Answer :
The distribution is skewed negatively in this instance. Pearson's coefficient of skewness in this instance is -1.65.
Define skewness.
Skewness is a descriptive statistic that may be used to describe the data or distribution along with the histogram and the normal quantile plot. The degree to which a distribution deviates from the normal distribution is described by its skewness. Skewness and kurtosis are used to more accurately assess the possibility of events occurring in a probability distribution's tails.
Given,
The mean number of gallons is 13.6, with a standard deviation of 3.0 gallons. the median is 15.25 gallons.
The skewness evaluates the set's shape by comparing it to a normal distribution. The set of data distribution deviates from a normal distribution if the coefficient is high.
The formula for the person's skewness coefficient is:
Sk = 3 (Mean-Median) (standard deviation)
Regarding this issue:
Sk= 3*(13.6-15.25)/3
Sk= 3*(-1.65)/3
Sk= -1.65
The distribution is skewed negatively in this instance.
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