The box plot shows the number of years during which 24 colleges have participated in a local college fair:At least how many schools have participated for 2 years or fewer? (4 points)2 schools4 schools6 schools7 schools
Question
The box plot shows the number of years during which 24 colleges have participated in a local college fair:At least how many schools have participated for 2 years or fewer? (4 points)2 schools4 schools6 schools7 schools
Solution
To determine how many schools have participated for 2 years or fewer, we need to look at the box plot and identify the number of schools that fall within this range.
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Identify the relevant part of the box plot: The box plot typically shows the minimum, first quartile (Q1), median, third quartile (Q3), and maximum values. We are interested in the number of schools that have participated for 2 years or fewer.
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Locate the value of 2 years on the box plot: Find the point on the box plot that corresponds to 2 years.
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Determine the number of schools: Since the box plot represents 24 colleges, we need to see how many of these colleges fall at or below the 2-year mark. This is usually represented by the leftmost part of the box plot (the minimum value and possibly part of the first quartile).
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Count the schools: If the value of 2 years falls within the first quartile (Q1), we need to count the number of schools up to that point. The first quartile represents the first 25% of the data. Since there are 24 schools, 25% of 24 is 6 schools.
Therefore, at least 6 schools have participated for 2 years or fewer. The correct answer is:
6 schools
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