(1) 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 he and labe
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
 alt="### Los Angeles Dodgers 2014 MLB Season Statistics
**Overview:**
In the 2014 MLB season, the Los Angeles Dodgers won 94 games and lost 68, finishing in first place in the National League Western Division.
**Performance Metrics:**
Over the 162 games of the regular season, the Dodgers 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.
**Visual Representation:**
* Included is a photograph of the Dodger Stadium, illustrating the venue where these games took place.
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*Dodger Stadium. Photo credit: losangeles.dodgers.mlb.com*
**Statistical Inquiry:**
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**Question (e):**
What number of runs scored corresponds to the 70th percentile?
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In this context, understanding the distribution and standard deviation of the Dodgers' run performances will help in determining the 70th percentile. Through statistical analysis and percentile calculations, one can estimate the number of runs corresponding to this specific percentile for further insights and evaluations of team performance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4e58655-e53f-42ee-b39f-787912eba8a6%2Fe680e311-1eb0-4147-9dbc-2cfedcacf455%2Fzg0yk5_processed.png&w=3840&q=75)
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