Find the median of : (i) 5,7,9,11,15,17,2,23 and 19

Answer

To find the median of the given data set: 5, 7, 9, 11, 15, 17, 2, 23, and 19, we will follow these steps:

### Step 1: Arrange the data in ascending order.
First, we need to sort the numbers from the smallest to the largest.

**Data in ascending order:**
2, 5, 7, 9, 11, 15, 17, 19, 23

### Step 2: Count the total number of observations.
Next, we count how many numbers are in our sorted list.

**Total number of observations (n):**
There are 9 numbers in total.

### Step 3: Determine the position of the median.
To find the median, we use the formula for the position of the median in a sorted list, which is given by:

\[ \text{Median position} = \frac{n + 1}{2} \]

Substituting the value of n:

\[ \text{Median position} = \frac{9 + 1}{2} = \frac{10}{2} = 5 \]

### Step 4: Identify the median value.
The median is the value at the position we calculated. In our sorted list, the 5th term is:

**5th term:**
11

### Conclusion:
Thus, the median of the given data set is **11**.

---