Impact on Mode

Q. In the following dataset, mode with outlier is , and mode without outlier is .

$1$

$0$

$1$

$5$

$6$

$3$

$4$

$15$

$15$

1. $1$
2. $15$
3. $1\text{or}15$
4. $1\text{and}15$

Q. Does the outlier of the given data change its mode?

1. yes
2. no

Q. With respect to the impact of outlier on the measures of central tendency, choose the correct options.

1. Mode of the data set may remain unaffected in the presence of outlier.
2. Mean of the data set always changes in the presence of outlier.
3. Mean with outlier is mean without outlier.
4. Mode of the data set may vary in the absence of outlier.

Q. Consider the following data which represents the height of some towers in an area:

Select the correct statement(s) for the above data.

1. The outlier is $22$
2. The outlier is $35$
3. The mode with outlier is $22$
4. The mode with outlier is $35$