What is Weighted Arithmetic 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">&NewLine;If all the values of the data are not equally important&comma; a weighted arithmetic mean is calculated after assigning appropriate weights to the values of the data&period; The basic difference between arithmetic mean and weighted arithmetic mean is the assignment of weights to each value in a collection according to its importance&period; If all the weights are equal to each other&comma; the weighted mean equals the arithmetic mean&period; The concept of weighted arithmetic mean can be explained with the help of following problems&period; <&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p align&equals;"justify"><strong>Problem A&colon;<&sol;strong> Given that A &equals; 4&comma; B&plus; &equals; 3&period;5&comma; B &equals; 3&comma; C&plus; &equals; 2&period;5&comma; C &equals; 2&comma; F &equals; 0&comma; determine the grade point average carried by a student in particular semester&comma; based on the following grades&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;image16&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;"256" 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;thumb16&period;png" width&equals;"350" border&equals;"0" &sol;><&sol;a> <&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&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"><strong>Solution&colon;<&sol;strong><&sol;p>&NewLine;<p align&equals;"justify"><strong><&sol;strong><&sol;p>&NewLine;<p align&equals;"justify">The formula of weighted arithmetic mean is given as&colon;<&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;05&sol;image17&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;"47" 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;thumb17&period;png" width&equals;"240" border&equals;"0" &sol;><&sol;a> <&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p align&equals;"justify">After taking information from problem A we get x &lpar;credit hours&rpar; and w &lpar;weights assigned to grades&rpar;&period; By multiplying w with x we get wx and by adding all the values of wx we get &quest;wx&period; similarly &quest;w is obtained by adding all the values of w&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;image18&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;"237" 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;thumb18&period;png" width&equals;"223" border&equals;"0" &sol;><&sol;a> <&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p> Weighted Arithmetic Mean&equals; 49&period;5&sol;16&equals;3&period;094<br &sol;>&NewLine;Therefore the grade average point of the student is 3&period;094 which falls in B grade&period; <&sol;p>&NewLine;<p align&equals;"justify">&NewLine;<strong>Problem B&colon;<&sol;strong> Suppose there are 20 men and 10 women in an office&period; The average age of 20 men is 30 years while that of the 10 women is 25 years&period; Find the mean age of the employees working in the office&period; <&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p align&equals;"justify"><strong>Solution&colon;<&sol;strong><&sol;p>&NewLine;<p align&equals;"justify"><strong><br &sol;>&NewLine;<&sol;strong>By putting the values from above problem into the table we get&colon;<&sol;p>&NewLine;<p> &&num;160&semi;<&sol;p>&NewLine;<p> &&num;160&semi;<a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;05&sol;image19&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;"158" 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;thumb19&period;png" width&equals;"350" 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;

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