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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 is the sum of the deviations from the mean?
The sum of standard deviations from the mean is the error.
How much data is within 1.28 standard deviations of mean on bell shaped curve?
80%
Which measure of central location will the sum of the deviations of each value from the data's average always be zero?
the mean
What is the Standard deviation of a set of data in which all the data values are the same?
ZeroDetails:The "Standard Deviation" for ungrouped data can be calculated in the following steps:all the deviations (differences) from the arithmetic mean of the set of numbers are squared;the arithmetic mean of these squares is then calculated;the square root of the mean is the standard deviationAccordingly,The arithmetic mean of set of data of equal values is the value.All the deviations will be zero and their squares will be zerosThe mean of squares is zeroThe square root of zero is zero which equals the standard deion
What is the arithmetic mean of the absolute values of the deviations of the individual values from the mean in a data set?
It is the mean absolute deviation.
Why don't we measure spread about the mean by simply averaging the deviations of individual data values from their mean?
Averaging the deviations of individual data values from their mean would always result in zero, since the mean is the point at which the sum of deviations is balanced. This occurs because positive and negative deviations cancel each other out. Instead, measures like variance and standard deviation are used, which square the deviations to ensure all values contribute positively, providing a meaningful representation of spread around the mean.
How many standard deviations a measurement is away from the mean?
The answer depends on the individual measurement in question as well as the mean and standard deviation of the data set.
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.
What is the standard deviation?
The standard deviation of a set of data is a measure of the spread of the observations. It is the square root of the mean squared deviations from the mean of the data.
What percentage of data would fall within 1.75 standard deviations of the mean?
About 81.5%
What is a coded-deviation method in statistics?
Differing from standard deviations, the coded deviation method finds the mean of grouped data from the assumed mean using unit deviations. This is a shorter way to find the mean.
Is variance based on deviations from the mean?
Variance is the squared deviation from the mean. (X bar - X data)^2
What is the sum of the deviations from the mean?
The sum of standard deviations from the mean is the error.
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.
What does standard deviation help you find?
Standard deviation helps you identify the relative level of variation from the mean or equation approximating the relationship in the data set. In a normal distribution 1 standard deviation left or right of the mean = 68.2% of the data 2 standard deviations left or right of the mean = 95.4% of the data 3 standard deviations left or right of the mean = 99.6% of the data
