Q23 of 26 Page 14

Find the median of the following data: 41, 43, 127, 99, 61, 92, 71, 58, 57 if 58 replaced by 85, what will be the new median.

Concept Used:

Median for an odd number of observations


Explanation:


41, 43, 127, 99, 61, 92, 71, 58, 57


Arrange in ascending order:


41, 43, 57, 58, 61, 71, 92, 99, 127


n = 9 (odd)


Therefore, median


Median


= 5th value


= 61


If 58 is replaced by 85


Then the new value be in order:


41, 43, 57, 61, 71, 85, 92, 99, 127


n = 9 (odd)


Therefore, median



= 5th value


= 71


Hence, new median is 71.


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