The skewness of a fully normal distribution

ANSWER

You would ordinarily do the following to see if the height and age data in the below graphs are regularly distributed:

Examine the graphs visually by searching for the traditional bell-shaped curve that is indicative of a normal distribution.

Is the graph symmetrical with respect to the mean?
Peaks: Does the center have a single, unimodal peak?
Tails: Do both ends of the tails gradually taper off?
Evaluate Kurtosis and Skewness:

Skewness: The skewness of a fully normal distribution is zero. The graph can show a skewed distribution if it tilts to the left or right.
Kurtosis: The mesokurtic kurtosis value for normal distributions is 3. Graphs that are too flat (platykurtic) or have abrupt peaks (leptokurtic) depart from normalcy.
Tests of Statistical Normality:

These statistical tests, such as the Shapiro-Wilk or Kolmogorov-Smirnov tests, can verify whether the data substantially deviates from a normal distribution.
Analyze the data points using a histogram or Q-Q plot by comparing them to a hypothetical normal distribution line.
Employ Metrics:

Verify that the data’s mean and median are about equal. A significant discrepancy may indicate skewness.
Submission Directions:
Provide explanations of whether the data satisfies the aforementioned normalcy criteria in your study, and cite scholarly sources to back up your conclusions.
Provide transformation or interpretation techniques (such as log transformation) if statistical tests or visual indicators point to non-normality.
For justification, use a minimum of two scholarly sources and follow APA citation standards.
If you need help preparing your contribution or running normalcy tests, please let me know!

 

 

QUESTION

Module 5:  Assignment 2

 

in the following graphs, determine if the age and height would be considered normal or not normal distribution.

 

 

 

 

 

 

 

 

 

 

 

Submission Instructions:

·

· Submit your assignment by 11:59 pm on Sunday.

· It should include at least 2 academic sources, formatted and cited in APA.

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