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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]$625 \cdot h$[/tex]
B. [tex]$h - 625$[/tex]
C. [tex]$h + 625$[/tex]
D. [tex]$625 - h$[/tex]

Answer :

To solve the problem, let's start by understanding what the median is. The median is the middle value of a data set when it is ordered from least to greatest. If the data set has an odd number of values, the median is the middle one. If it has an even number of values, the median is the average of the two middle numbers.

Now, if you modify the data set by subtracting 625 from each number, this operation shifts every number in the data set by the same amount, specifically by -625.

When each value in the data set is decreased by 625:
- The order of the values relative to each other does not change. This means that the positioning of the middle value(s) in terms of their order is unchanged.
- However, the numeric value of the median will be affected by the operation, specifically, it will also decrease by 625.

Given that the original median is [tex]\( h \)[/tex], the new median after subtracting 625 from each value is [tex]\( h - 625 \)[/tex].

Therefore, the answer is [tex]\( \boxed{h - 625} \)[/tex], which corresponds to option B.

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Rewritten by : Jeany