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A large standard deviation indicates that the distribution is heavily weighted far from the mean. Take the following example:
{1,1,1,1,1,19,19,19,19,19} Mean is 10 and StDev = 9.49
Now look at this data set: {5, 6, 7, 8, 9, 11, 12, 13, 14, 15}
Mean is still 10, but StDev = 3.5
What else can I help you with?
True or false a distribution of sample means is normally distributed with a mean equal to the population mean and standard deviation equal to the standard error of the mean?
True.
What are the four numbers have the smallest possible standard deviation?
If all four numbers are the same, there is no standard deviation. The mean will be equal to all 4 numbers, resulting in a 0 standard deviation. Ex) 5,5,5,5
Area to the left of the mean in a normal distribution is equal to?
One standard deviation
A standard normal distribution has a mean of and standard deviation of?
Mean 0, standard deviation 1.
What is the mean and standard deviation for the standard normal curve?
Mean = 0 Standard Deviation = 1
Is the standard deviation the same as the mean of absolute distances from the mean?
no the standard deviation is not equal to mean of absolute distance from the mean
Is mean deviation less than standard deviation?
Yes, the mean deviation is typically less than or equal to the standard deviation for a given dataset. The mean deviation measures the average absolute deviations from the mean, while the standard deviation takes into account the squared deviations, which can amplify the effect of outliers. Consequently, the standard deviation is usually greater than or equal to the mean deviation, but they can be equal in certain cases, such as when all data points are identical.
Is it possible for the mean and standard deviation to be equal?
Yes.
Are the mean and standard deviation equal in a poisson distribution?
The mean and variance are equal in the Poisson distribution. The mean and std deviation would be equal only for the case of mean = 1. See related link.
What would it mean if a standard deviation was calculated to equal 0?
A standard deviation of zero means that all the data points are the same value.
True or false a distribution of sample means is normally distributed with a mean equal to the population mean and standard deviation equal to the standard error of the mean?
True.
Can a standard deviation of a sample be equal to a standard deviation of a population?
Yes
What are the four numbers have the smallest possible standard deviation?
If all four numbers are the same, there is no standard deviation. The mean will be equal to all 4 numbers, resulting in a 0 standard deviation. Ex) 5,5,5,5
Area to the left of the mean in a normal distribution is equal to?
One standard deviation
If quartile deviation is 24. find mean deviation and standard deviation?
Information is not sufficient to find mean deviation and standard deviation.
What are the median and mode of a normal distribution if the mean is 22 and the standard deviation is 4?
The mean, median, and mode of a normal distribution are equal; in this case, 22. The standard deviation has no bearing on this question.
A standard normal distribution has a mean of and standard deviation of?
Mean 0, standard deviation 1.
