Arithmetic mean is a measure of central tendency of a set of values of a variable and is obtained by dividing the sum of the values of the variable by number of values included in the sum. Mathematically, if x1, x2 , …, xn be the n values of a variable x and (read as x […]
Measures of Central Tendency
Geometric Mean (G.M.): Definition, Formula, Calculation, A-Z
Definition: Geometric mean of a set of n values of a variable gives a measure of their central tendency and is equal to the nth root of their product. Evidently, the geometric mean is not defined if one observation is zero or negative. If G be the geometric mean of n values x1, x2, …, […]
Mode: Definition, Formula, Calculation, Example, Advantages and Disadvantages
Mode is a measure of central tendency of a set of values of a variable and is defined to be that value of the variable which occurs with maximum frequency. It is the most frequent value of the variable in its distribution and represents the true character of the distribution as a measure of central […]
Median: Definition, Formula, Calculation, Example, Advantages and Disadvantages
Definition of Median: Median of a set of values of a variable gives a measure of their central tendency and is defined to be the middle most variable value when the values are arranged in order of magnitude (ascending or descending). In the words, Median is the value of that item in a series which […]
Harmonic Mean (H.M.): Definition, Formula, Calculation, Use, A-Z
Definition of Harmonic Mean (H.M.) Harmonic Mean of a set of values of a variable gives a measure of their central tendency and is defined as the reciprocal of the arithmetic mean of the reciprocals of the variable values. Clearly, harmonic mean becomes undefined when anyone variable value is zero. The formula of Harmonic Mean: […]
Relation among A.M., G.M. and H.M.
(a) For any two positive numbers. A.M. ≥ G.M. ≥ H.M. Proof : let x1 and x2 be two the two positive numbers. therefore their, (b) for pair of positive number A.M. × H.M = G.M.2 Proof : let positive number be x1, x2. therefore, Example: The A.M. and G.M. of two number are […]