Impact on Median

Q.

What is the difference between the mean, median, and mode?

Q.

Why is the mean, but not median nor mode, affected by the outliers in a data-set?

Q. Jack's scores in different games is represented as follows:


Find the impact of outlier on the median and mode of this data.

1. Mode remains same, while median decreases in the absence of outlier.
2. Both mode and median increases in the absence of outlier.
3. Median remains same, while mode decreases in the presence of outlier.
4. Both mode and median remains same in the presence of outlier.

Q. John's Science book has $10$ chapters. The number of pages in each of the $10$ chapters are $25,11,9,18,21,24,16,13,30,12$. If two new chapters with $60$ and $65$ pages are added in the book, what would be the effect on median of the dataset?

1. Median will increase.
2. Median will decrease.
3. Median will be same.
4. Cannot be determined

Q. Choose whether the given statement is true or false.

"The presence of outlier in the data always changes its median."

1. True
2. False

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


What is the difference between median with outlier and median without outlier?

1. $3$
2. $2$
3. $1$
4. $0$

Q. Jack's scores in $5$ quizzes are given as $57,63,55,61$, and $62$. If he scored $39$ in his sixth quiz, what will be the effect of his last score?

1. The mean will increase due to the addition of low score.
2. The median will decrease due to the addition of low score.
3. The median will increase due to the addition of low score.
4. The mean will decrease due to the addition of low score.

Q. The difference between the median of the numbers $7,5,4,8,9,25$ with and without outlier is .

Q. The number of tourists visiting the museum on different days of the week is depicted as follows:


Find the outlier and the median of this data without outlier.

1. $66;71$
2. $99;69.5$
3. $99;70$
4. $70;99$