begin array c c Scores amp 3 amp 6 amp 5 amp 2 ... - JAMB Mathematics 2024 Question
(\begin{array}{c|c}
Scores & 3 & 6 & 5 & 2 \
\hline
Frequency & 2 & 3 & 4 & 6
\end{array})
From the table above, find the median
A
3
B
5
C
4
D
6
Ask EduPadi AI for a Detailed Answer
Correct Option: A
To find the median, we first need to organise the data from the table. The table gives us the scores and their corresponding frequencies:
| Scores | 3 | 6 | 5 | 2 |
| Frequency | 2 | 3 | 4 | 6 |
Now, we need to list all the data points based on their frequency:
- Score 3 appears 2 times: 3, 3
- Score 6 appears 3 times: 6, 6, 6
- Score 5 appears 4 times: 5, 5, 5, 5
- Score 2 appears 6 times: 2, 2, 2, 2, 2, 2
The ordered data is:
2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5, 6, 6, 6
There are 15 data points in total. The median is the middle value. Since the total number of data points is odd (15), the position of the median is:
\(\frac{15 + 1}{2} = 8\)
The 8th value in the ordered list is 3.
Thus, the median is 3.
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