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Question

# What is the median of the following data: 1, 4, 7, 3, 9, 5, 3, 2, 7, 5.

A

4

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B

4.5

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C

5

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D

7

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Solution

## The correct option is B 4.5 For finding the median, the data should be arranged in ascending or descending order first. Arranging the data in ascending order ,we get : 1, 2, 3, 3, 4, 5, 5, 7, 7, 9. There are even number of observations. Hence the median is the mean value of (n2)th and [(n2)+1]th term. Here the 102thterm= 5th term = 4 [(n2)+1]th term. = 6th term = 5 i.e. (4+52)=4.5 Hence, median of the given data =4.5

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