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 data set, follow these steps:

### Step 1: Arrange the data in ascending order
First, we need to arrange the numbers in ascending order. The given numbers are:
25, 15, 23, 40, 27, 25, 23, 25, and 20.

When we arrange these numbers in ascending order, we get:
15, 20, 23, 23, 25, 25, 25, 27, 40.

### Step 2: Count the number of terms
Next, we need to count the total number of terms in the data set. In this case, there are 9 terms.

### 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:
\[ \text{Median Position} = \frac{n + 1}{2} \]
where \( n \) is the number of terms.

Substituting \( n = 9 \):
\[ \text{Median Position} = \frac{9 + 1}{2} = \frac{10}{2} = 5 \]
This means the median is the 5th term in the ordered list.

### Step 4: Identify the median
Now, we look at the ordered list:
1. 15
2. 20
3. 23
4. 23
5. **25** (This is the 5th term)
6. 25
7. 25
8. 27
9. 40

The 5th term is 25.

### Conclusion
Thus, the median of the given data set is **25**.

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