Quartiles, Deciles and Percentiles (Grouped Data)

&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> &&num;160&semi;<&sol;p>&NewLine;<p> <a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image189&period;png"><img title&equals;"image" style&equals;"border-right&colon; 0px&semi; border-top&colon; 0px&semi; display&colon; inline&semi; border-left&colon; 0px&semi; border-bottom&colon; 0px" height&equals;"229" alt&equals;"image" src&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image&lowbar;thumb189&period;png" width&equals;"350" border&equals;"0" &sol;><&sol;a> <&sol;p>&NewLine;<p> &&num;160&semi;<&sol;p>&NewLine;<p> <a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image190&period;png"><img title&equals;"image" style&equals;"border-right&colon; 0px&semi; border-top&colon; 0px&semi; display&colon; inline&semi; border-left&colon; 0px&semi; border-bottom&colon; 0px" height&equals;"428" alt&equals;"image" src&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image&lowbar;thumb190&period;png" width&equals;"300" border&equals;"0" &sol;><&sol;a> <&sol;p>&NewLine;<p> &&num;160&semi;<&sol;p>&NewLine;<h3>Median of Frequency Distribution<&sol;h3>&NewLine;<p> In case of frequency distribution median can be calculated with the help of following formula&period;<&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> &&num;160&semi;<&sol;p>&NewLine;<p> <a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image191&period;png"><img title&equals;"image" style&equals;"border-right&colon; 0px&semi; border-top&colon; 0px&semi; display&colon; inline&semi; border-left&colon; 0px&semi; border-bottom&colon; 0px" height&equals;"220" alt&equals;"image" src&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image&lowbar;thumb191&period;png" width&equals;"350" border&equals;"0" &sol;><&sol;a> <&sol;p>&NewLine;<p> &&num;160&semi;<&sol;p>&NewLine;<p> <a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image192&period;png"><img title&equals;"image" style&equals;"border-right&colon; 0px&semi; border-top&colon; 0px&semi; display&colon; inline&semi; border-left&colon; 0px&semi; border-bottom&colon; 0px" height&equals;"314" alt&equals;"image" src&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image&lowbar;thumb192&period;png" width&equals;"300" border&equals;"0" &sol;><&sol;a> <&sol;p>&NewLine;<p> &&num;160&semi;<&sol;p>&NewLine;<p> Hence it is proved that Q2 &equals; D5 &equals; P50 &equals; Median<&sol;p>&NewLine;<p> &&num;160&semi;<&sol;p>&NewLine;<p> In order to see the relationship between Quartiles&comma; Deciles and Percentiles in case of Ungrouped data <a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;statistics&sol;258&sol;relationship-between-quartiles-deciles-and-percentiles&period;html" target&equals;"&lowbar;blank" rel&equals;"noopener">click here<&sol;a>&period; &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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