O DESCRIPTIVE STATISTICS Using the IQR to find outliers in a dat... 9 (b) Find the interquartile range (IQR) of the data set. The last 11 calls to a customer support line had the following lengths (in minutes). 52, 53, 53, 54, 55, 56, 60, 62, 63, 64, 99 Complete the parts below to identify any outliers. (a) Let Q₁ be the lower quartile and 3 be the upper quartile of the data set. Find 2, and 2, for the data set. IQR = [ Lower boundary: Upper boundary: X X Outliers: X 0.0 S (c) Calculate a lower boundary using Q₁-1.5 IQR. Calculate an upper boundary using Q3 +1.5-IQR. (Note that 1.5-IQR means 1.5 times the IQR.) 2/5 S None Dianne V Español (d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all the outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, click "None". 2 16 T
O DESCRIPTIVE STATISTICS Using the IQR to find outliers in a dat... 9 (b) Find the interquartile range (IQR) of the data set. The last 11 calls to a customer support line had the following lengths (in minutes). 52, 53, 53, 54, 55, 56, 60, 62, 63, 64, 99 Complete the parts below to identify any outliers. (a) Let Q₁ be the lower quartile and 3 be the upper quartile of the data set. Find 2, and 2, for the data set. IQR = [ Lower boundary: Upper boundary: X X Outliers: X 0.0 S (c) Calculate a lower boundary using Q₁-1.5 IQR. Calculate an upper boundary using Q3 +1.5-IQR. (Note that 1.5-IQR means 1.5 times the IQR.) 2/5 S None Dianne V Español (d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all the outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, click "None". 2 16 T
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![# Using the IQR to Find Outliers in a Data Set
## Problem Statement
The last 11 calls to a customer support line had the following lengths (in minutes):
52, 53, 53, 54, 56, 60, 62, 63, 64, 99
Complete the parts below to identify any outliers.
### Steps to Follow
#### (a) Quartiles
1. **Find the Lower Quartile (\(Q_1\))** and the Upper Quartile (\(Q_3\)) of the data set.
Enter the values for \(Q_1\) and \(Q_3\).
| Quartile | Value |
|----------|-------|
| \(Q_1\) | |
| \(Q_3\) | |
#### (b) Interquartile Range (IQR)
2. **Find the Interquartile Range (IQR)** of the data set.
\(\text{IQR} = Q_3 - Q_1\)
IQR: [Enter value]
#### (c) Calculate Boundaries
3. **Calculate a Lower Boundary** using \(Q_1 - 1.5 \times \text{IQR}\).
4. **Calculate an Upper Boundary** using \(Q_3 + 1.5 \times \text{IQR}\)
(Note that 1.5-IQR means 1.5 times the IQR).
| Boundary | Value |
|----------------|-------|
| Lower boundary | |
| Upper boundary | |
#### (d) Identify Outliers
5. **Identify outliers**: Any values less than the lower boundary or greater than the upper boundary are considered outliers. List all outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, select "None".
Outliers: [Enter values]
### Interface Controls
- **Check Button:** Verify your answers.
- **Explanation Button:** View an explanation of the process.
- **None Box:** Select if there are no outliers.
The task is to apply the steps to calculate quartiles, IQR, boundaries, and determine the outliers. Enter the computed values in the corresponding fields.
---
This educational tool helps in understanding how to systematically identify out](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bd49ae7-8b45-446c-8381-0655d7ffd02d%2Fc223b3fe-ba7e-4a17-8f66-ec9b11d35586%2F950q7lp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:# Using the IQR to Find Outliers in a Data Set
## Problem Statement
The last 11 calls to a customer support line had the following lengths (in minutes):
52, 53, 53, 54, 56, 60, 62, 63, 64, 99
Complete the parts below to identify any outliers.
### Steps to Follow
#### (a) Quartiles
1. **Find the Lower Quartile (\(Q_1\))** and the Upper Quartile (\(Q_3\)) of the data set.
Enter the values for \(Q_1\) and \(Q_3\).
| Quartile | Value |
|----------|-------|
| \(Q_1\) | |
| \(Q_3\) | |
#### (b) Interquartile Range (IQR)
2. **Find the Interquartile Range (IQR)** of the data set.
\(\text{IQR} = Q_3 - Q_1\)
IQR: [Enter value]
#### (c) Calculate Boundaries
3. **Calculate a Lower Boundary** using \(Q_1 - 1.5 \times \text{IQR}\).
4. **Calculate an Upper Boundary** using \(Q_3 + 1.5 \times \text{IQR}\)
(Note that 1.5-IQR means 1.5 times the IQR).
| Boundary | Value |
|----------------|-------|
| Lower boundary | |
| Upper boundary | |
#### (d) Identify Outliers
5. **Identify outliers**: Any values less than the lower boundary or greater than the upper boundary are considered outliers. List all outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, select "None".
Outliers: [Enter values]
### Interface Controls
- **Check Button:** Verify your answers.
- **Explanation Button:** View an explanation of the process.
- **None Box:** Select if there are no outliers.
The task is to apply the steps to calculate quartiles, IQR, boundaries, and determine the outliers. Enter the computed values in the corresponding fields.
---
This educational tool helps in understanding how to systematically identify out
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