1. Use the box and whisker chart below to answer the following questions: a. What percent of Average Minutes Per Night Spent On Homework students spend more than 60 minutes on homework per night? 020 48 60 190 b. What are the four quartiles of the chart?
1. Use the box and whisker chart below to answer the following questions: a. What percent of Average Minutes Per Night Spent On Homework students spend more than 60 minutes on homework per night? 020 48 60 190 b. What are the four quartiles of the chart?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![### Understanding Box and Whisker Plots: Homework Data Analysis
#### 1. Use the box and whisker chart below to answer the following questions:
##### Average Minutes Per Night Spent On Homework
*Graph Description:*
- The box and whisker plot displayed shows the distribution of the average minutes per night spent on homework by students.
- The minimum value (lower whisker) is at 0 minutes.
- The first quartile (Q1) is approximately at 20 minutes.
- The median (Q2) is at 48 minutes.
- The third quartile (Q3) is at 60 minutes.
- The maximum value (upper whisker) extends up to 190 minutes.
##### a. What percent of students spend more than 60 minutes on homework per night?
To determine the percent of students spending more than 60 minutes on homework per night, look at the position of the third quartile (Q3) in the box plot. Since the third quartile is at 60 minutes, 75% of the data lies below this value. Therefore, 25% of students spend more than 60 minutes on homework per night.
##### b. What are the four quartiles of the chart?
The quartiles are values that divide a set of data into four equal parts:
- **Minimum (Q0 or Q0%):** 0 minutes
- **First Quartile (Q1 or Q25%):** 20 minutes
- **Median (Q2 or Q50%):** 48 minutes
- **Third Quartile (Q3 or Q75%):** 60 minutes
- **Maximum (Q4 or Q100%):** 190 minutes
##### c. What is the interquartile range?
The Interquartile Range (IQR) is the difference between the third quartile and the first quartile.
\[ \text{IQR} = Q3 - Q1 = 60 \text{ minutes} - 20 \text{ minutes} = 40 \text{ minutes} \]
##### d. Are there any outliers?
Outliers are typically defined as values that are 1.5 times the IQR above the third quartile or below the first quartile. In this plot, we look beyond the whiskers to determine if there are any values considered outliers.
- In this case, the maximum value (190 minutes) could be considered an out](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4458d178-5b6e-4929-aa4c-dd76c8ad8f40%2F653f9b6c-b68b-431c-804e-3d5bc9601d89%2Fvml5c7_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Box and Whisker Plots: Homework Data Analysis
#### 1. Use the box and whisker chart below to answer the following questions:
##### Average Minutes Per Night Spent On Homework
*Graph Description:*
- The box and whisker plot displayed shows the distribution of the average minutes per night spent on homework by students.
- The minimum value (lower whisker) is at 0 minutes.
- The first quartile (Q1) is approximately at 20 minutes.
- The median (Q2) is at 48 minutes.
- The third quartile (Q3) is at 60 minutes.
- The maximum value (upper whisker) extends up to 190 minutes.
##### a. What percent of students spend more than 60 minutes on homework per night?
To determine the percent of students spending more than 60 minutes on homework per night, look at the position of the third quartile (Q3) in the box plot. Since the third quartile is at 60 minutes, 75% of the data lies below this value. Therefore, 25% of students spend more than 60 minutes on homework per night.
##### b. What are the four quartiles of the chart?
The quartiles are values that divide a set of data into four equal parts:
- **Minimum (Q0 or Q0%):** 0 minutes
- **First Quartile (Q1 or Q25%):** 20 minutes
- **Median (Q2 or Q50%):** 48 minutes
- **Third Quartile (Q3 or Q75%):** 60 minutes
- **Maximum (Q4 or Q100%):** 190 minutes
##### c. What is the interquartile range?
The Interquartile Range (IQR) is the difference between the third quartile and the first quartile.
\[ \text{IQR} = Q3 - Q1 = 60 \text{ minutes} - 20 \text{ minutes} = 40 \text{ minutes} \]
##### d. Are there any outliers?
Outliers are typically defined as values that are 1.5 times the IQR above the third quartile or below the first quartile. In this plot, we look beyond the whiskers to determine if there are any values considered outliers.
- In this case, the maximum value (190 minutes) could be considered an out
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman