Math Problem Statement
Solution
Let's analyze the box-and-whisker plots step by step to answer the questions.
-
Median test score (Question a):
The median is represented by the line inside each box:- Class A: The median is at approximately 75.
- Class B: The median is lower, approximately 70.
Answer: Class A had a higher median test score.
-
Interquartile Range (IQR) (Question b):
The IQR is the length of the box (distance between Q1 and Q3):- Class A: The box is smaller, indicating a smaller IQR.
- Class B: The box is larger, indicating a larger IQR.
Answer: Class B had a larger interquartile range (IQR).
-
Highest test score (Question c):
The highest test score is indicated by the right whisker:- Class A: The highest score is 95.
- Class B: The highest score is approximately 92.
Answer: Class A had the highest test score.
-
Passing scores (above 70) (Question d):
Scores above 70 are passing:- Class A: The entire box (middle 50%) and the right whisker are above 70. Most scores are passing.
- Class B: The left whisker and part of the box are below 70. Fewer scores are passing.
Answer: Class A had more passing scores.
Final Answers:
(a) Class A
(b) Class B
(c) Class A
(d) Class A
Would you like a deeper explanation of any part? Let me know!
Related Questions:
- How do you calculate the interquartile range (IQR) for a boxplot?
- What are the five-number summary components in a boxplot?
- Why is the median a better measure of center for skewed data than the mean?
- How can you identify outliers using a boxplot?
- How would the boxplot change if a single very low test score were removed?
Tip: In a box-and-whisker plot, the length of the box gives the IQR, and whiskers show the range of the data excluding outliers.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Box-and-Whisker Plots
Interquartile Range (IQR)
Median
Data Distribution
Formulas
Interquartile Range (IQR) = Q3 - Q1
Theorems
Five-Number Summary in Statistics
Suitable Grade Level
Grades 6-8