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Question

46, 41, 77, 58, 35, 64, 87, 92, 33, 55, 90.
In the above data, if 41 and 55 are replaced by 61 and 75 respectively, what will be the new median?


A

58

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B

64

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C

61

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D

75

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Solution

The correct option is B

64


After replacing the numbers, the new data set is

46, 61, 77, 58, 35, 64, 87, 92, 33, 75, 90.

Arranging the numbers in ascending order, we get,
33, 35, 46, 58, 61, 64, 75, 77, 87, 90, 92

There are 11 terms, hence, the median will be the sixth term i.e median is 64


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