Homework Help is Here – Start Your Trial Now!
Math
Statistics
Calculate the 5 number summary and the interquartile range of the following data: 18, 50, 45, 35, 72, 38, 28, 56, 64, 24, 52, 43, 42, 46, 67

Calculate the 5 number summary and the interquartile range of the following data: 18, 50, 45, 35, 72, 38, 28, 56, 64, 24, 52, 43, 42, 46, 67

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
### Five Number Summary and Interquartile Range Calculation To calculate the five number summary and the interquartile range of the following data set: \[ 18, 50, 45, 35, 72, 38, 28, 56, 64, 24, 52, 43, 42, 46, 67 \] #### Five Number Summary - **Q1** (First Quartile) = [Insert calculation here] - **Q2** (Median) = [Insert calculation here] - **Q3** (Third Quartile) = [Insert calculation here] - **Min** (Minimum value) = [Insert calculation here] - **Max** (Maximum value) = [Insert calculation here] #### Interquartile Range (IQR) \[ \text{IQR} = Q3 - Q1 \] - **IQR** = [Insert calculation here] #### Potential Outlier There is a potential outlier in this data set. - **A. False** - **B. True** Please perform the calculations as follows to fill in the summary: 1. **Sort the Data:** \[ 18, 24, 28, 35, 38, 42, 43, 45, 46, 50, 52, 56, 64, 67, 72 \] 2. **Calculate Q1, Q2, and Q3:** - **Q1:** The median of the first half of the data - **Q2 (Median):** The median of the entire data set - **Q3:** The median of the second half of the data 3. **Find Min and Max:** - **Min:** The smallest number in the data set - **Max:** The largest number in the data set 4. **Calculate the IQR:** - Subtract Q1 from Q3 to get the IQR Use the results from the calculations to complete the five number summary and determine if there is a potential outlier in the data set.
Transcribed Image Text:### Five Number Summary and Interquartile Range Calculation To calculate the five number summary and the interquartile range of the following data set: \[ 18, 50, 45, 35, 72, 38, 28, 56, 64, 24, 52, 43, 42, 46, 67 \] #### Five Number Summary - **Q1** (First Quartile) = [Insert calculation here] - **Q2** (Median) = [Insert calculation here] - **Q3** (Third Quartile) = [Insert calculation here] - **Min** (Minimum value) = [Insert calculation here] - **Max** (Maximum value) = [Insert calculation here] #### Interquartile Range (IQR) \[ \text{IQR} = Q3 - Q1 \] - **IQR** = [Insert calculation here] #### Potential Outlier There is a potential outlier in this data set. - **A. False** - **B. True** Please perform the calculations as follows to fill in the summary: 1. **Sort the Data:** \[ 18, 24, 28, 35, 38, 42, 43, 45, 46, 50, 52, 56, 64, 67, 72 \] 2. **Calculate Q1, Q2, and Q3:** - **Q1:** The median of the first half of the data - **Q2 (Median):** The median of the entire data set - **Q3:** The median of the second half of the data 3. **Find Min and Max:** - **Min:** The smallest number in the data set - **Max:** The largest number in the data set 4. **Calculate the IQR:** - Subtract Q1 from Q3 to get the IQR Use the results from the calculations to complete the five number summary and determine if there is a potential outlier in the data set.
Expert Solution
steps

Step by step

Solved in 7 steps with 13 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS