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Symmetrical distribution in statistics and an example?

mean deviation is minimum


What is the minimum data required for standard deviation?

The standard deviation is a measure of how spread out the numbers are. Three points is needed to calculate a statistically valid meaningful standard deviation.


What is a measure of the width of a distribution of a set of numbers that includes the range the iqr and standard deviation?

The width of a distribution can be measured using several metrics, including range, interquartile range (IQR), and standard deviation. The range provides the difference between the maximum and minimum values, while the IQR represents the spread of the middle 50% of the data, indicating variability without being affected by outliers. Standard deviation quantifies the average distance of each data point from the mean, offering insights into the overall dispersion of the dataset. Together, these measures provide a comprehensive view of the distribution's width and variability.


Can the value for the standard deviation be larger than the value for the rqange?

Yes, the standard deviation can be larger than the range in certain situations. The range is calculated as the difference between the maximum and minimum values in a dataset, while the standard deviation measures the spread of the data around the mean. If the data points are widely dispersed with a few extreme values, the standard deviation can exceed the range, especially in small datasets.


What is the length and width of distribution?

In statistics, the length and width of a distribution typically refer to the range and spread of data. The "length" can be associated with the range, which is the difference between the maximum and minimum values in a dataset. The "width" often corresponds to measures of variability, such as the standard deviation or interquartile range, indicating how spread out the values are around the mean. Together, these measures help to characterize the shape and spread of the distribution.

Related Questions

What do standard deviation error bars indicate when they go past your minimum value?

If the minimum value is the minimum observed value then it indicates that the distribution goes below the minimum observed value.If the minimum value is the minimum defined for the distribution then it indicates thatthe data do not come from the proposed distribution,estimates for the mean or standard deviation are incorrect, oryou have got a sample which is atypical.


Can standard deviation value be bigger than maximum and minimum value?

No standard deviation can not be bigger than maximum and minimum values.


Symmetrical distribution in statistics and an example?

mean deviation is minimum


What is the minimum data required for standard deviation?

The standard deviation is a measure of how spread out the numbers are. Three points is needed to calculate a statistically valid meaningful standard deviation.


What is a measure of the width of a distribution of a set of numbers that includes the range the iqr and standard deviation?

The width of a distribution can be measured using several metrics, including range, interquartile range (IQR), and standard deviation. The range provides the difference between the maximum and minimum values, while the IQR represents the spread of the middle 50% of the data, indicating variability without being affected by outliers. Standard deviation quantifies the average distance of each data point from the mean, offering insights into the overall dispersion of the dataset. Together, these measures provide a comprehensive view of the distribution's width and variability.


Can the value for the standard deviation be larger than the value for the rqange?

Yes, the standard deviation can be larger than the range in certain situations. The range is calculated as the difference between the maximum and minimum values in a dataset, while the standard deviation measures the spread of the data around the mean. If the data points are widely dispersed with a few extreme values, the standard deviation can exceed the range, especially in small datasets.


What is the value of a manon rheaume 1993 hockey card?

I searched it on Sportslizard.com, and I got this... Average Price: $7.91 Standard Deviation: 13.00 Minimum Price: $0.18 Normalized Standard Deviation: -0.64 Maximum Price: $100.00 Sample Size: 146


When will the minimum deviation occur in the experiment of the spectrometer-refractive index?

The minimum deviation in a spectrometer experiment occurs when the refracted ray is parallel to the base of the prism, resulting in the prism being in a state of minimum deviation.


What is the length and width of distribution?

In statistics, the length and width of a distribution typically refer to the range and spread of data. The "length" can be associated with the range, which is the difference between the maximum and minimum values in a dataset. The "width" often corresponds to measures of variability, such as the standard deviation or interquartile range, indicating how spread out the values are around the mean. Together, these measures help to characterize the shape and spread of the distribution.


What is the advantage of keeping the prism in minimum deviation?

By keeping the prism in minimum deviation position, the RI of the prism can be calculated efficiently.


What is the advantage of keeping the prism in minimum deviation position?

By keeping the prism in minimum deviation position, the RI of the prism can be calculated efficiently.


Why range is considered as good measure of variability and why standard deviation is preferred over the other?

Range is considered a good measure of variability because it provides a simple and quick assessment of the spread of data by capturing the difference between the maximum and minimum values. However, it is sensitive to outliers and does not account for the distribution of values between the extremes. Standard deviation is preferred because it considers how each data point deviates from the mean, providing a more comprehensive view of variability, and it is less influenced by extreme values. This makes standard deviation a more robust and informative measure for understanding the dispersion of data.