A business's checking account had the following as its last 6 deposits. 256, 4950, 5200, 5270, 5430, 5730 (a) What are the upper quartile, lower quartile, and interquartile range? Q₁ Q3 IQR = (b) What are the upper and lower boundaries for outliers? lower upper (c) Based on the boundaries found above, is 256 an outlier in this data set? If so, what type of outlier is it? Yes, it is a low outlier. Yes, it is a high outlier. No, it is not an outlier. There is not enough information to tell. (d) Which one of the following is affected by outliers? O median. neither mean nor median mean
A business's checking account had the following as its last 6 deposits. 256, 4950, 5200, 5270, 5430, 5730 (a) What are the upper quartile, lower quartile, and interquartile range? Q₁ Q3 IQR = (b) What are the upper and lower boundaries for outliers? lower upper (c) Based on the boundaries found above, is 256 an outlier in this data set? If so, what type of outlier is it? Yes, it is a low outlier. Yes, it is a high outlier. No, it is not an outlier. There is not enough information to tell. (d) Which one of the following is affected by outliers? O median. neither mean nor median mean
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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![### Analyzing Business Deposits Using Quartiles and Outliers
**A business's checking account had the following as its last 6 deposits:**
```
256, 4950, 5200, 5270, 5430, 5730
```
**(a) What are the upper quartile, lower quartile, and interquartile range?**
- \( Q_1 = \) [Input needed]
- \( Q_3 = \) [Input needed]
- \( IQR = \) [Input needed]
**(b) What are the upper and lower boundaries for outliers?**
- Lower: [Input needed]
- Upper: [Input needed]
**(c) Based on the boundaries found above, is 256 an outlier in this data set? If so, what type of outlier is it?**
- [ ] Yes, it is a low outlier.
- [ ] Yes, it is a high outlier.
- [ ] No, it is not an outlier.
- [ ] There is not enough information to tell.
**(d) Which one of the following is affected by outliers?**
- [ ] Median
- [ ] Neither mean nor median
- [ ] Mean
### Explanation of Graphs or Diagrams
This image provides a series of steps and questions to help analyze a set of 6 deposits using quartiles and the concept of outliers. Here is a breakdown:
1. **Listing of Deposits**: The deposits are listed in ascending order.
2. **Quartiles Calculation**: Determine the first quartile (\( Q_1 \)), third quartile (\( Q_3 \)), and the interquartile range (IQR).
3. **Outlier Boundaries**: Based on the IQR, calculate the upper and lower boundaries for identifying outliers.
4. **Outlier Identification Question**: A specific value (256) is questioned as a potential outlier, with multiple-choice options for the answer.
5. **Effect on Statistical Measures**: A question on which statistical measure (mean or median) is affected by outliers, again with multiple-choice options.
### Additional Notes
- **Quartiles** divide the data into four equal parts.
- **IQR** (Interquartile Range) is the range between the first quartile (Q1) and the third quartile (Q3).
- **Outliers](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F706ad80a-f585-4c53-91a1-2729de7fd739%2F6e9f47d6-4f9c-4a3a-8d17-eedbcd08db1a%2Fwt2nfe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Analyzing Business Deposits Using Quartiles and Outliers
**A business's checking account had the following as its last 6 deposits:**
```
256, 4950, 5200, 5270, 5430, 5730
```
**(a) What are the upper quartile, lower quartile, and interquartile range?**
- \( Q_1 = \) [Input needed]
- \( Q_3 = \) [Input needed]
- \( IQR = \) [Input needed]
**(b) What are the upper and lower boundaries for outliers?**
- Lower: [Input needed]
- Upper: [Input needed]
**(c) Based on the boundaries found above, is 256 an outlier in this data set? If so, what type of outlier is it?**
- [ ] Yes, it is a low outlier.
- [ ] Yes, it is a high outlier.
- [ ] No, it is not an outlier.
- [ ] There is not enough information to tell.
**(d) Which one of the following is affected by outliers?**
- [ ] Median
- [ ] Neither mean nor median
- [ ] Mean
### Explanation of Graphs or Diagrams
This image provides a series of steps and questions to help analyze a set of 6 deposits using quartiles and the concept of outliers. Here is a breakdown:
1. **Listing of Deposits**: The deposits are listed in ascending order.
2. **Quartiles Calculation**: Determine the first quartile (\( Q_1 \)), third quartile (\( Q_3 \)), and the interquartile range (IQR).
3. **Outlier Boundaries**: Based on the IQR, calculate the upper and lower boundaries for identifying outliers.
4. **Outlier Identification Question**: A specific value (256) is questioned as a potential outlier, with multiple-choice options for the answer.
5. **Effect on Statistical Measures**: A question on which statistical measure (mean or median) is affected by outliers, again with multiple-choice options.
### Additional Notes
- **Quartiles** divide the data into four equal parts.
- **IQR** (Interquartile Range) is the range between the first quartile (Q1) and the third quartile (Q3).
- **Outliers
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