Question

why is normal distribution important in statistics and in everyday life? give examples to underscore your points.

Answer 1

Because it accurately depicts the distribution of values for many natural occurrences, it is the most significant probability distribution in statistics.

The most significant probability distribution in statistics for independent, random variables is the normal distribution, sometimes referred to as the Gaussian distribution. In statistical reports, its well-known bell-shaped curve is generally recognized.

The majority of the observations are centered around the middle peak of the normal distribution, which is a continuous probability distribution that is symmetrical around its mean. The probabilities for values that are farther from the mean taper off equally in both directions. Extreme values in the distribution's two tails are likewise rare. Not all symmetrical distributions are normal, even though the normal distribution is symmetrical. The Student's t, Cauchy, and logistic distributions, for instance, are all symmetric.

The normal distribution defines how a variable's values are distributed, just like any probability distribution does. Because it accurately depicts the distribution of values for many natural occurrences, it is the most significant probability distribution in statistics. Normal distributions are widely used to describe characteristics that are the sum of numerous distinct processes. For instance, the normal distribution is observed for heights, blood pressure, measurement error, and IQ scores.

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Answer 2

The normal distribution is the most important probability distribution in statistics because it properly captures the distribution of values for numerous natural events.

The most significant probability distribution in statistics for independent, random variables is the normal distribution, sometimes it is also referred as the Gaussian distribution.. Its well-known bell-shaped curve is typically recognized in statistics reports.

The normal distribution, which is a continuous probability distribution that is symmetric about its mean, has a central peak that is the focus of most observations. The probabilities fall down equally in both directions for values that are farther from the mean. Extreme values in the two tails of the distribution are also uncommon. Despite the fact that the normal distribution is symmetrical, not all symmetrical distributions are normal.

Like every probability distribution, the normal distribution describes the distribution of values for a variable. It is the most important probability distribution in statistics because it properly captures the distribution of values for numerous natural events.

Commonly, traits that are the result of several different unique processes are described using normal distributions. For instance, the normal distribution may be shown for IQ scores, blood pressure, heights, and measurement inaccuracy.

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