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What percentage of observations of a normal distribution is represented by the mean plus or minus 2 standard deviations?

about 68%


What percentage of observations of a normal distribution is represented by the mean plus or minus 1.96 standard deviation?

It is 95%


What percentage of observations of a normal distribution is reprented by the mean plus or minus 1.96 standard deviations?

The probability of the mean plus or minus 1.96 standard deviations is 0. The probability that a continuous distribution takes any particular value is always zero. The probability between the mean plus or minus 1.96 standard deviations is 0.95


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


What is -1.33 standard deviations in percentage?

Assuming a normal distribution, Pr { X < -1.33 } ~= 0.091759135650280765 or about 9.18 %


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 scores falls between the mean and -2 to 2 standard deviations under the normal curve?

In a normal distribution, approximately 68% of scores fall within one standard deviation of the mean (between -1 and +1 standard deviations). About 95% of scores fall within two standard deviations (between -2 and +2 standard deviations). Therefore, the percentage of scores that falls specifically between the mean and -2 to 2 standard deviations is about 95% minus the 50% that is below the mean, resulting in approximately 45%.


In a normal distribution what percentage of the data falls within 2 standard deviation of the mean?

In a normal distribution, approximately 95% of the data falls within 2 standard deviations of the mean. This is part of the empirical rule, which states that about 68% of the data is within 1 standard deviation, and about 99.7% is within 3 standard deviations. Therefore, the range within 2 standard deviations captures a significant majority of the data points.


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 percentage of the data in a normal distribution is represented by 1 SD of a sample?

Assuming that we have a Normal Distribution of Data, approx. 65% of the data will fall within One Sigma.


What breaks the range of values of a variable into classes and displays only the count or percent of the observations?

A frequency distribution breaks the range of values of a variable into classes, known as bins or intervals, and displays the count or percentage of observations within each class. This statistical tool helps summarize data and makes it easier to identify patterns, trends, and the overall distribution of the variable. It can be represented in tables or graphical forms, such as histograms.

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