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The median of the values in a data set is [tex]\( h \)[/tex]. If 625 were subtracted from each of the values in the data set, what would be the median of the resulting data?

A. [tex]\( 625 - h \)[/tex]
B. [tex]\( 625 \cdot h \)[/tex]
C. [tex]\( h - 625 \)[/tex]
D. [tex]\( h + 625 \)[/tex]

Sagot :

GinnyAnsweridn
To determine what happens to the median when all values in a data set are adjusted by subtracting 625, we can understand some properties of the median:

1. Definition of Median: The median is the middle value of a data set when the numbers are arranged in ascending order. If the number of values is odd, the median is the middle one. If even, the median is the average of the two middle numbers.

2. Effect of Subtracting a Constant: When subtracting a constant number from each value in the data set, the median of the resulting data set will be the original median diminished by that constant amount. This is a property of the median that holds for any constant subtraction or addition.

Therefore, if we subtract 625 from each value in the data set, the new median will be the original median [tex]\( h \)[/tex] minus 625.

Thus, the solution is:

[tex]\[ \boxed{h - 625} \][/tex]

So the correct answer is:
C. [tex]\( h - 625 \)[/tex]
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