Question
Gabby is working on reducing traffic in her town. Last week, she tracked how many cars drove down Main Street each hour. This box plot shows the results.
Cars per hour
20
60
100
140
180
120
What percent of the time did Main Street have 100 or more cars per hour?
%
Cars per hour
20
60
100
140
180
120
What percent of the time did Main Street have 100 or more cars per hour?
%
Answers
GPT-4o mini
To determine the percentage of the time that Main Street had 100 or more cars per hour based on the box plot data, we need to analyze the data generally represented by a box plot.
In a box plot:
- The lower quartile (Q1) marks the 25th percentile of the data.
- The median (Q2) marks the 50th percentile of the data.
- The upper quartile (Q3) marks the 75th percentile of the data.
The box plot shows five key values:
- Minimum
- Q1
- Median (Q2)
- Q3
- Maximum
Typically, the values of interest here include 100 cars, which we need to determine if it falls above the median or quartiles:
Since we have:
- Min: 20
- Q1: 60
- Median (Q2): 100
- Q3: 140
- Max: 180
The median is 100, which indicates that 50% of the time there were fewer than 100 cars per hour, and 50% of the time there were 100 or more cars per hour.
To summarize:
- **50%** of the time, there were 100 or more cars per hour on Main Street.
Therefore, the percentage of the time that Main Street had 100 or more cars per hour is **50%**.
In a box plot:
- The lower quartile (Q1) marks the 25th percentile of the data.
- The median (Q2) marks the 50th percentile of the data.
- The upper quartile (Q3) marks the 75th percentile of the data.
The box plot shows five key values:
- Minimum
- Q1
- Median (Q2)
- Q3
- Maximum
Typically, the values of interest here include 100 cars, which we need to determine if it falls above the median or quartiles:
Since we have:
- Min: 20
- Q1: 60
- Median (Q2): 100
- Q3: 140
- Max: 180
The median is 100, which indicates that 50% of the time there were fewer than 100 cars per hour, and 50% of the time there were 100 or more cars per hour.
To summarize:
- **50%** of the time, there were 100 or more cars per hour on Main Street.
Therefore, the percentage of the time that Main Street had 100 or more cars per hour is **50%**.