Exploring Normal Distribution Of data Number of sources:

When our data aligns to the characteristics of normal distribution, it maintains specific properties that help us interpret results and make decisions.

Respond to the following in a minimum of 175 words:

Discuss a situation where you can collect data, and the data the Empirical Rule applies, meaning that the data representing this situation follows a normal distribution. You are encouraged to conduct research using the internet to discover a situation that fits this criteria.
Citing your source, discuss what specifically leads you to believe this situation follows the Empirical Rule. What statistical analysis benefits exist because the situation has data that is distributed normally?

ANSWER

Exploring Normal Distribution Of data

An example of a situation when data can be collected and represent a situation that follows a normal distribution applying the empirical rule is measuring the wages of a middle access population. This type of data collection ensures that there is a normal distribution curve. This is a situation that follows the empirical rule, given that according to the rule, 99.7% of data Observed following a normal distribution lies within three standard deviations of the mean. This situation is likely to follow the empirical rule since it gives a rough estimation of the outcome impeding the collected data and analysis. Measuring the wages of a middle-class population is likely to have a normal distribution since the data is likely to be more frequent in occurrence that the data is far from the mean.

One of the benefits of statistical analysis due to the normal distribution is that the normal shapes and dispersions related to it are entirely manageable and systematic. Another benefit is that typical dissemination has a natural bell shape and an evenness, making it better for having an engaging decision for some famous models. Normal Distribution of data also has a central limit theorem. This depicts that the ordinary conveyance could get utilized under mellow circumstances and help in a massive assortment of appropriations in huge tests. Having a normal distribution is the most required probability distribution since many continuous data in nature helps in displaying the bell-shaped curve when compiled and graphed. It also has the advantage of just a rough estimation and approximation and is hence easy to handle. It can also be manipulated algebraically more than other alternatives, making it the most suitable for deriving a formula.