At least what percent of the students volunteered between 15 and 30 hours?
Understand the Problem
The question is asking about the percentage of students who volunteered between 15 and 30 hours based on a provided box plot. To answer it, we need to analyze the box plot and determine the number of students falling within that range.
Answer
At least 50% of the students volunteered between 15 and 30 hours.
Answer for screen readers
At least 50% of the students volunteered between 15 and 30 hours.
Steps to Solve
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Identify the Box Plot Components
Examine the box plot. The box represents the interquartile range (IQR), where the edges of the box are the first quartile (Q1) and third quartile (Q3). The line inside the box represents the median. -
Determine the Range for Volunteer Hours
From the box plot, observe that:- The left edge of the box is at 15 hours (Q1).
- The right edge of the box is at 30 hours (Q3).
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Analyze the Percent of Students in the Range
The box plot shows that hours between the minimum (5 hours) and Q1 (15 hours), as well as between Q3 (30 hours) and the maximum (45 hours), are less than the box. This indicates that students volunteering within the box (15 to 30 hours) represent 50% of the data. -
Final Calculation of Percentage
The percentage of students who volunteered between 15 and 30 hours corresponds to the range of the box. Since the interquartile range contains 50% of the students, we conclude that at least 50% of the students volunteered between 15 and 30 hours.
At least 50% of the students volunteered between 15 and 30 hours.
More Information
The IQR in a box plot helps in understanding how data is distributed. The values between 15 and 30 hours, which fall within the box, suggest that a significant portion of students volunteered in that range, demonstrating a common trend in student participation.
Tips
Common mistakes include:
- Misinterpreting the box plot by assuming the range outside the box represents the majority of students.
- Ignoring the significance of the box in indicating the central tendency.
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