Q. 23

# 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.

Answer :

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

= 5^{th} 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

= 5^{th} value

= 71

**Hence, new median is 71.**

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