To find the median for the given data in the table, follow these steps:

Step-by-Step Process:

1. Understand the Median:

   • The median is the middle value of the data when arranged in ascending order.
   • If the total frequency ($n$) is odd, the median is the $\frac{n+1}{2}$-th value.
   • If $n$ is even, the median is the average of the $\frac{n}{2}$-th and $(\frac{n}{2} + 1)$-th values.

2. Identify the Total Frequency ($n$):

   • From the table, add up the frequencies: $n = 10 + 6 + 11 + 13 + 14 + 6 = 60$

3. Find the Median Position:

   • Since $n = 60$ (even), the median will be the average of the 30th and 31st values.

4. Determine the Cumulative Frequency: Create a cumulative frequency column to locate the 30th and 31st values:

   • For $\text{Score} = 1$: $\text{Cumulative Frequency} = 10$
   • For $\text{Score} = 2$: $\text{Cumulative Frequency} = 10 + 6 = 16$
   • For $\text{Score} = 3$: $\text{Cumulative Frequency} = 16 + 11 = 27$
   • For $\text{Score} = 4$: $\text{Cumulative Frequency} = 27 + 13 = 40$
   • For $\text{Score} = 5$: $\text{Cumulative Frequency} = 40 + 14 = 54$
   • For $\text{Score} = 6$: $\text{Cumulative Frequency} = 54 + 6 = 60$

5. Locate the Median Scores:

   • The 30th and 31st values fall within the cumulative frequency range of $27 < 30, 31 \leq 40$, which corresponds to a score of 4.

6. Calculate the Median:

   • Since both the 30th and 31st values have the same score of 4, the median is: $\text{Median} = 4$

Final Answer:

The median score is 4.

If you have more questions or need clarification, let me know! Here are related questions you might find helpful:

1. How do you calculate the mean for grouped data like this?
2. How can you visualize the cumulative frequency with a graph?
3. What happens if the total frequency is odd?
4. How do you interpret mode, mean, and median in such a dataset?
5. How can you find the range of the scores from the data?

Tip: Always organize cumulative frequency carefully to avoid errors when locating the median.