Question

The marks obtained by the students are as follows.

Marks	13	17	19	21	25
Number of students	3	11	22	10	4

Find the mode.
A. 13
B. 17
C. 19
D. 21

Answer 1

Mode of a set of data means the value which appears the most often. Since the marks have been ungrouped, then we will look at the marks in which the most number of students have scored. The marks will be the mode of the given data.

Complete step-by-step solution:
The mode of a given data set is the number or term that occurs most frequently in that set and to find the mode we have to put the given numbers or terms in ascending order or in order from least to the greatest number or term after that we have to count that which number has occurred the most. So, the number that occurs the most is the mode.
Now, by observing the frequencies of all the values we can say that mark 19 is repeated a maximum number of times at 22.
Thus, by the definition of mode, the number having a maximum frequency, here it is 19 is the mode of the set of data.

Hence option (C) is correct.

Note: To find the mode, modal value is the best way to arrange the given number into ascending order means from the smallest number to the largest number then we have to check which number is occurring most of the time hence, that number or interval is the mode for the given data.
A dataset can have 0,1 or more than 1 mode. The advantage of Mode is that it can be applied to any type of dataset, unlike Mean and Median which cannot be applied to nominal data. It is also not affected by outliers. Its disadvantage is that it cannot be used for more detailed analysis.