In the 2014 MLB season the Los Angeles Dodgers won 94 games and lost 68 to finish in first place in the National League Western Division. Over the 162 games of the regular season they scored an average of 4.43 runs per game, with a standard deviation of 2.88 runs per game. The distribution of their 162 run PERFORMANCES is roughly symmetric, unimodal, and bell-shaped. Dodger Stadium. Photo credit losangeles.dodgers.mlb.com Sketch what this distribution should look like by drawing a bell-shaped curve and labeling the mean, mean ± 1 SD, mean ± 2 SD, and mean + 3 SD.
In the 2014 MLB season the Los Angeles Dodgers won 94 games and lost 68 to finish in first place in the National League Western Division. Over the 162 games of the regular season they scored an average of 4.43 runs per game, with a standard deviation of 2.88 runs per game. The distribution of their 162 run PERFORMANCES is roughly symmetric, unimodal, and bell-shaped. Dodger Stadium. Photo credit losangeles.dodgers.mlb.com Sketch what this distribution should look like by drawing a bell-shaped curve and labeling the mean, mean ± 1 SD, mean ± 2 SD, and mean + 3 SD.
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
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
![### 2014 Los Angeles Dodgers Season Analysis
In the 2014 MLB season, the Los Angeles Dodgers won 94 games and lost 68, clinching first place in the National League Western Division. During the regular season, which comprised 162 games, the Dodgers averaged 4.43 runs per game. The standard deviation of their runs per game stood at 2.88 runs. The distribution of their 162 run performances can be described as roughly symmetric, unimodal, and bell-shaped.
To visualize this distribution:
- **Mean (μ)**: 4.43 runs per game.
- **Standard Deviation (σ)**: 2.88 runs per game.
A bell-shaped curve, often referred to as a normal distribution, can be sketched to represent this data. On this curve:
- The peak of the bell, representing the mean (μ), should be labeled at 4.43.
- Moving one standard deviation to the left and right of the mean (μ ± 1σ), the values would be:
- Mean - 1 SD: 4.43 - 2.88 = 1.55
- Mean + 1 SD: 4.43 + 2.88 = 7.31
- Moving two standard deviations to the left and right of the mean (μ ± 2σ), the values would be:
- Mean - 2 SD: 4.43 - 2 * 2.88 = -1.33 (note: runs per game cannot be less than 0 in reality)
- Mean + 2 SD: 4.43 + 2 * 2.88 = 10.19
- Moving three standard deviations to the left and right of the mean (μ ± 3σ), the values would be:
- Mean - 3 SD: 4.43 - 3 * 2.88 = -4.21 (note: runs per game cannot be less than 0 in reality)
- Mean + 3 SD: 4.43 + 3 * 2.88 = 13.07
This curve can help in understanding the distribution and variability in the Dodgers' performance over the season.
#### Image Description
The image shows a vibrant scene of a baseball game at Dodger Stadium, with the stands filled with fans. The field is clearly visible with players in position, set against a backdrop of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4e58655-e53f-42ee-b39f-787912eba8a6%2F3ab84417-b00f-4c92-bf8a-39e08c27dead%2Fdubtmsm_processed.png&w=3840&q=75)
Transcribed Image Text:### 2014 Los Angeles Dodgers Season Analysis
In the 2014 MLB season, the Los Angeles Dodgers won 94 games and lost 68, clinching first place in the National League Western Division. During the regular season, which comprised 162 games, the Dodgers averaged 4.43 runs per game. The standard deviation of their runs per game stood at 2.88 runs. The distribution of their 162 run performances can be described as roughly symmetric, unimodal, and bell-shaped.
To visualize this distribution:
- **Mean (μ)**: 4.43 runs per game.
- **Standard Deviation (σ)**: 2.88 runs per game.
A bell-shaped curve, often referred to as a normal distribution, can be sketched to represent this data. On this curve:
- The peak of the bell, representing the mean (μ), should be labeled at 4.43.
- Moving one standard deviation to the left and right of the mean (μ ± 1σ), the values would be:
- Mean - 1 SD: 4.43 - 2.88 = 1.55
- Mean + 1 SD: 4.43 + 2.88 = 7.31
- Moving two standard deviations to the left and right of the mean (μ ± 2σ), the values would be:
- Mean - 2 SD: 4.43 - 2 * 2.88 = -1.33 (note: runs per game cannot be less than 0 in reality)
- Mean + 2 SD: 4.43 + 2 * 2.88 = 10.19
- Moving three standard deviations to the left and right of the mean (μ ± 3σ), the values would be:
- Mean - 3 SD: 4.43 - 3 * 2.88 = -4.21 (note: runs per game cannot be less than 0 in reality)
- Mean + 3 SD: 4.43 + 3 * 2.88 = 13.07
This curve can help in understanding the distribution and variability in the Dodgers' performance over the season.
#### Image Description
The image shows a vibrant scene of a baseball game at Dodger Stadium, with the stands filled with fans. The field is clearly visible with players in position, set against a backdrop of
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman