Answers

2015-01-06T23:00:56+05:30
First write numbers in increasing order = 19, 29, 30, 32, 35, 37, 48 , 51, 59
median is the middle number
so, median = 35
if 59 is replaced with 52
then the order is = 19,29,30,32,35,37,48,51,52
new median = 35
1 5 1
2015-01-07T05:22:40+05:30
There are two formulas for finding the median.
Median={(n+1)/2}th observation when no.of terms is odd.
Median=1/2{(n/2)th observation+(n/2+1)th observation} where n is even.
In your case the numbers are 19, 29, 59, 48, 35, 37, 30, 32, 51
There are 9 numbers which means n is odd.
We will have to arrange the numbers in ascending order as:
19, 29, 30, 32, 35, 37, 48, 51, 59
So, we will use the first formula.
Median={(n+1)/2}={(9+1)/2}=10/2=5th observation which is 35.
So, the median is 35.
After replacing 59 with 52, the n will be 9 only so we will use the same formula.
Median={(n+1)/2}th observation which again comes as the 5th observation which is 35 so in the new case also the median is 35.
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