98, 52, 20, 86, 85, 69, 59, 81, 53

Concept Used:

The median of a data set is the middle value when the data is arranged in ascending order.

If the number of data points is odd, the median is the middle value.

If the number of data points is even, the median is the average of the two middle values.

Solution:

Arrange the data in ascending order:

20, 47, 52, 53, 59, 69, 72, 81, 85, 86, 98

The number of data points is 11 (which is odd), so the median is the middle value.

The middle value is the 6th number in the ordered data set:

Median = 69

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