How to Calculate Frequency Distribution

&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">The arrangement of data according to magnitude or size is called a frequency distribution&period; It is the method of putting data into different groups which are called class intervals or simply classes&period; From the frequency distribution comes the concept of grouped data &lpar;data presented in frequency distribution&rpar; and ungrouped data &lpar;data in original form&rpar;&period; The concept of frequency distribution and other related terms can be explained with the help of following table&period;&&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;image&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;"221" 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;thumb&period;png" width&equals;"500" border&equals;"0" &sol;><&sol;a> <&sol;p>&NewLine;<h3 align&equals;"justify">Class Intervals &lpar;C&period;I&rpar;<&sol;h3>&NewLine;<p align&equals;"justify">There are five groups in the above table namely 201 – 210&comma; 211 – 220&comma; 221 – 230&comma; less than 200&period;5 and 230&period;5 or more&period; These groups are called class intervals&period; <&sol;p>&NewLine;<h3 align&equals;"justify">Size or Width of Class Interval<&sol;h3>&NewLine;<p align&equals;"justify">Size or width of class interval is the total number of observations on which a class interval is formed&period; There are two types of class intervals i&period;e&period; equal size class intervals &lpar;size of each class interval is same&rpar; and unequal size class interval &lpar;size of each class interval is different&rpar;&period; In the above table size of each class interval is same i&period;e&period; 10 &lpar;211- 201 &equals; 10 Or 220 – 210 &equals; 10&rpar;&period; <&sol;p>&NewLine;<h3 align&equals;"justify">Class Limits<&sol;h3>&NewLine;<p align&equals;"justify">Class limits are the opening and closing limits of a class interval&period; There are two class limits of each interval i&period;e&period; Lower Class Limit and Upper Class Limit&period;<&sol;p>&NewLine;<p align&equals;"justify"><strong>a&period; Lower class limit<&sol;strong><&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">Lower class limit is that limit at which class interval starts for example 201&comma; 211 and 221&period; <&sol;p>&NewLine;<p align&equals;"justify"><strong>b&period; Upper class limit<&sol;strong><&sol;p>&NewLine;<p align&equals;"justify">Upper class limit is that limit at which class interval ends e&period;g&period; 210&comma; 220 and 230&period; <&sol;p>&NewLine;<p align&equals;"justify"><strong>c&period; Open class limit<&sol;strong><&sol;p>&NewLine;<p align&equals;"justify">Open class limit has either no lower class limit or no upper class limit e&period;g&period; less than 200&period;5 and 230&period;5 or more&period; <&sol;p>&NewLine;<h3 align&equals;"justify">Class Boundaries &lpar;C&period;B&rpar;<&sol;h3>&NewLine;<p align&equals;"justify">Class boundaries briefly indicate the exact numbers&comma; for example in above table if the weights are recorded to the nearest pound the class interval 201 – 210 includes all measurements from 200&period;500 to 210&period;500&period; These numbers are called class boundaries&period; <&sol;p>&NewLine;<h3 align&equals;"justify">Grouping Error<&sol;h3>&NewLine;<p align&equals;"justify">In case of frequency distribution when data is arranged in different intervals&comma; the actual observations are lost&period; This loss of information occurs due to significant difference between the results obtained from frequency distribution and results obtained from a raw data&period; The difference between the two results is called a grouping error&period; Grouping error can be reduced with the help of following assumptions&period;<&sol;p>&NewLine;<p align&equals;"justify">a&period; The values in each interval concentrate around the centre of the interval<&sol;p>&NewLine;<p align&equals;"justify">b&period; The values in each interval spread through out the interval&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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