Question
Use the box and whisker plot below to answer the following: (3 points) The range of the number of visitors at the park was . What percent of the number of visitors lies between 175 and 250? What percent of the number of visitors likes between 250 and 350?
Answers
GPT-4o mini
To provide an accurate response regarding the box and whisker plot and the specific questions you've asked, I would need the actual box and whisker plot that you mentioned. However, I can help explain how to derive the answers based on the information typically provided by such a plot.
1. **Finding the range**: The range is calculated by taking the highest value (maximum) and subtracting the lowest value (minimum) from the data set. In the context of a box plot, this would be the difference between the maximum value (the top of the whisker) and the minimum value (the bottom of the whisker).
2. **Percent of visitors between certain values**: A box and whisker plot divides the data into quartiles. Here's how to assess the percentages you're interested in:
- The \(1^{st}\) quartile (Q1) represents the 25th percentile, the median (Q2) represents the 50th percentile, and the \(3^{rd}\) quartile (Q3) represents the 75th percentile.
- To find the percentage of visitors between specific values, you would look at where those values fall relative to Q1, Q2, and Q3. For example:
- If 175 is less than Q1, and 250 is between Q1 and Q2, then you would estimate the percentage based on the interquartile ranges.
- If both 250 and 350 fall between Q2 and Q3, then you would calculate the percentage based on that placement.
To summarize, without the visual of the box and whisker plot, I can only guide you on how to interpret it. If you can provide specific values or more details about the plot, I'd be happy to assist you further with the calculations!
1. **Finding the range**: The range is calculated by taking the highest value (maximum) and subtracting the lowest value (minimum) from the data set. In the context of a box plot, this would be the difference between the maximum value (the top of the whisker) and the minimum value (the bottom of the whisker).
2. **Percent of visitors between certain values**: A box and whisker plot divides the data into quartiles. Here's how to assess the percentages you're interested in:
- The \(1^{st}\) quartile (Q1) represents the 25th percentile, the median (Q2) represents the 50th percentile, and the \(3^{rd}\) quartile (Q3) represents the 75th percentile.
- To find the percentage of visitors between specific values, you would look at where those values fall relative to Q1, Q2, and Q3. For example:
- If 175 is less than Q1, and 250 is between Q1 and Q2, then you would estimate the percentage based on the interquartile ranges.
- If both 250 and 350 fall between Q2 and Q3, then you would calculate the percentage based on that placement.
To summarize, without the visual of the box and whisker plot, I can only guide you on how to interpret it. If you can provide specific values or more details about the plot, I'd be happy to assist you further with the calculations!