Skewness vs. Kurtosis: Know the Difference
By Shumaila Saeed || Published on January 15, 2024
Skewness measures the asymmetry of a distribution, while Kurtosis indicates the "tailedness" or concentration of values in the distribution's tails.
Key Differences
Skewness is a statistical measure that describes the degree of asymmetry of a distribution around its mean. If a distribution is not symmetrical, it is said to be skewed. Kurtosis, on the other hand, measures the sharpness of the peak of a distribution and the thickness of its tails. It indicates how outlier-prone a distribution is.
Shumaila Saeed
Jan 15, 2024
Skewness can be either positive or negative. Positive skewness means the tail on the right side of the distribution is longer or fatter, indicating more extreme values in the right tail. Kurtosis, conversely, can be high or low. High kurtosis means more values are concentrated in the tails and the peak, whereas low kurtosis indicates a flatter distribution.
Shumaila Saeed
Jan 15, 2024
Skewness helps in understanding the potential bias in data due to asymmetry. It is crucial in fields like finance for risk management, as it indicates the direction of outliers. Kurtosis, however, is used to understand the risk of extreme values, as distributions with high kurtosis are more likely to experience extreme events.
Shumaila Saeed
Jan 15, 2024
Skewness affects the position of the mean, median, and mode of a distribution, with the direction of skewness indicating where the bulk of data values lie. In Kurtosis, the focus is not on the central tendency but on the extremities of the data distribution, particularly the tails.
Shumaila Saeed
Jan 15, 2024
Skewness is often used to inform data transformation strategies, as correcting skewness can lead to more accurate statistical models. Kurtosis is used to assess the risk of outliers, which is important in fields like quality control and portfolio management where extreme values can have significant impacts.
Shumaila Saeed
Jan 15, 2024
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Comparison Chart
Definition
Measures asymmetry of distribution
Measures tailedness of distribution
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Jan 15, 2024
Effect on Distribution
Affects position of mean, median, mode
Affects concentration in distribution's peak and tails
Shumaila Saeed
Jan 15, 2024
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Skewness and Kurtosis Definitions
Skewness
Skewness indicates where the bulk of values in a distribution lie.
A negative skewness in the dataset suggested a concentration of lower values.
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Jan 08, 2024
Kurtosis
Kurtosis measures the concentration of values in the tails of a distribution.
High kurtosis indicated a greater risk of extreme stock returns.
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Jan 08, 2024
Skewness
It measures the extent of distortion or deviation from a symmetrical distribution.
The skewness in test scores showed a bias towards higher values.
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Jan 08, 2024
Kurtosis
It indicates the peak sharpness and tail heaviness of a distribution.
The distribution's low kurtosis suggested fewer extreme weather events.
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Jan 08, 2024
Skewness
Skewness quantifies the asymmetry of a distribution from its mean.
A positive skewness in income data indicates more high earners.
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Jan 08, 2024
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Kurtosis
Kurtosis helps in evaluating the tails' impact on a statistical model.
The data's kurtosis was considered to assess its predictive reliability.
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Jan 08, 2024
Kurtosis
Kurtosis can indicate the extremity of events in a dataset.
A high kurtosis in rainfall data pointed to more frequent heavy rainfalls.
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Jan 08, 2024
Skewness
To give a bias to; distort
The use of a limited sample skewed the findings of the study.
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Jan 06, 2024
Kurtosis
Kurtosis assesses the likelihood of outliers in data.
The investment's return distribution had high kurtosis, suggesting high risk.
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Jan 08, 2024
Kurtosis
A quantity indicating how sharply a probability distribution function increases and decreases around the distribution's mean.
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Jan 06, 2024
Kurtosis
(statistics) A measure of "heaviness of the tails" of a probability distribution, defined as the fourth cumulant divided by the square of the variance of the probability distribution.
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Jan 06, 2024
Skewness
To display a statistical tendency toward
A television program that skews toward teenagers.
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Jan 06, 2024
Kurtosis
(statistics) Excess kurtosis: the difference between a given distribution's kurtosis and the kurtosis of a normal distribution.
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Jan 06, 2024
Skewness
(Mathematics) Neither parallel nor intersecting. Used of straight lines in space.
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Jan 06, 2024
Skewness
(Statistics) Not symmetrical about the mean. Used of distributions.
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Jan 06, 2024
Skewness
(statistics) A measure of the asymmetry of the probability distribution of a real-valued random variable; is the third standardized moment, defined as where is the third moment about the mean and is the standard deviation.
Shumaila Saeed
Jan 06, 2024
Skewness
Skewness can reveal potential outliers in data.
High skewness in the data pointed to possible outliers affecting the average.
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Jan 08, 2024
Skewness
Skewness helps in identifying the direction of data spread.
The skewness analysis revealed a leftward spread in the data.
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Jan 08, 2024
Repeatedly Asked Queries
Can skewness affect data interpretation?
Yes, skewness can bias interpretations by indicating asymmetry in data distribution.
Shumaila Saeed
Jan 15, 2024
Is kurtosis a measure of peak height?
Kurtosis measures both peak height and the concentration of tail values.
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Jan 15, 2024
How does low kurtosis affect a distribution?
Low kurtosis results in a flatter distribution with fewer extreme values.
Shumaila Saeed
Jan 15, 2024
Can kurtosis indicate financial risk?
Yes, high kurtosis in financial data can indicate a higher risk of extreme market movements.
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Jan 15, 2024
Is a high kurtosis desirable in data analysis?
Desirability of high kurtosis depends on the context and risk tolerance in analysis.
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Jan 15, 2024
What does high kurtosis imply about a dataset?
High kurtosis implies more values in the tails, suggesting a risk of extreme values.
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Jan 15, 2024
What type of skewness do normal distributions have?
Normal distributions typically have a skewness close to zero.
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Jan 15, 2024
What does negative skewness signify?
Negative skewness signifies a longer left tail in the distribution.
Shumaila Saeed
Jan 15, 2024
How is skewness used in risk management?
Skewness is used to assess the direction and extent of risk in asymmetric distributions.
Shumaila Saeed
Jan 15, 2024
What does positive skewness indicate?
Positive skewness indicates a longer right tail in the distribution.
Shumaila Saeed
Jan 15, 2024
Does skewness measure central tendency?
Skewness doesn't measure central tendency but the asymmetry around it.
Shumaila Saeed
Jan 15, 2024
Can kurtosis be negative?
Yes, kurtosis can be negative, indicating a distribution with light tails.
Shumaila Saeed
Jan 15, 2024
How does kurtosis relate to variance?
Kurtosis provides insight into the distribution's tails beyond what variance measures.
Shumaila Saeed
Jan 15, 2024
Is skewness important in finance?
Yes, skewness is crucial in finance for understanding investment return distributions.
Shumaila Saeed
Jan 15, 2024
Is it possible to have zero skewness?
Yes, zero skewness indicates a perfectly symmetrical distribution.
Shumaila Saeed
Jan 15, 2024
What does a kurtosis value of 3 indicate?
A kurtosis value of 3 indicates a normal distribution's level of tailedness.
Shumaila Saeed
Jan 15, 2024
Can kurtosis help in outlier detection?
Yes, kurtosis is useful for identifying the potential for outliers in a dataset.
Shumaila Saeed
Jan 15, 2024
What is the relationship between skewness and mean?
Skewness affects the mean's position relative to the median and mode.
Shumaila Saeed
Jan 15, 2024
Does skewness affect model accuracy?
Yes, unaddressed skewness can lead to inaccuracies in statistical models.
Shumaila Saeed
Jan 15, 2024
Can kurtosis be used to compare distributions?
Yes, kurtosis is used to compare the tail behavior of different distributions.
Shumaila Saeed
Jan 15, 2024
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About Author
Written by
Shumaila SaeedShumaila Saeed, an expert content creator with 6 years of experience, specializes in distilling complex topics into easily digestible comparisons, shining a light on the nuances that both inform and educate readers with clarity and accuracy.
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