It looks like you've uploaded a homework sheet titled "Box & Whisker Homework," which includes two problems based on box-and-whisker plots. However, I currently can't view images or access files directly. To help you solve the problems, please provide the following:
1.
The data or description of the first box-and-whisker plot (for the test scores).
2.
The data or description of the second box-and-whisker plot (for the homework time).
Alternatively, if you can describe the five-number summary (minimum, first quartile Q1, median, third quartile Q3, maximum) for each plot, I can walk you through solving all the questions step by step.
For now, here’s how to approach each type of question:
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Part 1: Test Scores (Question 1–5)
Assuming you have a box-and-whisker plot showing test scores:
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Q1: What was the high score? → Look at the
maximum value (right end of the whisker).
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Q2: What percent of the class scored above 72? → Find where 72 falls in the plot. If it's below the median, more than 50% scored higher. Use quartiles to estimate.
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Q3: What was the median score? → The
median is the line inside the box.
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Q4: What percent scored between 88 & 96? → Find what percent of data lies between those values using the quartiles.
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Q5: Was the test hard? → Compare median and spread. If median is low, maybe yes. Also consider outliers.
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Part 2: Homework Time (Question 6–9)
With a box-and-whisker plot showing average minutes spent on homework:
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Q6: Mean vs. Median → If the distribution is skewed right (long tail), mean > median. Skewed left → mean < median.
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Q7: Percent spending more than 60 minutes → See if 60 is above Q3 or not. If 60 is greater than Q3, then 25% are above that. If 60 is between Q3 and max, use interpolation.
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Q8: Time when 50% spent less → That’s the
median.
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Q9: Percent spending less than 20 minutes → Check if 20 is below Q1. If so, about 25% are below it. If 20 is between min and Q1, calculate proportion.
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Please reply with:
- The
five-number summary for each plot (min, Q1, median, Q3, max), or
- A description of the plots (e.g., “The test scores range from 38 to 102, with Q1=65, median=78, Q3=90”)
Then I’ll solve all the questions for you with clear explanations!
Parent Tip: Review the logic above to help your child master the concept of box plots worksheet.