Question

The marks obtained by twenty students are given as follows:
27, 22, 24, 17, 16, 15, 14, 22, 17, 15, 22, 26, 19, 22, 20, 22, 16, 15, 22, 27.
Find the modal marks.

Answer 1

Hint: The Mode is a statistical value in statistics and the probability theory, the mode is a value which occurs most of the time in a given set of data values, or the value that appears maximum number of times, or it is a value which repeats more often or most recurring value in the given set of data. Mode is the value of the variable of which the frequency is maximum.

Complete step-by-step solution:
Here in this problem marks of each student is given, and asked to find the modal mark.
So here the modal mark is that which the mark is repeated maximum number of times of the students.
Let’s count the number of times each mark got repeated.
Starting with the 1s mark:
$ \Rightarrow $27 is repeated for 2 times.
$ \Rightarrow $22 is repeated for 6 times.
$ \Rightarrow $24 is repeated for 1 time.
$ \Rightarrow $17 is repeated for 2 times.
$ \Rightarrow $16 is repeated for 2 times.
$ \Rightarrow $15 is repeated for 3 times.
$ \Rightarrow $14 is repeated for 1 time.
$ \Rightarrow $26 is repeated for 1 time.
$ \Rightarrow $19 is repeated for 1 time.
$ \Rightarrow $20 is repeated for 1 time.
$\therefore $ Here 22 is repeated for a maximum number of times than any other number, hence 22 is the modal number, as it is repeated for 6 times.

22 is the modal mark.

Note: While finding out the modal value in statistics, it is to be carefully observed for how many times the value is recurring or repeating itself, so as to find out the actual mode out of the observations.