If the median of a, b, c, d, e, and f `(a lt b lt c lt d lt e lt f)` then the median of b, c, d, and e is________

Answer

To find the median of the numbers \( b, c, d, e \), we can follow these steps:

### Step 1: Understand the Median of \( a, b, c, d, e, f \)
Given that \( a < b < c < d < e < f \), we have six numbers. The median of an even set of numbers is calculated by taking the average of the two middle numbers.

- The two middle numbers in this case are the 3rd and 4th numbers, which are \( c \) and \( d \).
- Therefore, the median of \( a, b, c, d, e, f \) is:
\[ \text{Median} = \frac{c + d}{2} \]

### Step 2: Find the Median of \( b, c, d, e \)
Now we need to find the median of the four numbers \( b, c, d, e \). Since there are four numbers (an even count), we again take the average of the two middle numbers.

- The two middle numbers in this case are the 2nd and 3rd numbers, which are \( c \) and \( d \).
- Therefore, the median of \( b, c, d, e \) is:
\[ \text{Median} = \frac{c + d}{2} \]

### Step 3: Conclusion
From the calculations above, we can conclude that the median of \( b, c, d, e \) is the same as the median of \( a, b, c, d, e, f \):
\[ \text{Median of } b, c, d, e = \frac{c + d}{2} \]

### Final Answer
The median of \( b, c, d, e \) is \( \frac{c + d}{2} \).

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