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, follow these steps:

### Step 1: Arrange the data in ascending order
The given data is:
10, 8, 5, 3, 9, 6, 12, 14, 13, 7, 1

Arranging this data in ascending order gives:
1, 3, 5, 6, 7, 8, 9, 10, 12, 13, 14

### Step 2: Count the number of data points
Now, we count the number of data points in the arranged data set.
There are 11 data points.

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

### Step 4: Use the median formula
The formula for finding the median when the number of data points (n) is odd is:
Median = (n + 1) / 2

Substituting n = 11:
Median = (11 + 1) / 2 = 12 / 2 = 6

### Step 5: Identify the median value
Now, we need to find the 6th term in the ordered list:
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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