Question

Consider the following data which represents the weight of some students in the class.


With respect to the impact of outlier on mode, choose the correct option for the given data set.

• A. Mode with outlier is different from mode without outlier.
• B. Mode with outlier is mode without outlier.
• C. Mode with outlier is smaller than mode without outlier.
• D. None of the above

Answer 1

The correct option is A Mode with outlier is different from mode without outlier.

Mode is the most frequently occurring value in the given data set.

Arrange the given data set in ascending order and observe the values which occur most frequently.


Since there are two values which occur most frequently, therefore the given data is bimodal with values $25$ and $40$.

The outlier is that value of the given set which is very different from the rest of the values in the data set.

All the values in the data set lies between the range of $22$ and $29$, except the value $40$ which is larger than the given range of values. Therefore, the outlier of given data is $40$.

The mode with outlier is $25$ and $40$, while the mode without outlier is $25$.

Hence, for the given data set, the mode with outlier is different from the mode without outlier.