Outliers

Q. Does an outlier affect the line of best fit? Answer in Yes/No.

Q. The following temperatures were recorded (in ${}^{o}F$) on each day for two weeks.

$82$	$73$	$83$	$75$	$80$	$78$	$82$
$73$	$50$	$79$	$80$	$78$	$83$	$105$

The sum of outliers in the given dataset is .

Q. An annual function was held at a school. The following data represents the number of participants in different items.


What will be the mean of this data without an outlier?

1. $24$
2. $23.16$
3. $25$
4. $19.8$

Q. The outlier(s) of the following data set is(are) .

$312$

$442$

$565$

$652$

$742$

$2501$

$2502$

1. $652\&2501$
2. $2501\&2502$
3. Only $2501$
4. Only $2502$

Q. A set of $6$ numbers is represented as follow:


If $96$ is added to this set of numbers, then what will the impact of this new number on mean?

1. The mean will decrease.
2. The mean will remain the same.
3. The mean will increase.
4. Cannot be determined

Q. A manufacturing company finds out the number of defective calculators in each of the last $10$ batches of $100$ calculators.


The mean number of defective calculators with outlier is and without outlier is .

Q.
The cups of hot chocolate consumed by $6$ owls are given as:

If Alex's consumption is ignored, then which of the following statement will be correct?

1. Median of the number of cups of hot chocolate consumed will increase.
   
2. Mode of the number of cups of hot chocolate consumed will remain the same.
3. Mean of the number of cups of hot chocolate consumed will increase.

Q. The outliers are removed from the following data set.

$10$

$50$

$55$

$55$

$60$

$62$

$105$

Which of the following options is true for the mean of the data set after removing the outliers?

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

Q. Speeds of various transport modes are noted and tabulated. Determine the outlier mode of transport based on the speed.

1. Bike
2. Car
3. Bus
4. Flight

Q. A manufacturing company finds out the number of defective calculators in each of the last $10$ batches of $100$ calculators.


Which measure of central tendency is least impacted with or without the outlier?

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

Q. If an outlier is included, median value of the dataset will definitely increase.

1. True
2. False

Q. If $20$ is included in the data set $\{50,56,56,58,62\}$,
the mean of the dataset .

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

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


$\text{Mean with outlier}-\text{Mean without outlier}=$

Q. The value in a data set that is quite different from the remaining values of the data set is known as .

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. $26$
2. $9$
3. $23$
4. $24$