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.