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- https://stats.libretexts.org/Courses/Fort_Hays_State_University/Elements_of_Statistics/02%3A_Descriptive_Statistics/2.05%3A_Measures_of_Central_TendencyIn this section, we motivate and discuss the most common descriptive statistics that provide information about where the data falls; we call such descriptive statistics measures of central tendency. T...In this section, we motivate and discuss the most common descriptive statistics that provide information about where the data falls; we call such descriptive statistics measures of central tendency. The three most common measures of central tendency are the mode, the median, and the mean.
- https://stats.libretexts.org/Courses/Cerritos_College/Introduction_to_Statistics_with_R/06%3A_Describing_Data_With_Numbers_Using_R/6.03%3A_Skew_and_KurtosisThere are two more descriptive statistics that you will sometimes see reported in the psychological literature, known as skew and kurtosis. In practice, neither one is used anywhere near as frequently...There are two more descriptive statistics that you will sometimes see reported in the psychological literature, known as skew and kurtosis. In practice, neither one is used anywhere near as frequently as the measures of central tendency and variability that we’ve been talking about. Skew is pretty important, so you do see it mentioned a fair bit; but I’ve actually never seen kurtosis reported in a scientific article to date.
- https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/BFE_1201_Statistical_Methods_for_Finance_(Kuter)/02%3A_Descriptive_Statistics/2.07%3A_Skewness_and_the_Mean_Median_and_ModeThe variance measures the squared differences of the data from the mean, and skewness measures the cubed differences of the data from the mean. While the mean and standard deviation are dimensional qu...The variance measures the squared differences of the data from the mean, and skewness measures the cubed differences of the data from the mean. While the mean and standard deviation are dimensional quantities (this is why we will take the square root of the variance ) that is, have the same units as the measured quantities xi, the skewness is conventionally defined in such a way as to make it nondimensional.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/02%3A_Descriptive_Statistics/2.06%3A_Skewness_and_the_Mean_Median_and_ModeThis page discusses symmetry and skewness in distributions, highlighting that symmetrical distributions have equal mean, median, and mode. Left-skewed distributions show the mean lower than the median...This page discusses symmetry and skewness in distributions, highlighting that symmetrical distributions have equal mean, median, and mode. Left-skewed distributions show the mean lower than the median, which is lower than the mode, while right-skewed distributions have the mode lower than the median and median lower than the mean. Skewness quantifies a distribution's asymmetry and points to the tail's direction, with negative values indicating left skew and positive values indicating right skew.
- https://stats.libretexts.org/Workbench/PSYC_2200%3A_Elementary_Statistics_for_Behavioral_and_Social_Science_(Oja)_WITHOUT_UNITS/02%3A_What_Do_Data_Look_Like_(Graphs)/2.07%3A_Skew_and_KurtosisMore new vocabulary to describe the shape of your graph!
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Learning_Statistics_with_R_-_A_tutorial_for_Psychology_Students_and_other_Beginners_(Navarro)/05%3A_Descriptive_Statistics/5.03%3A_Skew_and_KurtosisThere are two more descriptive statistics that you will sometimes see reported in the psychological literature, known as skew and kurtosis. In practice, neither one is used anywhere near as frequently...There are two more descriptive statistics that you will sometimes see reported in the psychological literature, known as skew and kurtosis. In practice, neither one is used anywhere near as frequently as the measures of central tendency and variability that we’ve been talking about. Skew is pretty important, so you do see it mentioned a fair bit; but I’ve actually never seen kurtosis reported in a scientific article to date.
- https://stats.libretexts.org/Courses/American_River_College/STAT_300%3A_My_Introductory_Statistics_Textbook_(Mirzaagha)/01%3A_Basic_Ideas/1.04%3A_Introduction_to_Statistics/1.4.10%3A_DistributionsDefine "distribution" Interpret a frequency distribution Distinguish between a frequency distribution and a probability distribution Construct a grouped frequency distribution for a continuous variabl...Define "distribution" Interpret a frequency distribution Distinguish between a frequency distribution and a probability distribution Construct a grouped frequency distribution for a continuous variable
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Book%3A_Lies_Damned_Lies_or_Statistics_-_How_to_Tell_the_Truth_with_Statistics_(Poritz)/01%3A__One-Variable_Statistics_-_Basics/1.04%3A_New_PageNow suppose we have a population and quantitative variable in which we are interested. We get a sample, which could be large or small, and look at the values of the our variable for the individuals in...Now suppose we have a population and quantitative variable in which we are interested. We get a sample, which could be large or small, and look at the values of the our variable for the individuals in that sample. There are two ways we tend to make pictures of datasets like this: stem-and-leaf plots and histograms.
- https://stats.libretexts.org/Courses/Cerritos_College/Introduction_to_Statistics_with_R/05%3A_Summarizing_Data_With_Numbers/5.10%3A_Shapes_of_DistributionsWe saw in the section on distributions in Chapter 1 that shapes of distributions can differ in skew and/or kurtosis. Distributions with positive skew normally have larger means than medians. This sec...We saw in the section on distributions in Chapter 1 that shapes of distributions can differ in skew and/or kurtosis. Distributions with positive skew normally have larger means than medians. This section presents numerical indexes of these two measures of shape.
- https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/02%3A_Descriptive_Statistics/2.07%3A_Skewness_and_the_Mean_Median_and_ModeThe variance measures the squared differences of the data from the mean and skewness measures the cubed differences of the data from the mean. While the mean and standard deviation are dimensionalquan...The variance measures the squared differences of the data from the mean and skewness measures the cubed differences of the data from the mean. While the mean and standard deviation are dimensionalquantities (this is why we will take the square root of the variance ) that is, have the same units as the measured quantities Xi, the skewness is conventionally defined in such a way as to make it nondimensional.
- https://stats.libretexts.org/Workbench/Learning_Statistics_with_SPSS_-_A_Tutorial_for_Psychology_Students_and_Other_Beginners/04%3A_Descriptive_Statistics/4.03%3A_Skew_and_KurtosisThere are two more descriptive statistics that you will sometimes see reported in the psychological literature, known as skew and kurtosis. In practice, neither one is used anywhere near as frequently...There are two more descriptive statistics that you will sometimes see reported in the psychological literature, known as skew and kurtosis. In practice, neither one is used anywhere near as frequently as the measures of central tendency and variability that we’ve been talking about. Skew is pretty important, so you do see it mentioned a fair bit; but I’ve actually never seen kurtosis reported in a scientific article to date.
