2020
DOI: 10.1080/03610926.2020.1752386
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Improved frequency table’s measures of skewness and kurtosis with application to weather data

Abstract: The statistic" Midpoint" used as a magnitude of observations in each class of a frequency table leads to biased estimates of the two measures of shape of a distribution, skewness, and kurtosis. This research proposed three new statistics, the mean, median, and midrange of observations in each class instead of the midpoint. Simulation results using samples from normal, uniform, exponential distributions, and the real Istanbul weather data indicated that measures that used the mean as a representative of observa… Show more

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Cited by 12 publications
(13 citation statements)
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“…The mean and standard deviation are in the range of 4.19 to 4.21 and 0.611 to 0.68, respectively, indicating minimal variation. Skewness is a measure of symmetry in a distribution, whereas kurtosis is a measure of a distribution's peak or flatness (Mohammed, 2022). The negative skewness of the data is represented by values ranging from -1 to +1 in this study.…”
Section: Inferential Analysis: Summary Statisticsmentioning
confidence: 99%
“…The mean and standard deviation are in the range of 4.19 to 4.21 and 0.611 to 0.68, respectively, indicating minimal variation. Skewness is a measure of symmetry in a distribution, whereas kurtosis is a measure of a distribution's peak or flatness (Mohammed, 2022). The negative skewness of the data is represented by values ranging from -1 to +1 in this study.…”
Section: Inferential Analysis: Summary Statisticsmentioning
confidence: 99%
“…Further, it is necessary to verify the hypothesis of the normal distribution of the studied sample. The parameters of the normal distribution [33,34] (mathematical expectation ( ) and standard deviation ( )) are determined by the following equations:…”
Section: Fig 8 Histogram Of Measurement Errorsmentioning
confidence: 99%
“…An important function to mention is, the frequency table aid careful comparison of datasets. So also, various statistical measures can be obtained from the frequency table (Kenney, 1939;Mohammed et al, 2020a;Mohammed et al, 2020b).…”
Section: Introductionmentioning
confidence: 99%