1 2 3 4 5 6 7 S 9 10 11 12 13 5 7 2 5,1 6,4 3,6,2 4, 5, 1,0 2 7 where 712= 72 students What is the shape of the distribution? Symmetric Skewed Right Skewed Left Heavily Skewed to the right 0000

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
Question
### Analyzing Distribution Shapes

**Dataset (in Stem-and-Leaf Plot format):**

| Stem (Tens) | Leaf (Units) |
|-------------|--------------|
| 1           | 5            |
| 2           |              |
| 3           |              |
| 4           | 7            |
| 5           |              |
| 6           | 2            |
| 7           | 51           |
| 8           | 64           |
| 9           | 362          |
| 10          | 4510         |
| 11          | 2            |
| 12          |              |
| 13          | 7            |

*Note: In this stem-and-leaf plot, each "stem" represents the tens digit, and each "leaf" represents the units digit. For instance, the number 51 is represented as stem 5 and leaf 1.*

where `7|2 = 72 students`

**Question:**

What is the shape of the distribution?

**Answer Choices:**

- Symmetric
- Skewed Right
- Skewed Left
- Heavily Skewed to the Right

**Explanation:**

To determine the shape of the distribution, observe the concentration of values within the stem-and-leaf plot. The distribution here shows higher frequency in the middle range with fewer values at the extremes, indicating how the data is spread.

- **Symmetric:** The distribution is evenly spread on both sides.
- **Skewed Right:** The tail on the right side (higher value side) is longer.
- **Skewed Left:** The tail on the left side (lower value side) is longer.
- **Heavily Skewed to the Right:** The distribution has a very long right tail with most values concentrated on the lower end.

For this specific data, the distribution appears to be concentrated towards the middle right with fewer values on the extreme left, indicating a rightward skew.

**Recommendation:** Select "Skewed Right" based on the given data visualization.
Transcribed Image Text:### Analyzing Distribution Shapes **Dataset (in Stem-and-Leaf Plot format):** | Stem (Tens) | Leaf (Units) | |-------------|--------------| | 1 | 5 | | 2 | | | 3 | | | 4 | 7 | | 5 | | | 6 | 2 | | 7 | 51 | | 8 | 64 | | 9 | 362 | | 10 | 4510 | | 11 | 2 | | 12 | | | 13 | 7 | *Note: In this stem-and-leaf plot, each "stem" represents the tens digit, and each "leaf" represents the units digit. For instance, the number 51 is represented as stem 5 and leaf 1.* where `7|2 = 72 students` **Question:** What is the shape of the distribution? **Answer Choices:** - Symmetric - Skewed Right - Skewed Left - Heavily Skewed to the Right **Explanation:** To determine the shape of the distribution, observe the concentration of values within the stem-and-leaf plot. The distribution here shows higher frequency in the middle range with fewer values at the extremes, indicating how the data is spread. - **Symmetric:** The distribution is evenly spread on both sides. - **Skewed Right:** The tail on the right side (higher value side) is longer. - **Skewed Left:** The tail on the left side (lower value side) is longer. - **Heavily Skewed to the Right:** The distribution has a very long right tail with most values concentrated on the lower end. For this specific data, the distribution appears to be concentrated towards the middle right with fewer values on the extreme left, indicating a rightward skew. **Recommendation:** Select "Skewed Right" based on the given data visualization.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Similar 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