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The median of the observations 87, 56, 79, 81, 11, 53, 94, 45, 32, 99 and 98 is:
Question

The median of the observations 87, 56, 79, 81, 11, 53, 94, 45, 32, 99 and 98 is:

A.

81

B.

56

C.

53

D.

79

Correct option is D

Given:

The observations are:

87, 56, 79, 81, 11, 53, 94, 45, 32, 99, 98

Concept Used:

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

If the number of observations is odd, the median is the middle number.

If the number of observations is even, the median is the average of the two middle numbers.

Solution:

Arrange the observations in ascending order:

11, 32, 45, 53, 56, 79, 81, 87, 94, 98, 99

There are 11 observations (an odd number).

Since the number of observations is odd, the median is the middle value, which is the 6th observation in the ordered list.

The 6th observation is 79.

Thus, the median of the observations is 79 

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