Question
Last year, Nicholas started babysitting to earn extra spending money. Over the summer, he tracked how much money he earned at each babysitting job. This box plot shows the results.
Babysitting earnings ($)
10
20
30
40
50
60
What percent of the time did Nicholas earn $25 or less?
%
Babysitting earnings ($)
10
20
30
40
50
60
What percent of the time did Nicholas earn $25 or less?
%
Answers
GPT-4o mini
To interpret the box plot and answer the question about Nicholas's earnings, we need to understand how the data is distributed. A box plot visually represents the five-number summary of a dataset: minimum, first quartile (Q1), median, third quartile (Q3), and maximum.
In a box plot:
- The lower whisker represents the minimum value.
- The left edge of the box denotes the first quartile (Q1), which is the 25th percentile.
- The line in the middle of the box indicates the median (50th percentile).
- The right edge of the box is the third quartile (Q3), which is the 75th percentile.
- The upper whisker represents the maximum value.
Given that we need to find the percentage of times Nicholas earned $25 or less, we can assume from typical box plot characteristics:
- If $25 is at or below Q1, then 25% of his earnings were $25 or less.
- If $25 is between Q1 and the median, then the percentage would be more than 25% but less than 50%.
- If $25 is equal to the median, then 50% would be $25 or less.
- If $25 is above the median but below Q3, the percentage would be somewhere above 50% but below 75%.
Without the exact positions of the quartiles and other key points from the box plot, you can estimate that if $25 lies at or below Q1, Nicholas earned $25 or less around 25% of the time. If we observe that $25 is exactly at Q1, then you can conclude it's 25%.
To provide a precise answer, we would require the exact values from the box plot to accurately determine the percentage of times he earned $25 or less. If you can provide those values, I could assist further! However, based on standard interpretations, you could operate on the estimates provided above.
In a box plot:
- The lower whisker represents the minimum value.
- The left edge of the box denotes the first quartile (Q1), which is the 25th percentile.
- The line in the middle of the box indicates the median (50th percentile).
- The right edge of the box is the third quartile (Q3), which is the 75th percentile.
- The upper whisker represents the maximum value.
Given that we need to find the percentage of times Nicholas earned $25 or less, we can assume from typical box plot characteristics:
- If $25 is at or below Q1, then 25% of his earnings were $25 or less.
- If $25 is between Q1 and the median, then the percentage would be more than 25% but less than 50%.
- If $25 is equal to the median, then 50% would be $25 or less.
- If $25 is above the median but below Q3, the percentage would be somewhere above 50% but below 75%.
Without the exact positions of the quartiles and other key points from the box plot, you can estimate that if $25 lies at or below Q1, Nicholas earned $25 or less around 25% of the time. If we observe that $25 is exactly at Q1, then you can conclude it's 25%.
To provide a precise answer, we would require the exact values from the box plot to accurately determine the percentage of times he earned $25 or less. If you can provide those values, I could assist further! However, based on standard interpretations, you could operate on the estimates provided above.