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A z-score of plus 1.6 represents a value which is how many standard deviations above the mean?
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What are all the values that a standard deviation can possibly take?
Any real value >= 0.
The sum of the deviations from the mean is always zero?
The definition of the mean x of a set of data is the sum of all the values divided by the total number of observations, and this value is in turn subtracted from each x value to calculate the deviations. When the deviations from the average are added up, the sum will always be zero because of the negative signs in the sum of deviations. Going back to the definition of the mean, the equation provided (x = Σxi/n) can be manipulated to read Σxi - x = 0
What is a standardized unit that tells how far away each measurement is from the mean?
Standard deviation is a measure of the spread of data around the mean. The standardized value or z-score, tells how many standard deviations the measurement is away from the mean, and in which direction.z score = (observation - mean) / standard deviationStandard deviation is the unit measurement. This tells what the value a decimal is.
If a data point has a corresponding z-score of -1.5 then it is one and a half standard deviations above the mean value.?
This statement is incorrect. A z-score of -1.5 indicates that the data point is one and a half standard deviations below the mean, not above it. In statistical terms, a negative z-score signifies that the value is less than the average of the dataset. Therefore, a z-score of -1.5 reflects a position to the left of the mean on the normal distribution curve.
What denotes the number of standard deviations a particular score is from the mean?
The absolute value of the z-score.
What is the z-score of a value that is 2.08 standard deviations greater than the mean?
The z-score of a value indicates how many standard deviations it is from the mean. If a value is 2.08 standard deviations greater than the mean, its z-score is simply 2.08. This means the value lies 2.08 standard deviations above the average of the dataset.
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
If a data point has a corresponding score of -1.5 then it is one and a half standard deviations above the mean value.?
If you are talking about the z-value of a point on the normal curve, then no, it is 1.5 standard deviations BELOW the mean.
What is 2 Standard Deviations above an average of .1407?
The answer depends on the value of the standard deviation. Without that information, the question cannot be answered.
A z-score of plus 1.6 represents a value which is how many standard deviations above the mean?
1
What does a z-score of -1.5 mean?
z-score of a value=(that value minus the mean)/(standard deviation). So a z-score of -1.5 means that a value is 1.5 standard deviations below the mean.
What is A z-score of plus 1.6 represents a value which is how many standard deviations above the mean?
A z-score of +1.6 indicates that the value is 1.6 standard deviations above the mean of the dataset. In statistical terms, this means the observed value is higher than the average, and it shows how far and in what direction the value deviates from the mean. A higher z-score signifies a more significant deviation from the mean.
What are all the values that a standard deviation can possibly take?
Any real value >= 0.
What does it mean to have 95 percent confidence in an interval estimate?
It means that 95% of the values in the data set falls within 2 standard deviations of the mean value.
The sum of the deviations from the mean is always zero?
The definition of the mean x of a set of data is the sum of all the values divided by the total number of observations, and this value is in turn subtracted from each x value to calculate the deviations. When the deviations from the average are added up, the sum will always be zero because of the negative signs in the sum of deviations. Going back to the definition of the mean, the equation provided (x = Σxi/n) can be manipulated to read Σxi - x = 0
What is the use of statistical mean in industry?
For different sets of data, the mean would be the summation of all observations, which are normally subdivided by the observation numbers. The mean value would frequently be quoted with standard deviations: mean would describe data central locations then standard deviations illustrate the spread. Substitute dispersion measures include mean variations that are always equal to average absolute deviations from the mean values. It is minimally responsive to the outliers. Hope this helps.
