The median for the given set of six ordered data values is 31.5 . $$ 51225 \_4148 $$ What is the missing value? The missing value is

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To find the missing value in the ordered dataset, let's break down the information provided:

1. **Dataset Structure**:
   - There are six ordered data values.
   - The dataset is partially given as: **51225 _4148**.

2. **Interpreting the Dataset**:
   - The sequence likely represents individual numbers separated for clarity:
     - **5**, **12**, **25**, **_**, **41**, **48**.
   
3. **Understanding the Median**:
   - For an even number of data points (six in this case), the median is the average of the 3rd and 4th values.
   - Given that the median is **31.5**, we set up the equation:
     $$
     \frac{\text{3rd value} + \text{4th value}}{2} = 31.5
     $$
   - Plugging in the known values:
     $$
     \frac{25 + \text{Missing Value}}{2} = 31.5
     $$
   - Solving for the missing value:
     $$
     25 + \text{Missing Value} = 63 \
     \text{Missing Value} = 63 - 25 \
     \text{Missing Value} = 38
     $$

4. **Final Ordered Dataset**:
   - The complete ordered dataset is:
     $$
     5, \, 12, \, 25, \, 38, \, 41, \, 48
     $$
   - This ordering ensures that the median is indeed **31.5**.

**Answer:** 38
The missing value is 38.

The median for the given set of six ordered data values is 31.5 . \( 51225 \_4148 \) What is the missing value? The missing value is

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