Math Problem Statement

Which class had test scores with a larger interquartile range (IQR)?

Solution

To determine which class had a larger interquartile range (IQR), we need to look at the length of the box in each box-and-whisker plot. The IQR represents the range between the first quartile (Q1) and the third quartile (Q3) and is visualized as the length of the central box in these plots.

From the image:

  • Class A has a noticeably wider box, indicating a larger IQR.
  • Class B has a narrower box, suggesting a smaller IQR.

Thus, Class A had test scores with a larger interquartile range (IQR).

Would you like more details on this answer or have additional questions?

Here are five related questions to expand understanding:

  1. How is the interquartile range (IQR) calculated from a box plot?
  2. What does a larger IQR indicate about the spread of scores within a class?
  3. How do outliers affect the interpretation of box-and-whisker plots?
  4. Why might one class have a larger IQR than another?
  5. How can we use the box plot to compare the median scores of both classes?

Tip: In a box-and-whisker plot, the range covered by the central box represents the IQR, which shows the middle 50% of data values.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Statistics
Box-and-Whisker Plot
Interquartile Range (IQR)

Formulas

IQR = Q3 - Q1

Theorems

-

Suitable Grade Level

Grades 6-8