How to Calculate Geometric Mean

&NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;95 -->&NewLine;<div class&equals;"quads-location quads-ad1" id&equals;"quads-ad1" style&equals;"float&colon;left&semi;margin&colon;0px 0px 0px 0&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;<p align&equals;"justify">Geometric mean is defined only for non-zero positive values&period; Therefore in order to use geometric mean all the observations must be positive and greater than zero&period; Since geometric mean has the effect of reducing the influence of large items therefore it is used in the calculations of index numbers&comma; average of ratios&comma; and rates of change etc&period; <&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<h3 align&equals;"justify">Geometric Mean of Ungrouped Data<&sol;h3>&NewLine;<p align&equals;"justify">If the data is not presented in the frequency distribution then the geometric mean can be calculated by simply taking the log of all observations&comma; adding them up&comma; dividing them by total number of observations and taking antilog of the resultant number&period; The calculation of geometric mean can be elaborated with the help of following problem&period;<&sol;p>&NewLine;<p align&equals;"justify"><strong>Problem&colon;<&sol;strong> A student got the following scores &lpar;out of 100&rpar; in different subjects in an examination&colon; Urdu&colon; 8&comma; English&colon; 67&comma; Biology&colon; 85&comma; Chemistry&colon; 35&comma; Physics&colon; 50&comma; Math&colon; 100&period; Find the geometric mean&period;<&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p align&equals;"justify"><a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;05&sol;image27&period;png"><img title&equals;"image" style&equals;"border-top-width&colon; 0px&semi; display&colon; inline&semi; border-left-width&colon; 0px&semi; border-bottom-width&colon; 0px&semi; border-right-width&colon; 0px" height&equals;"343" alt&equals;"image" src&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;05&sol;image&lowbar;thumb27&period;png" width&equals;"200" border&equals;"0" &sol;><&sol;a> <&sol;p>&NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;95 -->&NewLine;<div class&equals;"quads-location quads-ad2" id&equals;"quads-ad2" style&equals;"float&colon;none&semi;margin&colon;0px 0 0px 0&semi;text-align&colon;center&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<h3>Geometric Mean of Grouped Data<&sol;h3>&NewLine;<p align&equals;"justify">If the data is presented in the frequency distribution then we have to first calculate the mid points of each class interval&comma; take antilog of the mid points&comma; multiply them with the corresponding frequencies&comma; add the resulting values&comma; divide them by sum of frequencies and take antilog of the final number&period; Geometric mean calculation of grouped data can be elaborated with the help of following problem&period;<&sol;p>&NewLine;<p align&equals;"justify"><strong>Problem&colon;<&sol;strong> Given a frequency distribution calculate the Geometric Mean&period; <&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p align&equals;"justify"><a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;05&sol;image28&period;png"><img title&equals;"image" style&equals;"border-top-width&colon; 0px&semi; display&colon; inline&semi; border-left-width&colon; 0px&semi; border-bottom-width&colon; 0px&semi; border-right-width&colon; 0px" height&equals;"399" alt&equals;"image" src&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;05&sol;image&lowbar;thumb28&period;png" width&equals;"500" border&equals;"0" &sol;><&sol;a>&NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;95 -->&NewLine;<div class&equals;"quads-location quads-ad3" id&equals;"quads-ad3" style&equals;"float&colon;none&semi;margin&colon;0px&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;&NewLine;