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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]625 - h[/tex]
D. [tex]h + 625[/tex]

Answer :

To solve this problem, we need to understand how the median of a data set is affected when a constant is subtracted from each data point.

1. Understand the Median: The median is the middle value of a data set when it is ordered from least to greatest. If the number of data points is odd, the median is the middle number. If the number of data points is even, the median is the average of the two middle numbers.

2. Effect of Subtracting a Constant: When you subtract the same number, in this case, 625, from each value in the data set, it results in a uniform shift of all numbers by that constant amount. This shift does not alter the order of the data. Therefore, the middle point, or the median, is also decreased by that same constant.

3. Calculation: If the original median of the data set is [tex]$h$[/tex], and you subtract 625 from each value, the new median becomes the original median minus 625.

4. Conclusion: Thus, the median of the new data set would be [tex]\( h - 625 \)[/tex].

Therefore, the correct answer to the question is B. [tex]\( h - 625 \)[/tex].

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Rewritten by : Jeany