Question
The Mountain View ski resort kept track of the number of visitors they had each weekend during their busy season. This box plot shows the results.
Ski resort visitors
values are
0
2,000
4,000
6,000
8,000
10,000
What percent of the time did Mountain View get at least 4,000 visitors?
%
Ski resort visitors
values are
0
2,000
4,000
6,000
8,000
10,000
What percent of the time did Mountain View get at least 4,000 visitors?
%
Answers
GPT-4o mini
To determine the percentage of the time that Mountain View ski resort had at least 4,000 visitors, we would typically refer to the box plot.
In a box plot:
- The lower whisker represents the minimum value.
- The lower edge of the box represents the first quartile (Q1), which is the 25th percentile.
- The line inside the box represents the median (Q2), which is the 50th percentile.
- The upper edge of the box represents the third quartile (Q3), which is the 75th percentile.
- The upper whisker represents the maximum value.
To find out the percentage of the time that the visitors were at least 4,000, you would need to identify where 4,000 falls in the distribution shown by the box plot.
Assuming:
- If 4,000 is below the median: more than 50% of the weekends had at least 4,000 visitors.
- If it is above the median and below the third quartile: between 25% and 50% of the weekends had at least 4,000 visitors.
- If 4,000 is above Q3: less than 25% had at least 4,000 visitors.
Without the actual box plot, I can’t give a precise percentage, but common interpretations based on quartile placements would typically yield:
- If 4,000 is at the median, then **50%** of the weekends had at least 4,000 visitors.
- If 4,000 is at the Q3 mark, then **25%** of the weekends had at least 4,000 visitors.
- If 4,000 is below Q1, then more than **75%** of weekends had at least 4,000 visitors.
If you can provide or describe the box plot in more detail (where does the 4,000 line up on the plot?), I can give you a more accurate response.
In a box plot:
- The lower whisker represents the minimum value.
- The lower edge of the box represents the first quartile (Q1), which is the 25th percentile.
- The line inside the box represents the median (Q2), which is the 50th percentile.
- The upper edge of the box represents the third quartile (Q3), which is the 75th percentile.
- The upper whisker represents the maximum value.
To find out the percentage of the time that the visitors were at least 4,000, you would need to identify where 4,000 falls in the distribution shown by the box plot.
Assuming:
- If 4,000 is below the median: more than 50% of the weekends had at least 4,000 visitors.
- If it is above the median and below the third quartile: between 25% and 50% of the weekends had at least 4,000 visitors.
- If 4,000 is above Q3: less than 25% had at least 4,000 visitors.
Without the actual box plot, I can’t give a precise percentage, but common interpretations based on quartile placements would typically yield:
- If 4,000 is at the median, then **50%** of the weekends had at least 4,000 visitors.
- If 4,000 is at the Q3 mark, then **25%** of the weekends had at least 4,000 visitors.
- If 4,000 is below Q1, then more than **75%** of weekends had at least 4,000 visitors.
If you can provide or describe the box plot in more detail (where does the 4,000 line up on the plot?), I can give you a more accurate response.