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Question

Data: 70, 50, 90, 120, 110, 100, 80, 60
The median of the data set is

A
75
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B
85
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C
95
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Solution

The correct option is B 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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