Question

The mode of the distribution $3,5,7,4,2,1,4,3,4$ is
$\left( a \right){\text{ 7}}$
$\left( b \right){\text{ 4}}$
$\left( c \right){\text{ 3}}$
$\left( d \right){\text{ 1}}$

Answer 1

Hint: Since we know that the mode is the value that occurs or we can say happens the highest number of times. So for finding the mode we need to calculate the frequency first. And we also know that frequency means the number of times that particular term is present. So by calculating it we can then easily find the mode from them.

Complete step-by-step answer:
So we have the observation given as $3,5,7,4,2,1,4,3,4$ .
And from this, we will first find out the frequency. And for this, we know that the frequency is calculated by checking the number of times that particular number is present in the observation. So by checking that we have the frequency and observation table as

Observation	Frequency
3	2
5	1
7	1
4	3
2	1
1	1

So for understanding we can see that here $3$ is present two times and similarly, the other number is also seen.
Now for finding the mode, we know that the mode is the value that occurs or we can say happens the highest number of times. So in this table, we can see that $4$ is the observation which occurred the most number of times that is $3$ .
Hence, $4$ this will be the mode for this distribution.
Therefore, the option $\left( b \right)$ is correct.

Note: We can see how easily we find the mode, and for this only thing needed is the property or we can say the definition. So while solving such types of questions we should not always be focused on the process and all but also we should understand the terms used in it and then only we can answer such questions even if they are twisted or hard.