Modal value in statistics

Mode Statistics
In statistics, the four basic measures of central tendency are Mean, Median and Mode. We know that Mean is the Average of the total data values in a given data set and Median is the middle value of the given data set when values are arranged in the numerical order. What is Mode, at times we come across a data set in which a number repeats most number of times that is it occurs most often such a data value is called the Mode. For example, consider the data, 1, 1, 3, 3, 3, 3, 5, 5, 7. As you can see the number that occurs most number of times is 3 as it is appearing four times which is the most number of times in the given list and hence 3 is the Mode

Mode Definition
Let us now define Mode, in simple words mode can be defined as the data value that occur most number of times in the data list. There can be more than one mode in a given data set, if there are two modes in a given set it is called bi-modal and if more than two modes in the data set is called multimodal. If there is no number that occurs most frequently then we can say that the data set has no mode. For example the data, 11, 12, 13, 8, 9, 11, 14, 11, 9, 15, 11, 12. First let us arrange the given data set in the numerical order. 8, 9, 9, 11, 11, 11, 11,12, 12, 13, 14, 15. Now let us list the data values that occur more than once. The data value 9 occurs 2 times, the data value 11 occurs 4 times, the data value 12 occurs two times. So, the data value that occurs most number of times is 11 which is four times and hence the mode of the data set is 11.

Mode Formula: the value that occurs most frequently in a data set when arranged in numerical order. The typing speed (in words per minute) of a typist working in a firm are 46, 52, 40, 38, 52, 36, 46, 52, 37, 46  find the modal value or the mode using the mode formula.

First we arrange the typing speeds in the numerical order which gives us 36, 37, 38, 40, 46, 46, 46, 50, 50, 50. The values that are occurring most frequently are 46 and 50, both the values are occurring three times in the list and hence we can call it bimodal with the modes 46 and 50.