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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.


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 requirements are necessary for a normal probability distribution to be a standard normal probability?

For a normal probability distribution to be considered a standard normal probability distribution, it must have a mean of 0 and a standard deviation of 1. This standardization allows for the use of z-scores, which represent the number of standard deviations a data point is from the mean. Any normal distribution can be transformed into a standard normal distribution through the process of standardization.


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

95%


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

about 68%


What is -1.33 standard deviations in percentage?

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


How many standard deviations are 95 percent of measurements away from the mean?

95 percent of measurements are less than 2 standard deviations away from the mean, assuming a normal distribution.


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.


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

In a standard normal distribution, approximately 95% of the data falls within two standard deviations (±2σ) of the mean (μ). This means that if you take the mean and add or subtract two times the standard deviation, you capture the vast majority of the data points. This property is a key aspect of the empirical rule, which describes how data is spread in a normal distribution.


What percent of the data in a normal distribution lies more than 2 standard deviations above the mean?

2.275 %


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


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.