There are no benefits in doing something that cannot be done. The standard normal distribution is not transformed to the standard distribution because the latter does not exist.
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There may or may not be a benefit: it depends on the underlying distributions. Using the standard normal distribution, whatever the circumstances is naive and irresponsible. Also, it depends on what parameter you are testing for. For comparing whether or not two distributions are the same, tests such as the Kolmogorov-Smirnov test or the Chi-Square goodness of fit test are often better. For testing the equality of variance, an F-test may be better.
Graphs of frequency distributions provide a clear visual representation of data, making it easier to identify patterns, trends, and outliers. They facilitate quick comparisons between different data sets and help in understanding the overall distribution shape, such as normal, skewed, or bimodal. Additionally, these graphs enhance communication of statistical findings, making complex data more accessible to a broader audience. Overall, they serve as effective tools for both analysis and presentation of data.
One reason for cluster distribution in organisms is the need for resources. Cluster distribution allows organisms to maximize their access to resources such as food, water, or nesting sites. By living in close proximity to one another, organisms can benefit from shared resources and protection from predators. In addition, cluster distribution can facilitate social interactions and cooperative behaviors, enhancing the survival and reproductive success of individuals within the cluster.
An adjective of benefit is beneficial.An adverb of benefit is beneficially.
The rules of blackjack, as played in most casinos, always benefit the casino.