Find the median of the data
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?
We know that n = 11 which is odd
By arranging the numbers in ascending order
We get
33, 35, 41, 46, 55, 58, 64, 77, 87, 90, 92
So we get
Median = [(n + 1)/2]th value
By substituting the values
Median = [(11 + 1)/2]th value
We get
Median = 6th value = 58
By replacing 41 and 55 by 61 and 75
By arranging the numbers in ascending order
We get
33, 35, 46, 58, 61, 64, 75, 77, 87, 90, 92
So we get
Median = [(n + 1)/2]th value
By substituting the values
Median = [(11 + 1)/2]th value
We get
Median = 6th value = 64
Therefore, the new median is 64.
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