The box plot below shows the number of emails received by 100 people over the course of one day.

Which of the following statements is true about the data?
Responses

A More people received between 9 and 11 emails than received between 16 and 20 emails.More people received between 9 and 11 emails than received between 16 and 20 emails.

B Fewer people received between 9 and 11 emails than received between 16 and 20 emails.Fewer people received between 9 and 11 emails than received between 16 and 20 emails.

C There is not enough information to compare the number of people who received between 9 and 11 emails with the number of people who received between 16 and 20 emails.There is not enough information to compare the number of people who received between 9 and 11 emails with the number of people who received between 16 and 20 emails.

D An equal number of people received between 9 and 11 emails as received between 16 and 20 emails.

1 answer

To determine which statement is true about the data represented in the box plot, we need to analyze the box plot visually or consider typical characteristics of the data distribution it may depict. Unfortunately, I can't see the box plot itself.

However, I can guide you on how to approach this:

  • Box Plot Basics: Box plots show the median, quartiles, and potential outliers in a dataset. They don't provide specific counts of how many individuals fall within certain ranges directly, but they do show the spread of data points.

  • Comparing Ranges: To accurately compare the number of people who received between 9 and 11 emails with those who received between 16 and 20 emails, you would typically look for:

    • The height of the boxes or lines representing those ranges.
    • Any associated frequencies if represented (e.g., data points or a histogram alongside).

Now analyze each choice:

A: More people received between 9 and 11 emails than received between 16 and 20 emails.

  • You would need to determine if the part of the box plot corresponding to 9-11 emails is larger than that for 16-20.

B: Fewer people received between 9 and 11 emails than received between 16 and 20 emails.

  • Similar analysis as A; this could only be true if the box plot indicates that.

C: There is not enough information to compare the number of people who received between 9 and 11 emails with the number of people who received between 16 and 20 emails.

  • Possible if the box plot does not clearly delineate counts.

D: An equal number of people received between 9 and 11 emails as received between 16 and 20 emails.

  • This can only be confirmed if the sections are the same height on the box plot.

Conclusion: If you can't directly interpret separate counts from the box plot, C would generally be the safest conclusion without additional information.

If you can provide more specific details about the box plot or its visual representation, I can help you arrive at a more definitive answer!