{"id":2655,"date":"2023-04-25T10:00:08","date_gmt":"2023-04-25T04:30:08","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=2655"},"modified":"2023-04-26T09:32:29","modified_gmt":"2023-04-26T04:02:29","slug":"mode-statistics","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/mode-statistics\/","title":{"rendered":"What is the Mode in Statistics"},"content":{"rendered":"
What is the Mode in Statistics<\/strong><\/h2>\n
Mode is also known as norm. \nMode is the value which occurs most frequently in a set of observations and around which the other items of the set cluster density. \nAlgorithm<\/strong> \nStep I :\u00a0\u00a0 <\/strong>Obtain the set of observations. \nStep II :\u00a0 <\/strong>Prepare the frequency distribution. \nStep III : <\/strong>Obtain the value which has the maximum frequency. \nStep IV :\u00a0 <\/strong>The value obtained in step III is the mode.<\/p>\n
The mode or model value of a distribution is that value of the variable for which the frequency is maximum. For continuous series, mode is calculated as,<\/p>\n
<\/p>\n
Symmetric distribution:<\/strong> A distribution is a symmetric distribution if the values of mean, mode and median coincide. In a symmetric distribution frequencies are symmetrically distributed on both sides of the centre point of the frequency curve. \n \nA distribution which is not symmetric is called a skewed-distribution. In a moderately asymmetric distribution, the interval between the mean and the median is approximately one-third of the interval between the mean and the mode i.e., we have the following empirical relation between them, \nMean \u2013 Mode = 3(Mean \u2013 Median) \n\u21d2 Mode = 3 Median \u2013 2 Mean. \nIt is known as Empirical relation<\/strong>.<\/p>\n
Relative characteristics of mean, median and mode<\/strong><\/p>\n\n
Mean is usually understood as arithmetic average, since its basic definition is given in arithmetical terms.<\/li>\n
Mean is regarded as the true representative of the whole population since in its calculation all the values are taken into consideration. It does not necessarily assume a value that is the same as one of theoriginal ones (which\u00a0 other averages often do).<\/li>\n
Mean is suitable for sets of data which do not have extreme values. In other cases, median is the appropriate measure of location.<\/li>\n
Mode is the most useful measure of location when the most common or most popular item is required.<\/li>\n<\/ol>\n