Consider you are dealing with a dataset with zero skewness but high kurtosis. How would this shape the data distribution and affect your analysis?

  • The data distribution would be negatively skewed with a wider spread.
  • The data distribution would be perfectly symmetrical with a narrower spread and potential outliers.
  • The data distribution would be perfectly symmetrical with a wider spread.
  • The data distribution would be positively skewed with a narrower spread.
Zero skewness means the distribution is symmetrical, and high kurtosis means the distribution is leptokurtic with a sharp peak and fatter tails. Therefore, the data distribution will be symmetrical but with a potential for outliers. This may affect the results of statistical tests or models that assume normality, as extreme values could have a disproportionate effect on the results.
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