Solution:
To find the median of the original data set and the modified data set,
let's first arrange the numbers in ascending order:
Original data set: 3,7,8,15,17,21,23,24,29,30
Modified data set: 7,18,15,17,21,23,24,29,30,33
Now, let's find the median for each set:
For the original data set:
Since the number of observations is even (10), the median is the average of the 5th and 6th numbers when arranged in ascending order.
Median (x)=(17+21)∕2=19
For the modified data set:
Since the number of observations is still even (10), the median is the average of the 5th and 6th numbers when arranged in ascending order.
Median (y)=(21+23)∕2=22
Now, let's find the difference between y and x :
Difference =y−x
=22−19
=3
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