The test marks in statistic for a class are 20,24,27,38,18,42,35,21,44,18,31,36,41,26,29. The median score of the class is

Options

A. 8
B. 21
C. 29
D. 31

Answer

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

### Step 1: List the Test Marks
The test marks provided are:
20, 24, 27, 38, 18, 42, 35, 21, 44, 18, 31, 36, 41, 26, 29.

### Step 2: Arrange the Marks in Ascending Order
We need to arrange these marks in ascending order:
18, 18, 20, 21, 24, 26, 27, 29, 31, 35, 36, 38, 41, 42, 44.

### Step 3: Count the Number of Marks
Next, we count the total number of marks (n):
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.
So, n = 15.

### Step 4: Determine if n is Odd or Even
Since n = 15 is odd, we will use the formula for the median of an odd set of numbers.

### Step 5: Use the Median Formula
The formula for the median when n is odd is:
\[ \text{Median} = \frac{n + 1}{2} \text{th term} \]
Substituting n = 15:
\[ \text{Median} = \frac{15 + 1}{2} = \frac{16}{2} = 8 \text{th term} \]

### Step 6: Find the 8th Term in the Ordered List
Now, we locate the 8th term in our ordered list:
1. 18
2. 18
3. 20
4. 21
5. 24
6. 26
7. 27
8. **29** (This is the 8th term)

### Conclusion
Thus, the median score of the class is **29**.

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