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No, and no. Think about two skewed distributions that are mirrored across the mean so that one is right and one is left. they have the same mean and standard deviation, but are opposite. Also, the 5 number summary does not affect a histogram

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13y ago

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What do the variance and the standard deviation measure?

They are measures of the spread of distributions about their mean.


Why normality is required for standard deviation application?

Because the z-score table, which is heavily related to standard deviation, is only applicable to normal distributions.


How do you find highest standard deviation in given number?

Standard deviations are measures of data distributions. Therefore, a single number cannot have meaningful standard deviation.


Why standard deviation is best measure of dispersion?

standard deviation is best measure of dispersion because all the data distributions are nearer to the normal distribution.


True or false two normal distributions that have the same mean are centered at the same place regardless of the relationship between their standard deviation?

True. Two normal distributions that have the same mean are centered at the same point on the horizontal axis, regardless of their standard deviations. The standard deviation affects the spread or width of the distributions, but it does not change their center location. Therefore, even with different standard deviations, the distributions will overlap at the mean.


When referring to the normal probability there is not just one there is a family of distributions?

A family that is defined by two parameters: the mean and variance (or standard deviation).


What role do z scores play in this transformation of data from multiple distributions to standard normal distribution?

Z-scores standardize data from various distributions by transforming individual data points into a common scale based on their mean and standard deviation. This process involves subtracting the mean from each data point and dividing by the standard deviation, resulting in a distribution with a mean of 0 and a standard deviation of 1. This transformation enables comparisons across different datasets by converting them to the standard normal distribution, facilitating statistical analysis and interpretation.


How does one interpret a standard deviation which is more than the mean?

Standard deviation is a measure of the dispersion of the data. When the standard deviation is greater than the mean, a coefficient of variation is greater than one. See: http://en.wikipedia.org/wiki/Coefficient_of_variation If you assume the data is normally distributed, then the lower limit of the interval of the mean +/- one standard deviation (68% confidence interval) will be a negative value. If it is not realistic to have negative values, then the assumption of a normal distribution may be in error and you should consider other distributions. Common distributions with no negative values are gamma, log normal and exponential.


What are the assumptions of standard deviation?

The standard deviation is the standard deviation! Its calculation requires no assumption.


What does the sample standard deviation best estimate?

The standard deviation of the population. the standard deviation of the population.


What is standard deviation of 155.45?

The standard deviation is 0.


If quartile deviation is 24. find mean deviation and standard deviation?

Information is not sufficient to find mean deviation and standard deviation.