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Find the median of the following data. 129.75, 116.6, 12.3, 114.1, 136.6, 118.7, 13.5, 121.3
Question

Find the median of the following data. 129.75, 116.6, 12.3, 114.1, 136.6, 118.7, 13.5, 121.3

A.

116.60

B.

117.65

C.

118.75

D.

127.80

Correct option is B

Given:
Data: 129.75, 116.6, 12.3, 114.1, 136.6, 118.7, 13.5, 121.3
Formula Used:
Median is the middle value of a dataset when the numbers are arranged in ascending order. If there are an odd number of observations, the median is the middle number. If there are an even number of observations, the median is the average of the two middle numbers.
Solution:
Arrange the data in ascending order: 12.3, 13.5, 114.1, 116.6, 118.7, 121.3, 129.75, 136.6.
Since the number of observations (8) is even, the median is the average of the 4th and 5th values.
 Median = (116.6 + 118.7) / 2 = 117.65.

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