Find the mean, median, and mode of the following set of data which represents the nationality of a group of tourists in Southeast Asia.

Nationality	Frequency
French	27
Dominican	24
Japanese	34
Filipino	10

What is the mean of the data set?
23.75
Incorrect

What is the median of the data set?
30.5
Incorrect

What is the mode of the data set?
DNE
Incorrect

Let's analyze the problem step by step:

The data set represents the frequency of tourists from different nationalities. To find the **mean**, **median**, and **mode**, we should treat the frequencies as the values of interest.

Here is the data set:

- French: 27 tourists
- Dominican: 24 tourists
- Japanese: 34 tourists
- Filipino: 10 tourists

### Mean:
The mean is the average of the data, calculated by dividing the total sum of frequencies by the number of data points.

1. **Total sum of frequencies**: \( 27 + 24 + 34 + 10 = 95 \)
2. **Number of data points**: There are 4 nationalities.

So, the mean \( \text{Mean} = \frac{95}{4} = 23.75 \).

So, **23.75** is indeed correct for the mean.

### Median:
The median is the middle value when the data is arranged in ascending order. Since we have 4 data points, the median is the average of the two middle values.

Arrange the frequencies in ascending order:

- Filipino: 10
- Dominican: 24
- French: 27
- Japanese: 34

Since we have an even number of data points, the median is the average of the two middle values (24 and 27).

\[
\text{Median} = \frac{24 + 27}{2} = \frac{51}{2} = 25.5
\]

So, the correct median is **25.5**, not 30.5.

### Mode:
The mode is the value that appears most frequently. In this case, each nationality appears only once, and the frequency values are different, so there is **no mode**.

However, the mode should be correctly represented as **"None"** or **"DNE" (Does Not Exist)**, so this part is correct.

### Summary:
- Mean: **23.75** (Correct)
- Median: **25.5** (Incorrect in your original answer, but this is the correct value)
- Mode: **None** (Correct)

If you have any further questions or would like more details on how the calculations were made, let me know!

Here are 5 related questions to expand your understanding:
1. How do you calculate the mean for a larger data set?
2. What happens if you have an odd number of data points when calculating the median?
3. How do you handle a mode if more than one value occurs the same number of times?
4. What is the relationship between mean, median, and mode in a normal distribution?
5. How do outliers affect the mean, median, and mode in a data set?

**Tip**: When working with a data set, always arrange it in order before calculating the median to avoid errors.

Learn how to calculate the mean, median, and mode of tourist nationalities in Southeast Asia using statistical methods. Understand the steps involved in finding these measures with a practical example including French, Dominican, Japanese, and Filipino tourists. Suitable for students in Grades 9-12.

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