Question

The students of grade $7$ were dividied into two groups, group $A$ and group $B$, such that each group consists of seven students. They were given a quiz and the marks obtained by students of both the groups are noted and represented as follows:



With respect to the mode of the data, choose the correct option.

• A. $\text{Mode}A<\text{Mode}B$
• B. $\text{Mode}A=\text{Mode}B=22$
• C. $\text{Mode}A>\text{Mode}B$
• D. $\text{Mode}A=\text{Mode}B=30$

Answer 1

The correct option is C $\text{Mode}A>\text{Mode}B$

The most frequently occuring value in the data set is said to be the mode of the given data.

Observe the marks of group $A$ students.


Here, the most frequently occuring value is $24$, thus the mode of marks of group $A$ is $24$.

Now, observe the marks of group $B$.


The most frequently occuring value in this data set is $22$, thus the mode of marks of group $B$ is $22$.

Hence, it can be concluded that mode of group $A$ is greater than mode of group $B$, i.e., $\text{Mode}A>\text{Mode}B$.