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The median of the values of the data set is h. If 625 were subtracted from each of the values in the data set what would be the median of the resulting data ?


A. H - 625

B.625 - h

C.h + 625

D.625 • h

Answer :

b
it always turns to a negative

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Rewritten by : Jeany

The correct answer is A. H - 625.

Sure, let's go step by step to find the correct answer.

Given:

- Median of the original data set = h

- Subtracted 625 from each value in the data set

Let's represent the original data set as {x1, x2, x3, ..., xn} where n is the number of values in the data set.

1. Median of the original data set:

The median of a data set is the middle value when the values are arranged in ascending or descending order. Since the data set has been modified by subtracting 625 from each value, the new data set would be {x1 - 625, x2 - 625, ..., xn - 625}.

2. Median of the modified data set:

If we subtract 625 from each value, it doesn't affect the relative order of the values. Therefore, the median of the modified data set would also be h.

So, the correct answer is A. H - 625.

The median represents the middle value in a sorted data set. When we subtract a constant (625 in this case) from each value in the data set, it shifts the entire set downwards without changing the order of values relative to each other. Therefore, the position of the middle value, which determines the median, remains the same. This means the median of the modified data set will still be h.

complete question

The median of the values of the data set is h. If 625 were subtracted from each of the values in the data set what would be the median of the resulting data ?

A. H - 625

B.625 - h

C.h + 625

D.625 • h