Data on the shoe sizes of a group of students is shown in the table. Shoe size 34 36 37 38 39 40 41 42 49 Females 10 8. 3
Data on the shoe sizes of a group of students is shown in the table. Shoe size 34 36 37 38 39 40 41 42 49 Females 10 8. 3
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![## Steps to Create a Box-and-Whisker Plot:
1. **First**, place the five points.
2. **Second**, draw longer vertical lines for the smallest, largest, and median.
3. **Third**, draw a small box that reaches the Lower Quartile (LQ) and Upper Quartile (UQ). The vertical height of the box doesn’t matter.
### Analyze Outliers:
An outlier is:
- A point less than the LQ - 1.5 x IQR (Interquartile Range), or
- Greater than UQ + 1.5 x IQR.
### Diagram Explanation:
- The diagram on the right shows a vertical box-and-whisker plot.
- The box represents the interquartile range (IQR) between the first quartile (Q1) and the third quartile (Q3).
- The line inside the box represents the median.
- The "whiskers" extend to the smallest and largest values that are not outliers.
- Points outside the whiskers are considered outliers and are indicated with dots.
- "Upper fence" and "Lower fence" indicate the thresholds for outliers, calculated as Q3 + 1.5 x IQR and Q1 - 1.5 x IQR, respectively.
### Practice:
**Data on the shoe sizes of a group of students is shown in the table.**
| Shoe size | 34 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 49 |
|-----------|----|----|----|----|----|----|----|----|----|
| Females | 2 | 2 | 10 | 8 | 7 | 3 | 9 | 1 | 0 |
| Males | 0 | 3 | 3 | 7 | 12 | 9 | 2 | 0 | 1 |
**Note:** "MATH IS FUN" is depicted in a decorative design on the page.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc88a4be5-ce0c-4e25-871d-a0bd16127b90%2F06ae86eb-43a5-4121-a57a-0cfa51741659%2Fx868bwd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Steps to Create a Box-and-Whisker Plot:
1. **First**, place the five points.
2. **Second**, draw longer vertical lines for the smallest, largest, and median.
3. **Third**, draw a small box that reaches the Lower Quartile (LQ) and Upper Quartile (UQ). The vertical height of the box doesn’t matter.
### Analyze Outliers:
An outlier is:
- A point less than the LQ - 1.5 x IQR (Interquartile Range), or
- Greater than UQ + 1.5 x IQR.
### Diagram Explanation:
- The diagram on the right shows a vertical box-and-whisker plot.
- The box represents the interquartile range (IQR) between the first quartile (Q1) and the third quartile (Q3).
- The line inside the box represents the median.
- The "whiskers" extend to the smallest and largest values that are not outliers.
- Points outside the whiskers are considered outliers and are indicated with dots.
- "Upper fence" and "Lower fence" indicate the thresholds for outliers, calculated as Q3 + 1.5 x IQR and Q1 - 1.5 x IQR, respectively.
### Practice:
**Data on the shoe sizes of a group of students is shown in the table.**
| Shoe size | 34 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 49 |
|-----------|----|----|----|----|----|----|----|----|----|
| Females | 2 | 2 | 10 | 8 | 7 | 3 | 9 | 1 | 0 |
| Males | 0 | 3 | 3 | 7 | 12 | 9 | 2 | 0 | 1 |
**Note:** "MATH IS FUN" is depicted in a decorative design on the page.
![Data on the shoe sizes of a group of students is shown in the table:
| Shoe size | 34 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 49 |
|-----------|----|----|----|----|----|----|----|----|----|
| Females | 2 | 2 | 10 | 8 | 7 | 3 | 0 | 0 | 0 |
| Males | 0 | 0 | 3 | 7 | 12 | 9 | 3 | 1 | 1 |
Instructions:
- Draw a box-and-whisker plot for the females and for the males and compare the two plots.
- State whether the box plots are symmetrical.
- Comment on whether there are any outliers.
- Draw the box plots again showing any outliers clearly. Outliers are represented by crosses.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc88a4be5-ce0c-4e25-871d-a0bd16127b90%2F06ae86eb-43a5-4121-a57a-0cfa51741659%2Ffb4tptz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Data on the shoe sizes of a group of students is shown in the table:
| Shoe size | 34 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 49 |
|-----------|----|----|----|----|----|----|----|----|----|
| Females | 2 | 2 | 10 | 8 | 7 | 3 | 0 | 0 | 0 |
| Males | 0 | 0 | 3 | 7 | 12 | 9 | 3 | 1 | 1 |
Instructions:
- Draw a box-and-whisker plot for the females and for the males and compare the two plots.
- State whether the box plots are symmetrical.
- Comment on whether there are any outliers.
- Draw the box plots again showing any outliers clearly. Outliers are represented by crosses.
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