Matching Statistical Properties with Definitions

This question requires matching four statistical properties (Skewness, Kurtosis, Variance, Range) listed in List - I with their corresponding definitions in List - II.

Key Statistical Concepts Explained

• Skewness (A): This property measures the asymmetry of a probability distribution. It indicates whether the data is skewed to the left or right of the mean. It directly corresponds to the definition of measuring the departure from symmetry.
  • A matches with IV. Measure of departure from symmetry.
• Kurtosis (B): This statistical measure describes the shape of a probability distribution's tails relative to its peak. It specifically quantifies the "peakedness" or "flatness" of the distribution.
  • B matches with II. Measure of the degree of peakedness of a distribution.
• Variance (C): Variance is a measure of data dispersion. It is defined as the average of the squared differences from the Mean. Mathematically, it is the square of the standard deviation.
  • C matches with III. Square of standard deviation.
• Range (D): The range is the simplest measure of statistical dispersion. It represents the difference between the maximum and minimum values in a dataset.
  • D matches with I. Difference between highest and least values of the variable.

Correct Matching

Based on the definitions:

• Skewness (A) is the Measure of departure from symmetry (IV).
• Kurtosis (B) is the Measure of the degree of peakedness (II).
• Variance (C) is the Square of standard deviation (III).
• Range (D) is the Difference between highest and least values (I).

Therefore, the correct combination is A-IV, B-II, C-III, D-I.