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Question -

Find the median of the following observations: 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33. If 92 is replaced by 99 and 41 by 43 in the above data, find the new median?



Answer -

The given data is 46, 64, 87, 41, 58, 77, 35, 90, 55, 92 and 33.
Arranging the given data in ascending order, we have
33, 35, 41, 46, 55, 58, 64, 77, 87, 90, 92
Here, the number of observation┬а, which is an odd number.
Hence, the median is
If 92 and 41 are replaced by 99 and 43 respectively, then the given data becomes 46, 64, 87, 43, 58, 77, 35, 90, 55, 99 and 33.
Arranging the new data in ascending order, we have
33, 35, 43, 46, 55, 58, 64, 77, 87, 90, 99
Here, the number of observation┬а, which is an odd number.
Hence, the new median is

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