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That only happens when you sample a population that is normally distributed.

In that case, the question and its answer are quite circular.

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Why normal distribution is called normal distribution?

Most random variables are found to follow the probability distribution function All this means is that most things which can be measured quantitatively, like a population's height, the accuracy of a machine, effectiveness of a drug on fighting bacteria, etc. will occur with a probability that can be calculated according to this equation. Since most things follow this equation, this equation is considered to be the "normal" probability density. "Normal" events follow a "normal" probability distribution.


What is the difference between the normal distribution and Poisson distribution?

The normal distribution is a continuous probability distribution that describes the distribution of real-valued random variables that are distributed around some mean value.The Poisson distribution is a discrete probability distribution that describes the distribution of the number of events that occur within repeated fixed time intervals, where the mean frequency is a known value, and each interval is independent of the prior interval(s)/event(s).


What is meant by bimodal distribution?

You are likely familiar with the probability density function of the normal distribution--that is, the bell-shaped curve.A bimodal distribution is one whose probability density function has two 'humps' or maxima. In other words, values of the random variable are more likely to occur around where those two maxima occur than elsewhere, in the same way that values of a normally distributed random variable are more likely to occur around its maximum.


What does the curve of the standard normal distribution represent?

The curve of the standard normal distribution represents the probability distribution of a continuous random variable that is normally distributed with a mean of 0 and a standard deviation of 1. It is symmetric around the mean, illustrating that values closer to the mean are more likely to occur than those further away. The area under the curve equals 1, indicating that it encompasses all possible outcomes. This distribution is commonly used in statistics for standardization and hypothesis testing.


How does Normal distribution occur?

Normal distribution occurs when a large number of independent random variables, each contributing a small effect, combine to produce a result. This phenomenon is often described by the Central Limit Theorem, which states that the sum of these variables tends to form a bell-shaped curve, regardless of the original distribution of the variables. In real-world scenarios, many natural phenomena, such as heights, test scores, and measurement errors, exhibit this distribution pattern due to the cumulative effect of numerous small, random influences.

Related Questions

When does normal distribution occur?

The normal distribution occurs when a number of random variables, with independent distributions, are added together. No matter what the underlying probability distribution of the individual variables, their sum tends to the normal as their number increases. Many everyday measures are composed of the sums of small components and so they follow the normal distribution.


Why normal distribution is called normal distribution?

Most random variables are found to follow the probability distribution function All this means is that most things which can be measured quantitatively, like a population's height, the accuracy of a machine, effectiveness of a drug on fighting bacteria, etc. will occur with a probability that can be calculated according to this equation. Since most things follow this equation, this equation is considered to be the "normal" probability density. "Normal" events follow a "normal" probability distribution.


What is the difference between the normal distribution and Poisson distribution?

The normal distribution is a continuous probability distribution that describes the distribution of real-valued random variables that are distributed around some mean value.The Poisson distribution is a discrete probability distribution that describes the distribution of the number of events that occur within repeated fixed time intervals, where the mean frequency is a known value, and each interval is independent of the prior interval(s)/event(s).


What time of the year blizzards occur?

Blizzards occur in the winter time. Blizzards are a snow storm that is larger than normal with very high winds.


What is meant by bimodal distribution?

You are likely familiar with the probability density function of the normal distribution--that is, the bell-shaped curve.A bimodal distribution is one whose probability density function has two 'humps' or maxima. In other words, values of the random variable are more likely to occur around where those two maxima occur than elsewhere, in the same way that values of a normally distributed random variable are more likely to occur around its maximum.


Why does the statistics probably fit a bell curve?

Approximately normal distributions occur in many situations, as explained by the central limit theorem. When there is reason to suspect the presence of a large number of small effects acting additively and independently, it is reasonable to assume that observations will be normal. Reference Wikipedia on Normal Distribution. See related link. Examples of bell shaped curves are t-distribution and normal distribution. There is little difference between the two curves when the sample size is greater than 30.


Why are Stabilizers put in milk?

Stabilizers help to prevent texture deterioration caused by inevitable temperature fluctuations that occur during distribution, which cause ice crystals to melt and then reform into larger crystals


Where do rouge waves occur?

Anywhere normal waves occur.


Why do normal fluctuations of FSH occur?

Normal fluctuations occur as a result of puberty, the menstrual cycle, pregnancy, and menopause.


How does distribution effect market economy?

Distribution effects market economies because they will have to deal with scarcity, and with scarcity, they cant have as many things. The distribution will allow a widespread of things to occur.


What is the meaning of expected value in a probability distribution?

The expected value is the average of a probability distribution. It is the value that can be expected to occur on the average, in the long run.


How exactly does a super moon occur?

In simple terms - its the orbit of the moon bringing it closest to the earth during the new moon phase. This means the moon's disc appears considerably larger than 'normal'