Find the median of the data
10, 8, 5, 3, 9, 6, 12, 14, 13, 7, 1

Options

A. 8
B. 10
C. 9
D. 14

Answer

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

### Step 1: Arrange the data in ascending order
We start with the data set:
10, 8, 5, 3, 9, 6, 12, 14, 13, 7, 1.

Arranging these numbers in ascending order gives us:
1, 3, 5, 6, 7, 8, 9, 10, 12, 13, 14.

### Step 2: Count the number of data points
Next, we count how many numbers are in the data set.
In this case, we have a total of 11 numbers.

### Step 3: Determine if the count is odd or even
Since we have an odd number of data points (11), we will use the formula for finding the median in an odd set.

### Step 4: Use the median formula
The formula for finding the median when the number of data points (n) is odd is:
\[ \text{Median} = \frac{n + 1}{2} \]
Substituting n = 11:
\[ \text{Median} = \frac{11 + 1}{2} = \frac{12}{2} = 6 \]
This means the median is the 6th term in the ordered list.

### Step 5: Find the 6th term in the ordered list
Now we look at our ordered data:
1, 3, 5, 6, 7, 8, 9, 10, 12, 13, 14.
The 6th term is 8.

### Conclusion
Thus, the median of the data set is **8**.

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