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Answer :
To solve this question, let's first understand what the median represents and how the transformation affects the data set. The median is the value that separates the higher half from the lower half of the data set.
1. Original Data: Let’s consider the original data set with a median of [tex]$h$[/tex]. This means that [tex]$h$[/tex] is the middle value when the data set is arranged in ascending order.
2. Transformation: The problem states that 625 is subtracted from each value in the original data set. This means every data point [tex]\( x \)[/tex] in the original data set is transformed to [tex]\( x - 625 \)[/tex].
3. Effect on the Median: Since we're subtracting the same number (625) from each data point, the position of the median in the ordered list remains unchanged. Subtracting a constant from each data point simply shifts the entire data distribution by that constant.
4. New Median: Therefore, if the original median was [tex]$h$[/tex], the new median after subtracting 625 from each value in the data set will be [tex]\( h - 625 \)[/tex].
So, the median of the resulting data set will be:
[tex]\[
h - 625
\][/tex]
Thus, the correct answer is:
[tex]\[
\boxed{h - 625}
\][/tex]
1. Original Data: Let’s consider the original data set with a median of [tex]$h$[/tex]. This means that [tex]$h$[/tex] is the middle value when the data set is arranged in ascending order.
2. Transformation: The problem states that 625 is subtracted from each value in the original data set. This means every data point [tex]\( x \)[/tex] in the original data set is transformed to [tex]\( x - 625 \)[/tex].
3. Effect on the Median: Since we're subtracting the same number (625) from each data point, the position of the median in the ordered list remains unchanged. Subtracting a constant from each data point simply shifts the entire data distribution by that constant.
4. New Median: Therefore, if the original median was [tex]$h$[/tex], the new median after subtracting 625 from each value in the data set will be [tex]\( h - 625 \)[/tex].
So, the median of the resulting data set will be:
[tex]\[
h - 625
\][/tex]
Thus, the correct answer is:
[tex]\[
\boxed{h - 625}
\][/tex]
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