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Answer :
Final answer:
If the median of the following data is 28.5, then the x and y values.
C x = 20, y = 30
Explanation:
To find the values of ( x ) and ( y ), we need to determine the lower limits of the class intervals containing the median. Since the median is given as 28.5, it falls within the class interval 20-30.
The median divides the cumulative frequency distribution into two halves. We know that the total frequency is 60, so the cumulative frequency up to the median is [tex]\( \frac{60}{2}[/tex] = 30 ).
Now, we find the lower limit of the class interval containing the median. In this case, it's 20.
Thus, ( x = 20 ).
To find ( y ), we look for the upper limit of the class interval containing the median, which is 30.
Thus,( y = 30 ).
So, the correct answer is:
C. x = 20, y = 30
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