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What area within one standard deviation between and mu and minus and sigma and and mu plus and sigma?
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∙ 6y ago
The answer will depend on the distribution of the variable.
Wiki User
∙ 6y ago
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What percentage of the normally distributed population lies within the plus or minus one standard deviation of the population mean?
68.2%
What does it mean when the standard deviation is 1?
A standard deviation is a statistical measure of the variation there in a population or group. A standard deviation of 1 means that 68% of the members of the population are withing plus or minus the value of the standard deviation from the average. For example: assume the average height of men is 5 feet 9 inches, and the standard deviation is three inches. Then 68% of all men are between 5' 6" and 6' which is 5'9" plus or minus 3 inches. [Note: this is only to illustrate and is not intended to be a real/correct statistic of men's heights.]
What does denominator of z-score measure?
The standard deviation.z-score of a value=(that value minus the mean)/(standard deviation)
How do you find out the z-score?
z-score of a value=(that value minus the mean)/(standard deviation)
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.
What is the 68-95-99.7 rule?
The 68-95-99.7 rule, or empirical rule, says this:for a normal distribution almost all values lie within 3 standard deviations of the mean.this means that approximately 68% of the values lie within 1 standard deviation of the mean (or between the mean minus 1 times the standard deviation, and the mean plus 1 times the standard deviation). In statistical notation, this is represented as: μ ± σ.And approximately 95% of the values lie within 2 standard deviations of the mean (or between the mean minus 2 times the standard deviation, and the mean plus 2 times the standard deviation). The statistical notation for this is: μ ± 2σ.Almost all (actually, 99.7%) of the values lie within 3 standard deviations of the mean (or between the mean minus 3 times the standard deviation and the mean plus 3 times the standard deviation). Statisticians use the following notation to represent this: μ ± 3σ.(www.wikipedia.org)
What percentage of the normally distributed population lies within the plus or minus one standard deviation of the population mean?
68.2%
What does it mean when the standard deviation is 1?
A standard deviation is a statistical measure of the variation there in a population or group. A standard deviation of 1 means that 68% of the members of the population are withing plus or minus the value of the standard deviation from the average. For example: assume the average height of men is 5 feet 9 inches, and the standard deviation is three inches. Then 68% of all men are between 5' 6" and 6' which is 5'9" plus or minus 3 inches. [Note: this is only to illustrate and is not intended to be a real/correct statistic of men's heights.]
What is a normal random variable minus its mean and divided by its standard deviation?
It is the Standard normal variable.
How is standard deviation found?
Formally, the standard deviation is the square root of the variance. The variance is the mean of the squares of the difference between each observation and their mean value. An easier to remember form for variance is: the mean of the squares minus the square of the mean.
What does denominator of z-score measure?
The standard deviation.z-score of a value=(that value minus the mean)/(standard deviation)
How is the z-score depicted?
z-score of a value=(that value minus the mean)/(standard deviation)
How do you find out the z-score?
z-score of a value=(that value minus the mean)/(standard deviation)
What is meant by a z-score?
z-score of a value=(that value minus the mean)/(standard deviation)
The mean plus or minus the standard deviation for a normal distribution provides a probability range of what percent?
in a normal distribution, the mean plus or minus one standard deviation covers 68.2% of the data. If you use two standard deviations, then you will cover approx. 95.5%, and three will earn you 99.7% coverage
What percentage of observations of a normal distribution is represented by the mean plus or minus 1.96 standard deviation?
It is 95%
Why is the standard deviation one?
The standard deviation provides in indication of what proportion of the entire distribution of the sample falls within a certain distance from the mean or average for that sample. If your data falls on a normal (or bell shaped) distribution, a SD of 1 indicates that about 68% of your data points (scores or whatever else) fall within 1 point (plus or minus) of the average (mean) of the data, and 95% fall within 2 points.
