Introduction to an Outlier

Q.

The marks (out of $25$) of $10$ students are as follows :

$21,20,13,15,10,16,17,14,20,18$

Find the range, mean and median of the data.

Q.

How is mode calculated if all numbers in a set are different?

Q. Kattie's scores on her first six biology tests were:
55, 88, 89, 92, 95, and 98.
Identify the outlier in her scores.

1. 98
2. 55
3. 92
4. 88

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


What is the median without outlier?

1. 3

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



$\text{Mode without outlier}=$

Q. Find out the outliers in the given dataset : $27,321,463,571,692,784,2623$

1. 27 and 2623
2. 571 and 692
3. No Outliers in the data set
4. 321 and 463

Q. Given below is the plot of quantity (in hundreds) produced by different companies of a certain products.


Analyze the bar graph. Does this data set have an outlier? Find out the outlier (if any).

1. No.
2. Yes. Quantity produced by company D.
3. Yes. Quantity produced by company D.
4. Cannot be determined

Q. If outlier is removed from the data set $2,3,7,9,6,30$.
The mean of the dataset .

1. will increase
2. will decrease
3. will be same

Q. Does the following data set have an outlier?

1. Yes.
2. No.
3. Can't be determined.

Q. Medals won by the U.S. in Winter Math Olympics are as follows:


Identify the outlier corresponding to the number of medals won in different years.

1. 9
2. 26
3. (a) and (b) above.
4. None of the above

Q. Following is the data set for the number of states visited by students:

Outlier of the data set =

$\text{Mean without outlier}=$

Q. Help Mark pick the outlier among the list of coffees.

1. Frappuccino
2. Espresso
3. Americano
4. Cappuccino

Q. Consider the data set: $6,4,5,9,4,8,2,4,20$
Median of the data set without outlier is

1. 4.5
2. 4
3. 3.5

Q. Given data set: 100, 103, 98, 34, 99, 101, 103, 97, 105

Which of the following statements is true regarding this data?

1. The value 34 is the outlier.
2. The value 105 is the outlier.
3. Multiple outliers exist.
4. No outliers exist.

Q. In the dataset $:2,1,2,6,7,4,5,16$.
Mode with outlier is the mode without outlier.

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