m/courses/93 The five number summary of a dataset was found to be: -18, 6, 10, 11, 23 a) What is the IQR? b) Find the lower limit (ie: an observation is considered an outlier if it is below this). c) Find the upper limit (ie, an observation is considered an outlier if it is above this). d) Do we have any outliers? O no O yes

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
Practice Pack
### Five Number Summary: Understanding Outliers and IQR

---

**The five number summary of a dataset was found to be:**

\-18, 6, 10, 11, 23

---

**Questions:**

1. **What is the IQR?**

   _Answer:_ `__________`

2. **Find the lower limit** (ie: an observation is considered an outlier if it is below this).

   _Answer:_ `__________`

3. **Find the upper limit** (ie: an observation is considered an outlier if it is above this).

   _Answer:_ `__________`

4. **Do we have any outliers?**

   - o No
   - o Yes

   _Answer:_ `__________`

---

**Explanation of Terms:**

- **IQR (Interquartile Range)**: A measure of statistical dispersion, or how spread out the data points are in a dataset. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). 

- **Lower Limit**: To determine if a data point is an outlier on the lower end, we use the formula: Q1 - 1.5 * IQR.

- **Upper Limit**: To determine if a data point is an outlier on the upper end, we use the formula: Q3 + 1.5 * IQR.

- **Outliers**: Data points that fall below the lower limit or above the upper limit.

By understanding and applying these concepts, you can accurately identify outliers and gain more insights from your data analysis.
Transcribed Image Text:### Five Number Summary: Understanding Outliers and IQR --- **The five number summary of a dataset was found to be:** \-18, 6, 10, 11, 23 --- **Questions:** 1. **What is the IQR?** _Answer:_ `__________` 2. **Find the lower limit** (ie: an observation is considered an outlier if it is below this). _Answer:_ `__________` 3. **Find the upper limit** (ie: an observation is considered an outlier if it is above this). _Answer:_ `__________` 4. **Do we have any outliers?** - o No - o Yes _Answer:_ `__________` --- **Explanation of Terms:** - **IQR (Interquartile Range)**: A measure of statistical dispersion, or how spread out the data points are in a dataset. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). - **Lower Limit**: To determine if a data point is an outlier on the lower end, we use the formula: Q1 - 1.5 * IQR. - **Upper Limit**: To determine if a data point is an outlier on the upper end, we use the formula: Q3 + 1.5 * IQR. - **Outliers**: Data points that fall below the lower limit or above the upper limit. By understanding and applying these concepts, you can accurately identify outliers and gain more insights from your data analysis.
Expert Solution
video

Learn your way

Includes step-by-step video

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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