https://file.aiquickdraw.com/mathbot/file/1726676200836kppoqask.jpg

Let's go through the questions one by one and solve them.

### Question 17:
We need to calculate **P24** for the given data, which means the 24th percentile (P24). To do this, we use the formula for percentiles:
\[
P_k = \frac{k}{100} \times (n + 1)
\]
Where \( k = 24 \), and \( n \) is the total number of respondents.

From the table:
- \( n = 2 + 5 + 10 + 12 + 9 + 16 + 20 + 23 + 21 + 14 + 10 = 142 \)

Let's calculate the 24th percentile using this information.

### Question 18:
We're asked to find 15% of the days when the museum had the highest number of visitors. This will correspond to finding the top 15% of the frequency distribution and determining the range that these days belong to.

- Total frequency = \( 1 + 3 + 4 + 5 + 10 + 8 + 2 = 33 \)
- 15% of 33 = 0.15 × 33 = 4.95 ≈ 5 (days)
  
Now, we add up the frequencies from the highest categories until we reach 5.

### Question 19:
We're asked to determine the range of the scores from 10 respondents:
- Scores: \( 34, 36, 25, 21, 38, 30, 32, 28, 29, 35 \)
- The range is the difference between the highest and lowest values. 

Let's calculate that.

### Question 20:
We need to find the semi-interquartile range (Q3 - Q1) for the given data on social media account ownership:
- The dataset has 6 categories of ownership, with frequencies provided. 

I'll now calculate each of these answers step by step.Here are the answers to the questions based on the calculations:

### Question 17:
The 24th percentile (P24) corresponds to a score of **34.32**.

### Question 18:
15% of the days with the highest number of visitors (rounded) belong to the group where **251–300** visitors were recorded.

### Question 19:
The range of the scores is **17** (38 - 21).

### Question 20:
The semi-interquartile range (Q3 - Q1) for the social media account ownership data is **0.5**.

Would you like any further explanation or details on any of the steps?

Here are 5 related questions for further exploration:
1. How is the 50th percentile (median) calculated for the data in Question 17?
2. What is the mean score from the table in Question 17?
3. What percentage of days had fewer than 200 visitors in Question 18?
4. How would you calculate the variance for the scores in Question 19?
5. What is the interquartile range (IQR) for the data in Question 20?

**Tip:** Percentiles divide the data into 100 equal parts, while quartiles divide it into four.

Solve the following math problems related to survey data and percentile calculations, and provide answers for each question.

Explore how to calculate the 24th percentile from survey scores, determine the range of scores among respondents, and compute the semi-interquartile range for social media account ownership data. These exercises are designed for high school students learning statistics.

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