Find the median of :
241,243,347,350,327,299,261,292,271,258 and 257

Answer

To find the median of the given numbers, we will follow these steps:

### Step 1: List the numbers
The numbers given are:
241, 243, 347, 350, 327, 299, 261, 292, 271, 258, and 257.

### Step 2: Arrange the numbers in ascending order
We need to sort these numbers from the smallest to the largest. The sorted list is:
241, 243, 257, 258, 261, 271, 292, 299, 327, 347, 350.

### Step 3: Count the number of terms
Now, we count the total number of terms in the sorted list. There are 11 numbers.

### Step 4: Determine if the number of terms is odd or even
Since 11 is an odd number, we will use the formula for finding the median in a set of odd numbers.

### Step 5: Calculate the position of the median
The position of the median can be found using the formula:
\[ \text{Median Position} = \frac{n + 1}{2} \]
where \( n \) is the number of terms. Here, \( n = 11 \):
\[ \text{Median Position} = \frac{11 + 1}{2} = \frac{12}{2} = 6 \]

### Step 6: Find the median
Now, we need to find the 6th term in the sorted list:
1. 241 (1st)
2. 243 (2nd)
3. 257 (3rd)
4. 258 (4th)
5. 261 (5th)
6. 271 (6th)

Thus, the median is **271**.

### Final Answer
The median of the given numbers is **271**.

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