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Answer :
To solve this problem, it's important to understand what happens to the median of a data set when the same number is subtracted from each data value.
The median is a measure of central tendency that represents the middle value of a data set when the values are ordered. Now, if we subtract the same number, in this case, 625, from each value in the data set, the relative positions of the values do not change. However, each value, including the median, will decrease by the same amount.
Here's a step-by-step explanation:
1. Initial Median: Let's say the initial median of the data set is [tex]$h$[/tex]. This means that [tex]$h$[/tex] is the middle value when the data is ordered.
2. Subtracting 625: We subtract 625 from each data value. Therefore, every single count in the data set, including [tex]$h$[/tex], will shift. The structure of the data, such as the order and relative sizes, remains the same, but every number is now smaller by 625.
3. New Median: Since the entire data set is shifted downward by 625, the new median is simply the original median [tex]$h$[/tex] reduced by 625.
Therefore, the resulting median after subtracting 625 from each data value is [tex]\( h - 625 \)[/tex].
The correct answer is D. [tex]\( h - 625 \)[/tex].
The median is a measure of central tendency that represents the middle value of a data set when the values are ordered. Now, if we subtract the same number, in this case, 625, from each value in the data set, the relative positions of the values do not change. However, each value, including the median, will decrease by the same amount.
Here's a step-by-step explanation:
1. Initial Median: Let's say the initial median of the data set is [tex]$h$[/tex]. This means that [tex]$h$[/tex] is the middle value when the data is ordered.
2. Subtracting 625: We subtract 625 from each data value. Therefore, every single count in the data set, including [tex]$h$[/tex], will shift. The structure of the data, such as the order and relative sizes, remains the same, but every number is now smaller by 625.
3. New Median: Since the entire data set is shifted downward by 625, the new median is simply the original median [tex]$h$[/tex] reduced by 625.
Therefore, the resulting median after subtracting 625 from each data value is [tex]\( h - 625 \)[/tex].
The correct answer is D. [tex]\( h - 625 \)[/tex].
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