Geometric mean for grouped data

Geometric Mean For Grouped Data. The geometric mean of grouped data is given by GMbiggprod_i1n x_if_ibigg1N OR log GM frac1Nsum_i1n f_ilogx_i where Nsum_i f_i total number of observations. Let x i f i i 1 2 n be given frequency distribution. The geometric mean for a given data is always less than the arithmetic means for a given data set. Find the geometric mean.

Rs Aggarwal Solutions Class 10 Chapter 9 Mean Median Mode Of Grouped Data Ex 9b Math Notes Solutions Class from www.pinterest.com

Geometric mean is another measure of central tendency. For example suppose you want to. The formula to calculate the geometric mean is given below. The following are the properties of Geometric mean. Equality is only obtained when all numbers in the data set are equal. The geometric mean of a non-empty data set of positive numbers is always at most their arithmetic mean.

Geometric mean is used when the data is in terms of rates and ratios.

For example suppose you want to. Harmonic mean of grouped data can be calculated with the help of following formula. Harmonic Mean of grouped Data. Consider if x1x2xn x 1 x 2. Equality is only obtained when all numbers in the data set are equal. GMtext of X overline X sqrtnx_1f_1 cdot x_2f_2 cdot x_3f_3 cdot x_4f_4 cdot x_5f_5.

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