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The probability of an event occurring within 5 standard deviations from the mean is extremely rare, as it falls outside the normal range of outcomes.

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3mo ago

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Related Questions

In a standard normal distribution 95 percent of the data is within plus standard deviations of the mean?

95% is within 2 standard deviations of the mean.


When a data set is normally distributed about how much of the data fall within two standard deviations of the mean?

In a normally distributed data set, approximately 95% of the data falls within two standard deviations of the mean. This is part of the empirical rule, which states that about 68% of the data falls within one standard deviation and about 99.7% falls within three standard deviations. Therefore, two standard deviations capture a significant majority of the data points.


How does the bell curve relates to the empirical rule?

The bell curve, also known as the normal distribution, is a symmetrical probability distribution that follows the empirical rule. The empirical rule states that for approximately 68% of the data, it lies within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations when data follows a normal distribution. This relationship allows us to make predictions about data distribution based on these rules.


What percentage of scores fall within -3 and plus 3 standard deviations around the mean in a normal distribution?

99.7% of scores fall within -3 and plus 3 standard deviations around the mean in a normal distribution.


What percentage of a normal distribution is within 2 standard deviations of the mean?

I believe the standard deviations are measured from the median, not the mean.1 Standard Deviation is 34% each side of median, so that is 68% total.2 Standard Deviations is 48% each side of median, so that is 96% total.


What percentage of data would fall within 1.75 standard deviations of the mean?

About 81.5%


How much data is within 1.28 standard deviations of mean on bell shaped curve?

80%


What is the measures that fall beyond three standard deviations of the mean called?

You may be referring to the statistical term 'outlier(s)'. Also, there is a rule in statistics called the '68-95-99 Rule'. It states that in a normally distributed dataset approximately 68% of the observations will be within plus/minus one standard deviation of the mean, 95% within plus/minus two standard deviations, and 99% within plus/minus three standard deviations. So if your data follow the classic bell-shaped curve, roughly 1% of the measures should fall beyond three standard deviations of the mean.


Assume that aset of test scores is normally distributed with a mean of 100 and a standard deviation of 20 use the 68-95-99?

68% of the scores are within 1 standard deviation of the mean -80, 120 95% of the scores are within 2 standard deviations of the mean -60, 140 99.7% of the scores are within 3 standard deviations of the mean -40, 180


Statistic question help?

When using Chebyshev's Theorem the minimum percentage of sample observations that will fall within two standard deviations of the mean will be __________ the percentage within two standard deviations if a normal distribution is assumed Empirical Rule smaller than greater than the same as


Given an unknown What percentage of data falls within 0.75 standard deviation of the mean?

In a normal distribution, approximately 57.5% of the data falls within 0.75 standard deviations of the mean. This is derived from the cumulative distribution function (CDF) of the normal distribution, which indicates that about 27.5% of the data lies between the mean and 0.75 standard deviations above it, and an equal amount lies between the mean and 0.75 standard deviations below it. Therefore, when combined, it results in around 57.5% of data being within that range.


What is the proportion of the total area under the normal curve within plus or minus 2 standard deviations?

95%