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1 pages/≈275 words
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APA
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Education
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Essay
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English (U.S.)
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Topic:
Features of Normal Distribution
Essay Instructions:
Normal distribution provides researchers with a single pattern of distribution. This makes it a popular model to use as a reference for observing a most frequent occurrence.
In this assignment, you will design a 7- to 10-slide presentation on the features of the normal distribution.
Step 1. Research
Use research from three to five scholarly sources cited in APA format to answer these questions about normal distributions:
What percentage of observations will fall within one, two, and three standard deviations of the mean in a normal distribution?
What is a z score?
How is the height of a normal distribution curve determined?
What is the relationship between probability and multiples of standard deviations of the mean in a normal distribution?
What are the “tails” of the normal distribution and why do outliers typically fall within them?
Step 2 Select slide formate
No audio narration is required for this presentation.
Step 3. Design
Design your presentation visuals with the following slides:
Title slide
Explanation of the normal distribution
Illustration of the normal distribution with quartiles illustrating standard deviations about the mean
4-6 slides with explanations and/or illustrations addressing your research in Step 1
Summary
References
Include APA-formatted in-text citations on the slides where appropriate.
Step 4. Submit
Submit your 7- to 10-slide APA-formatted presentation using the appropriate assignment submission type (i.e., File Upload, Web URL, or Text Entry) for your product.
Please compose the essay, I will do the slide
Essay Sample Content Preview:
Features of Normal Distribution
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Understanding Normal Distributions
Normal distribution, commonly known as the bell curve, is an important model in statistics. This continuous probability distribution has the shape of a bell-shaped curve that is an axis of symmetry of the mean. To analyze data and interpret results, it is necessary to understand the properties and consequences of a normal distribution (Wesolowski & Thompson, 2018). This presentation outlines aspects such as percentage within standard deviations, meaning of z-scores, methods of calculating the height of the curve, probability and standard deviations, and characteristics of the tails of normal distribution.
Observations within Standard Deviations
In simple terms, for a normal distribution, a large proportion of the observations lie within a particular number of standard deviations of the mean. This property is related to the empirical rule or 68-95-99/7 rule. According to this rule:
* Within one standard deviation: Approximately 68% of the observations fall within one standard deviation of the mean. This indicates that most data points are close to the mean, reflecting the central clustering of data in a normal distribution.
* Within two standard deviations: About 95% of the observations are within two standard deviations of the mean. This broader range includes almost all typical values, providing a more comprehensive view of the data's spread.
* Within three standard deviations: Nearly 99.7% of the observations lie within three standard deviations of the mean. This range covers nearly all the data points; it also covers almost all outliers. Hence, it provides a full picture of data variation (Wagner & Gillespie, 2019).
These percentages are in turnover with the normal distribution that upheld most of the data populations are located around the mean. In contrast, the frequency of these populations decreases as they move far away from the mean.
Z-Score
A z-score, also called a standard score, is a metric that helps to figure out the position of a specific value compared to an average of a set of values. It is called the coefficient of dispersion and is stated in stan...
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