Here you will learn what is the formula for mode of grouped and ungrouped data and how to find mode with examples.<\/p>\n
Let’s begin –<\/p>\n
Mode is the size of the variable which occurs most frequently.<\/p>\n
(i) For ungrouped distribution :\u00a0<\/strong>The value of that variate which is repeated maximum number of times.<\/p>\n Example<\/strong><\/span> : Find the mode of the following data 1, 2, 3, 1, 5, 6, 2, 8, 2, 9.<\/p>\n Solution<\/strong><\/span> : Here, 2 is repeated maximum number of times.<\/p>\n Hence, Mode is 2.<\/p>\n (ii) For ungrouped frequency distribution : <\/strong>The value of that variate which have maximum frequency.<\/p>\n Example : <\/span>Find the mean of the following freq. dist.<\/p>\n Solution : <\/span>In the above table we notice that the size 7 has the maximum frequency i.e. 35<\/p>\n Therefore, 7 is the mode of distribution.<\/p>\n (iii) For grouped frequency distribution :\u00a0<\/strong>First we find the class which have maximum frequency, this is model class.<\/p>\n \\(\\therefore\\) Mode = (\\(l\\) + \\(f_0 – f_1\\over {2f_0 – f_1 – f_2}\\))\\(\\times\\)h<\/p>\n where\u00a0 \\(l\\) = lower limit of model class<\/p>\n \\(f_0\\) = freq. of model class<\/p>\n \\(f_1\\) = freq. of the class preceding model class<\/p>\n \\(f_2\\) = freq. of the class succeeding model class<\/p>\n h = class interval of model class<\/p><\/blockquote>\n\n\n
\n Size of the shoes<\/td>\n 4<\/td>\n 5<\/td>\n 6<\/td>\n 7<\/td>\n 8<\/td>\n<\/tr>\n \n Number of pairs sold<\/td>\n 10<\/td>\n 15<\/td>\n 20<\/td>\n 35<\/td>\n 16<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n