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When the data are skewed to the right the measure of skewness will be positive.

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10y ago

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The Pearson's coefficient of skewness is a measure of distribution's symmetry?

It is a descriptive statistical measure used to measure the shape of the curve drawn from the frequency distribution or to measure the direction of variation. It is a measure of how far positively skewed (below the mean) or negatively skewed (above the mean) the majority (that's where the mode comes in) of the data lies. Useful when conducting a study using histograms. (mean - mode) / standard deviation. or [3(Mean-Median)]/Standard deviation


Coefficient of skewness and formula?

The coefficient of skewness is a measure of asymmetry in a statistical distribution. It indicates whether the data is skewed to the left, right, or is symmetric. The formula for calculating the coefficient of skewness is [(Mean - Mode) / Standard Deviation]. A positive value indicates right skew, a negative value indicates left skew, and a value of zero indicates a symmetric distribution.


Would you consider two data sets similar or different if they have the same mean median and range but one is positively skewed and other negatively skewed?

If the skewness is different, then the data sets are different.Incidentally, there is one [largely obsolete] definition of skewness which is in terms of the mean and median. Under that definition, it would be impossible for two data sets to have equal means and equal medians but opposite skewness.


The use of Pearson Coefficient of Skewness?

Ah, the Pearson Coefficient of Skewness, fancy term for measuring the asymmetry of a probability distribution. It tells you if your data is skewed to the left, right, or if it's all hunky-dory symmetrical. Just plug in your numbers, crunch some math, and voila, you'll know how wonky your data is. Just remember, skewness doesn't lie, so embrace those skewed curves!


What is the most appropriate measure of location for a data set which is highly skewed to either the left or the right?

If it is very highly skewed then the mode is best.


How can you tell if data is skewed on a box plot?

If the median is exactly in the middle of the box, and the box is exactly in the middle of the whiskers, then skewness = 0. The data are skewed if either the median is off-centre in the box, or if the box is off-centre overall.


Which measure of central tendency is more representative of the typical oberservation if the graph of the data is skewed to the right?

mode


What does positive skewness signify in normal distribution?

A normal distribution is not skewed. Skewness is a measure of how the distribution has been pulled away from the normal.A feature of a distribution is the extent to which it is symmetric.A perfectly normal curve is symmetric - both sides of the distribution would exactly correspond if the figure was folded across its median point.It is said to be skewed if the distribution is lop-sided.The word, skew, comes from derivations associated with avoiding, running away, turning away from the norm.So skewed to the right, or positively skewed, can be thought of as grabbing the positive end of the bell curve and dragging it to the right, or positive, direction to give it a long tail in the positive direction, with most of the data still concentrated on the left.Then skewed to the left, or negatively skewed, can be thought of as grabbing the negative end of the bell curve and dragging it to the left, or negative, direction to give it a long tail in the negative direction, with most of the data still bunched together on the right.Warning: A number of textbooks are not correct in their use of the term 'skew' in relation to skewed distributions, especially when describing 'skewed to the right' or 'skewed to the left'.


What is skew?

Skewness is deviation from normality. The larger a set of data is skewed, the larger it differs from a bell-shaped normal distribution.


When is the mean not a valid statistic to describe a set of data?

The population data may be skewed and thus the mean is not a valid statistic. If mean > median, the data will be skewed to the right. If median > mean, the data is skewed to the left.


What is skewnes?

Skewness is a measure of symmetry, or more precisely, the lack of symmetry. A distribution, or data set, is symmetric if it looks the same to the left and right of the center point.The Shape of a HistogramA histogram is unimodal if there is one hump, bimodal if there are two humps and multimodal if there are many humps. A nonsymmetric histogram is called skewed if it is not symmetric. If the upper tail is longer than the lower tail then it is positively skewed. If the upper tail is shorter than it is negatively skewed.Unimodal, Symmetric, NonskewedNonsymmetric, Skewed RightBimodal


Define skewness and kurtosis?

Skewness is a measure of symmetry, or more precisely, the lack of symmetry. A distribution, or data set, is symmetric if it looks the same to the left and right of the center point. Kurtosis is a measure of whether the data are peaked or flat relative to a normal distribution. See related link. By doing a search on the internet, you can find more examples.