The median of the following items 25,15,23,40,27,25,23,25 and 20 is

Options

A. 27
B. 40
C. 25
D. 23

Answer

To find the median of the given items: 25, 15, 23, 40, 27, 25, 23, 25, and 20, we will follow these steps:

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

**Data in ascending order:**
15, 20, 23, 23, 25, 25, 25, 27, 40

### Step 2: Count the number of items (n)
Next, we count the total number of items in the dataset.

**Total number of items (n):**
There are 9 items.

### Step 3: Determine if n is odd or even
Since the total number of items (n) is 9, which is odd, we will use the formula for finding the median when n is odd.

### Step 4: Use the median formula
The formula for finding the median when n is odd is:
\[ \text{Median} = \frac{n + 1}{2} \text{th term} \]
Substituting n = 9 into the formula:
\[ \text{Median} = \frac{9 + 1}{2} = \frac{10}{2} = 5 \text{th term} \]

### Step 5: Identify the 5th term in the ordered list
Now, we need to find the 5th term in our ordered list.

**Ordered list:**
1. 15
2. 20
3. 23
4. 23
5. **25** (5th term)
6. 25
7. 25
8. 27
9. 40

### Conclusion
The median of the given items is **25**.

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