Impact of Outlier on Mode

Q. Given below is the data set for the number of states visited by the students.


Mode with outlier $-$ Mode without outlier $=$ .

1. $1$
2. $-1$
3. $0$

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


How does mode vary in the absence of outlier?

1. The mode will increase.
2. The mode will decrease.
3. The mode will remain same.
4. The data will have no mode.

Q. In the dataset $:1,0,1,5,6,3,4,15,15$.
Mode with outlier is mode without outlier.

1. same as
2. different from
3. smaller than

Q. Assume that a data set consists of only one outlier. If the outlier is removed, then which of the following measures of central tendency remains the same?

1. Mean
2. Mode
3. Median
4. None of the above

Q. Consider, a data set contains only one outlier. Then the mode of the data set with and without outlier must be the same.

1. False
2. True

Q. Smith went to an icecream parlour. He noticed that all the icecream flavours are within the range of $\$4$ of one another, except one flavour which is quite expensive than the rest. Which measure of central tendency will be most affected by that expensive flavour?

1. Only mode
2. Only mean
3. Both mode and mean
4. Neither mode nor mean

Q. The following data represents the marks scored by Mathew in different subjects.


What will be the outlier and its mode without outlier?

1. $29;11$
2. $11;28$
3. $11;26$
4. $28;29$

Q. 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.

1. Mode with outlier is different from mode without outlier.
2. Mode with outlier is mode without outlier.
3. Mode with outlier is smaller than mode without outlier.
4. None of the above