Mode is the value which occurs most frequently in a set of observations.
The mode for the discrete frequency distribution is the value of x corresponding to maximum frequency.
The mode for the grouped or continuous frequency distribution is
Where l is the lower limit of the median class, f is the frequency of the median class, h is the magnitude of the median class, c is the c.f. of the class preceding the median class and N is the number of observations.
1.1.4 Geometric mean:
The Geometric mean of a set of n observations is the nth root of their product. The geometric mean is denoted by G.
The geometric mean for a discrete frequency observation is
Taking logarithm on both sides we get the formula as
Where fi is the frequency for the observation, Xi is the variables and N is the number of observations.
The geometric mean for grouped or continuous frequency distribution x is taken to be the value corresponding to the midpoint of the class intervals.
1.1.5 Harmonic mean:
Harmonic mean of a set of observations is the reciprocal of the arithmetic mean of the reciprocals of the given values. The harmonic mean is denoted by H.
The harmonic mean for the frequency distribution is
Where fi is the frequency for the observation, Xi is the variables and N is the number of observations
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