Median of 18,35,10,42,21 will be:

Options

A. A)18
B. B)10
C. C)21
D. D)5

Answer

To find the median of the numbers 18, 35, 10, 42, and 21, we will follow these steps:

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

- The numbers are: 18, 35, 10, 42, 21.
- Arranging them in ascending order gives us: 10, 18, 21, 35, 42.

### Step 2: Determine the number of terms.
Next, we count how many numbers we have in our sorted list.

- The sorted list has 5 numbers: 10, 18, 21, 35, 42.
- Therefore, the number of terms (n) is 5.

### Step 3: Find the median.
Since the number of terms (n) is odd, the median is the middle number in the sorted list.

- The formula for finding the median when n is odd is:
\[ \text{Median} = \left(\frac{n + 1}{2}\right)^{th} \text{ term} \]
- Plugging in the value of n:
\[ \text{Median} = \left(\frac{5 + 1}{2}\right)^{th} \text{ term} = \left(\frac{6}{2}\right)^{th} \text{ term} = 3^{rd} \text{ term} \]

### Step 4: Identify the 3rd term in the sorted list.
Now, we need to find the 3rd term in our sorted list.

- The sorted list is: 10, 18, 21, 35, 42.
- The 3rd term is 21.

### Conclusion:
Thus, the median of the numbers 18, 35, 10, 42, and 21 is **21**.

---