The five number summary of a dataset was found to be: min: 3 Q1: 6 Q2: 10 Q3: 15 max: 20 An observation
The five number summary of a dataset was found to be: min: 3 Q1: 6 Q2: 10 Q3: 15 max: 20 An observation
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
The five number summary of a dataset was found to be:
min: 3
Q1: 6
Q2: 10
Q3: 15
max: 20
An observation is considered an outlier if it is below (find the lower fence):
An observation is considered an outlier if it is above (find the upper fence):
![**Five Number Summary and Outlier Detection**
The five number summary of a dataset was found to be:
- **Minimum (min):** 3
- **First Quartile (Q1):** 6
- **Median (Q2):** 10
- **Third Quartile (Q3):** 15
- **Maximum (max):** 20
**Outlier Detection:**
An observation is considered an outlier if it falls outside a certain range, determined by the calculation of fences:
- **Lower Fence Calculation:**
An observation is considered an outlier if it is below this value:
\[
\text{Lower Fence} = Q1 - 1.5 \times (Q3 - Q1)
\]
- **Upper Fence Calculation:**
An observation is considered an outlier if it is above this value:
\[
\text{Upper Fence} = Q3 + 1.5 \times (Q3 - Q1)
\]
**Input Boxes:**
- Enter the calculated lower fence value.
- Enter the calculated upper fence value.
Once you have determined the fences, any data point outside of this range is classified as an outlier.
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Transcribed Image Text:**Five Number Summary and Outlier Detection**
The five number summary of a dataset was found to be:
- **Minimum (min):** 3
- **First Quartile (Q1):** 6
- **Median (Q2):** 10
- **Third Quartile (Q3):** 15
- **Maximum (max):** 20
**Outlier Detection:**
An observation is considered an outlier if it falls outside a certain range, determined by the calculation of fences:
- **Lower Fence Calculation:**
An observation is considered an outlier if it is below this value:
\[
\text{Lower Fence} = Q1 - 1.5 \times (Q3 - Q1)
\]
- **Upper Fence Calculation:**
An observation is considered an outlier if it is above this value:
\[
\text{Upper Fence} = Q3 + 1.5 \times (Q3 - Q1)
\]
**Input Boxes:**
- Enter the calculated lower fence value.
- Enter the calculated upper fence value.
Once you have determined the fences, any data point outside of this range is classified as an outlier.
**[Submit Question Button]**
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