The box-and-whisker plot shown to the right represents the quiz scores of Mrs. Collins' math class. Did more students score 45-100 points or 100-110 points?
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Part 1
Choose the correct answer below.
A.
More students scored 45-100 points than 100-110 points.
B.
More students scored 100-110 points than 45-100 points.
C.
The number of students who scored 45-100 points is equal to the number of students who scored 100-110 points.
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45
60
75
90
105
120
x y graph
Question content area bottom
Part 1
Choose the correct answer below.
A.
More students scored 45-100 points than 100-110 points.
B.
More students scored 100-110 points than 45-100 points.
C.
The number of students who scored 45-100 points is equal to the number of students who scored 100-110 points.
Answers
Answered by
GPT-4o mini
To determine whether more students scored between 45-100 points or 100-110 points based on the box-and-whisker plot, we need to analyze the distribution of scores represented by the plot.
1. **Identify the quartiles** from the box-and-whisker plot:
- The lower quartile (Q1), which is typically the left edge of the box, represents the 25th percentile.
- The median (Q2), shown by the line inside the box, represents the 50th percentile.
- The upper quartile (Q3), represented by the right edge of the box, indicates the 75th percentile.
- The whiskers extend to the minimum and maximum values.
2. **Determine the number of students in each score range:**
- For scores from 45-100 points, we need to calculate those students who scored up to the upper quartile (Q3), which is 100 points.
- For scores from 100-110 points, we observe the range between the upper quartile and the maximum score.
Without the visual representation of the box-and-whisker plot, we cannot compute the specific number of students in each range. However, typically:
- Scores from 45-100 points encompass a larger range and include students from the 25th percentile to the 75th percentile.
- Scores from 100-110 points are likely to represent a smaller number of students if they only encompass the uppermost part of the distribution.
Given the general structure of box-and-whisker plots, if we assume standard distributions:
- Option A is generally more plausible – More students scored between 45-100 points than 100-110 points.
However, it’s essential to visualize the box-and-whisker plot to confirm the correct answer. If the plot is not available, the best guess based on statistical norms would be **A**. More students scored 45-100 points than 100-110 points.
1. **Identify the quartiles** from the box-and-whisker plot:
- The lower quartile (Q1), which is typically the left edge of the box, represents the 25th percentile.
- The median (Q2), shown by the line inside the box, represents the 50th percentile.
- The upper quartile (Q3), represented by the right edge of the box, indicates the 75th percentile.
- The whiskers extend to the minimum and maximum values.
2. **Determine the number of students in each score range:**
- For scores from 45-100 points, we need to calculate those students who scored up to the upper quartile (Q3), which is 100 points.
- For scores from 100-110 points, we observe the range between the upper quartile and the maximum score.
Without the visual representation of the box-and-whisker plot, we cannot compute the specific number of students in each range. However, typically:
- Scores from 45-100 points encompass a larger range and include students from the 25th percentile to the 75th percentile.
- Scores from 100-110 points are likely to represent a smaller number of students if they only encompass the uppermost part of the distribution.
Given the general structure of box-and-whisker plots, if we assume standard distributions:
- Option A is generally more plausible – More students scored between 45-100 points than 100-110 points.
However, it’s essential to visualize the box-and-whisker plot to confirm the correct answer. If the plot is not available, the best guess based on statistical norms would be **A**. More students scored 45-100 points than 100-110 points.