The marks scored by 10 students in a monthly test are:
9, 13, 17, 6, 8, 13, 11, 10, 5, 9
The median marks are

Options

A. 9
B. 10
C. 9.5
D. 10.5

Answer

To find the median of the marks scored by the 10 students, we will follow these steps:

### Step 1: Arrange the data in ascending order
First, we need to arrange the given marks in ascending order. The marks given are:
- 9, 13, 17, 6, 8, 13, 11, 10, 5, 9

Arranging these in ascending order:
- 5, 6, 8, 9, 9, 10, 11, 13, 13, 17

### Step 2: Determine the number of observations
Next, we count the number of observations (n). In this case, there are 10 marks.

### Step 3: Check if n is even or odd
Since n = 10, which is even, we will use the formula for finding the median in an even set of numbers.

### Step 4: Use the median formula for even n
The formula for the median when n is even is:
\[ \text{Median} = \frac{\text{(n/2)th term} + \text{(n/2 + 1)th term}}{2} \]
Here, n = 10, so:
- n/2 = 10/2 = 5
- (n/2 + 1) = 5 + 1 = 6

### Step 5: Identify the 5th and 6th terms
From our ordered data:
- The 5th term is 9
- The 6th term is 10

### Step 6: Calculate the median
Now, we substitute the 5th and 6th terms into the median formula:
\[ \text{Median} = \frac{9 + 10}{2} = \frac{19}{2} = 9.5 \]

### Final Answer
The median marks are **9.5**.

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