Question

What is the mode for the data? $20,20,20,21,21,21,21,21,22,22,22,22,22,22,22,23,23,23,23,23,24,24,25$

Answer 1

Hint: The "mode" is the value that occurs most often. If no number in the list is repeated, then there is no mode for the list, that is data which occurs more time then we can say that the data which occurs more time is called the mode for that data.

Complete step by step Solution:
Given that the data is
$20,20,20,21,21,21,21,21,22,22,22,22,22,22,22,23,23,23,23,23,24,24,25$
Now we will see the data very carefully and we will find the frequency so that we can find the data which occurs more often.
Now we will draw a table in which we will draw two columns one for the data and another column for the frequency for the data-

Data	Frequency
$20$	$03$
$21$	$05$
$22$	$07$
$23$	$05$
$24$	$02$
$25$	$01$

Now in the table, we can see the maximum frequency is only for one data which is $22$ and the frequency for this data is $07$.
So here the mode for the given data is the $22$ which is the required answer.

Note:
Always remember that when we discuss the mode then always remember one thing which is the frequency data which has maximum frequency is the mode for our given data and the same for grouped or class data the number frequency is maximum then it is called the mode for that class data.