3. The marks of 15 students in an examination are $$ 25,19,17,24,23,29,31,40,19,20,22,26,17,35,21 $$. Find the median score.

Question

UpStudy AI · Accepted Answer

To find the **median** of the given set of marks, follow these steps:

1. **List of Marks:**
   $$
   25,\;19,\;17,\;24,\;23,\;29,\;31,\;40,\;19,\;20,\;22,\;26,\;17,\;35,\;21
   $$

2. **Sort the Marks in Ascending Order:**
   $$
   17,\;17,\;19,\;19,\;20,\;21,\;22,\;23,\;24,\;25,\;26,\;29,\;31,\;35,\;40
   $$

3. **Determine the Number of Students:**
   $$
   n = 15 \quad (\text{which is odd})
   $$

4. **Find the Position of the Median:**
   $$
   \text{Median Position} = \frac{n + 1}{2} = \frac{15 + 1}{2} = 8
   $$

5. **Identify the Median Score:**
   - The 8th term in the sorted list is **23**.

**Therefore, the median score is 23.**
The median score is 23.

3. The marks of 15 students in an examination are \( 25,19,17,24,23,29,31,40,19,20,22,26,17,35,21 \). Find the median score.