Question

Consider the following data which represents the hourly wages of workers at a factory.


How does mode vary in the absence of outlier?

• A. The mode will increase.
• B. The mode will decrease.
• C. The mode will remain same.
• D. The data will have no mode.

Answer 1

The correct option is C The mode will remain same.

The outlier is that value which is quite different from the rest of the values in the given data. Thus, the outlier of given set is $\$30.00$.

Further, the mode is that value which occurs most frequently in the given data set.

Arrange the given data set in ascending order to observe the mode.


Thus, the mode with outlier is $\$7.25$.

Now, consider the data without outlier and observe the mode.


Thus, the mode without outlier is also $\$7.25$.

Hence, the mode with outlier is same as mode without outlier for the given data set.