Question
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.
Ask by Carter Lindsey. in India
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The median score is 23.
Solution
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.**
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To find the median, first, you need to arrange the scores in ascending order: \( 17, 17, 19, 19, 20, 21, 22, 23, 24, 25, 26, 29, 31, 35, 40 \). Since there are 15 scores (an odd number), the median will be the middle score, which is the 8th score in the arranged list. So, the median score is \( 23 \).
