The median of 25, 14, 11, 26, 18 , 17, 40, 29, 19, 20, 13 is

Options

A. 17
B. 12
C. 29
D. 19

Answer

To find the median of the given numbers: 25, 14, 11, 26, 18, 17, 40, 29, 19, 20, 13, we will follow these steps:

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

The given numbers are:
25, 14, 11, 26, 18, 17, 40, 29, 19, 20, 13

Arranging them in ascending order, we get:
11, 13, 14, 17, 18, 19, 20, 25, 26, 29, 40

### Step 2: Count the total number of observations.
Next, we count how many numbers we have.

In this case, there are 11 numbers.

### Step 3: Determine if the number of observations is odd or even.
Since the total number of observations (n) is 11, which is odd, we will use the formula for finding the median when n is odd.

### Step 4: Use the median formula for an odd number of observations.
The formula for the median when n is odd is:
\[ \text{Median} = \left(\frac{n + 1}{2}\right)^{th} \text{ term} \]

Substituting n = 11 into the formula:
\[ \text{Median} = \left(\frac{11 + 1}{2}\right)^{th} \text{ term} = \left(\frac{12}{2}\right)^{th} \text{ term} = 6^{th} \text{ term} \]

### Step 5: Find the 6th term in the sorted list.
Now we look for the 6th term in our sorted list:
1. 11
2. 13
3. 14
4. 17
5. 18
6. 19

The 6th term is 19.

### Conclusion:
Thus, the median of the given numbers is **19**.

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