Ordering numbers worksheet for practicing number sequence skills.

Problem Analysis:

The task involves calculating the median of a set of numbers for each row in the given table. The median is the middle value in a sorted list of numbers. If the list has an even number of elements, the median is the average of the two middle values.

Steps to Solve:

1. Understand the Data: Each row in the table contains a set of numbers. We need to calculate the median for each row.
2. Sort the Numbers: For each row, sort the numbers in ascending order.
3. Find the Median:
- If the number of elements is odd, the median is the middle element.
- If the number of elements is even, the median is the average of the two middle elements.
4. Apply the Formula:
- For an odd number of elements: \( \text{Median} = \text{Middle Element} \)
- For an even number of elements: \( \text{Median} = \frac{\text{Middle Element 1} + \text{Middle Element 2}}{2} \)

Solution:

#### Row A: \( 65, 78, 90, 85, 75 \)
- Sort the numbers: \( 65, 75, 78, 85, 90 \)
- Number of elements: 5 (odd)
- Median: Middle element = \( 78 \)

#### Row B: \( 47, 75, 135, 54 \)
- Sort the numbers: \( 47, 54, 75, 135 \)
- Number of elements: 4 (even)
- Median: Average of the two middle elements = \( \frac{54 + 75}{2} = 64.5 \)

#### Row C: \( 127, 75, 58, 29 \)
- Sort the numbers: \( 29, 58, 75, 127 \)
- Number of elements: 4 (even)
- Median: Average of the two middle elements = \( \frac{58 + 75}{2} = 66.5 \)

#### Row D: \( 94, 68, 85, 3 \)
- Sort the numbers: \( 3, 68, 85, 94 \)
- Number of elements: 4 (even)
- Median: Average of the two middle elements = \( \frac{68 + 85}{2} = 76.5 \)

#### Row E: \( 172, 34, 18, 45, 81 \)
- Sort the numbers: \( 18, 34, 45, 81, 172 \)
- Number of elements: 5 (odd)
- Median: Middle element = \( 45 \)

#### Row F: \( 147, 68, 36, 31, 57 \)
- Sort the numbers: \( 31, 36, 57, 68, 147 \)
- Number of elements: 5 (odd)
- Median: Middle element = \( 57 \)

Final Answers:

\[
\boxed{
\begin{array}{l}
\text{A: } 78 \\
\text{B: } 64.5 \\
\text{C: } 66.5 \\
\text{D: } 76.5 \\
\text{E: } 45 \\
\text{F: } 57 \\
\end{array}
}
\]