In a set of n date values, m represents the median. If each number in the set is decreased by 3, which expression represents the median of the revised set of data values?

Options

A. m
B. m-3
C. `m-(3)/(n)`
D. `(m-3)/(n)`

Answer

To solve the problem, we need to determine how the median of a set of data values changes when each value in the set is decreased by a constant amount.

### Step-by-Step Solution:

1. **Understanding the Median**: The median of a set of values is the middle value when the values are arranged in ascending order. If the number of values (n) is odd, the median is the middle value. If n is even, the median is the average of the two middle values.

2. **Given Information**: We are given that the median of the original set of n values is represented by m.

3. **Modification of the Data Set**: Each value in the set is decreased by 3. This means that if we have a value x in the original set, it will become x - 3 in the revised set.

4. **Effect on the Median**: Since the median is simply a value from the data set, when every value in the set is decreased by 3, the median will also decrease by 3. This is because the relative positions of the values in the ordered set remain unchanged; only their actual values change.

5. **New Median Calculation**: Therefore, the new median of the revised set of data values will be:
\[ \text{New Median} = m - 3 \]

### Final Expression:
The expression that represents the median of the revised set of data values is \( m - 3 \).

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