Outlier

Q. The value in a data set that is different from all other values of the data set is called .

Q.

If the data for calculating the mean is increased by twice its value, does the mean change ? Explain.

Q. In the given dataset : $31,312,442,565,652,742,2501,$ outliers are and

1. $31$
2. $2501$
3. $742$
4. $312$
5. $442$
6. $565$

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

1. $19$
2. $0$
3. $6$

Q. The following temperatures of Math City were recorded (in ${}^{\circ }F$) each day for two weeks:
Data:$82,75,84,75,79,78,83,73,50,79,80,78,83,81$
The outlier in the given dataset is

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. $24$

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


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

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. If outlier is removed from the data set $50,55,55,60,62,105$.
The mean of the dataset

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

Q. The data below represents the number of quilts manufactured by a factory in different months.


Identify the outlier of this data set.

1. $39$
2. $9$
3. $36$
4. $7$

Q. The information on sales of pizza in two branches of cafetaria ABC is given. The average sales of shop 2 is more than shop1.

1. 4
2. 5
3. 7

Q. With reference to the impact of outlier on mean, which of the following option is correct?

1. The value of mean remains unaffected with or without outlier.
2. The presence of outlier may increase or decrease the value of mean.
3. The presence of outlier in the data set always increases its mean.
4. None of the above.

Q. Adam played $7$ games and recorded the data of his scores as follows:


What is the difference between the mean in the presence and absence of outlier?

1. $12.8$
2. $-2.7$
3. $-6.2$
4. $93$