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Answer :
When dealing with the median of a data set, it's important to remember that the median is a measure of central tendency that represents the middle value when the data set is ordered.
In this problem, we need to find the median of a new data set, formed by subtracting 625 from each value in the original data set.
Here’s how it works step-by-step:
1. Understanding the Original Median:
- Let's denote the median of the original data set as [tex]\( h \)[/tex]. This is the middle value that divides the data set into two equal halves when all values are arranged in order.
2. Effect of Subtracting a Constant:
- If you subtract the same number (in this case, 625) from every value in a data set, each value shifts equally on the number line. This means the whole data set shifts left by that constant amount.
3. Impact on the Median:
- Since we are simply shifting all data points by the same amount, the position of the median within the ordered data set remains the same. However, its value reduces by the constant subtracted.
- Hence, if the original median was [tex]\( h \)[/tex], then the new median will be [tex]\( h - 625 \)[/tex].
Therefore, the median of the resulting data after subtracting 625 from each value in the original data set is [tex]\( h - 625 \)[/tex].
The correct answer reflects this calculation:
D. [tex]\( h - 625 \)[/tex]
In this problem, we need to find the median of a new data set, formed by subtracting 625 from each value in the original data set.
Here’s how it works step-by-step:
1. Understanding the Original Median:
- Let's denote the median of the original data set as [tex]\( h \)[/tex]. This is the middle value that divides the data set into two equal halves when all values are arranged in order.
2. Effect of Subtracting a Constant:
- If you subtract the same number (in this case, 625) from every value in a data set, each value shifts equally on the number line. This means the whole data set shifts left by that constant amount.
3. Impact on the Median:
- Since we are simply shifting all data points by the same amount, the position of the median within the ordered data set remains the same. However, its value reduces by the constant subtracted.
- Hence, if the original median was [tex]\( h \)[/tex], then the new median will be [tex]\( h - 625 \)[/tex].
Therefore, the median of the resulting data after subtracting 625 from each value in the original data set is [tex]\( h - 625 \)[/tex].
The correct answer reflects this calculation:
D. [tex]\( h - 625 \)[/tex]
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