Find the median of the data:
38,42,35,45,50,32,43,40,36,38,43,38,47,

Answer

To find the median of the given data set, we will follow these steps:

### Step 1: List the data
The data provided is:
38, 42, 35, 45, 50, 32, 43, 40, 36, 38, 43, 38, 47.

### Step 2: Count the number of terms (n)
We need to find how many numbers are in the data set.
Counting the numbers, we have:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13.
So, n = 13.

### Step 3: Arrange the data in ascending order
Next, we arrange the data in ascending order:
32, 35, 36, 38, 38, 38, 40, 42, 43, 43, 45, 47, 50.

### Step 4: Determine if n is odd or even
Since n = 13, which is an odd number, we use the formula for the median:
Median = (n + 1) / 2 term.

### Step 5: Calculate the position of the median
Now we calculate the position of the median:
Median position = (13 + 1) / 2 = 14 / 2 = 7.

### Step 6: Find the 7th term in the ordered list
Now we find the 7th term in our arranged data:
1. 32
2. 35
3. 36
4. 38
5. 38
6. 38
7. **40** (This is the 7th term)

### Step 7: State the median
Therefore, the median of the data set is **40**.

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