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Question

Find the median of the following data set.

70 50 90 120 110 100 80 60


A

75

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B

80

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C

85

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D

90

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Solution

The correct option is C

85


Median refers to the value which lies in the middle of the data (when arranged in an increasing or decreasing order).

Arranging the data in ascending order: 50, 60, 70, 80, 90, 100, 110, 120

Since no. of observations is 8, an even number, there will be two middle terms. So, the median will be the average of (82)th and the (82+1)th terms.
Median will be the average of the 4th and 5th terms

So, median = 80+902 = 85.


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