Answer:
A. There is one outlier that indicates an unusually large number of players on that team.
Step-by-step explanation:
We have been given a data set that the number of players on each softball team in a tournament.
9, 12, 8, 7, 7, 21, 11, 9, 8, 7, 10, 7, 10, 11.
Let us arrange our data points from least to greatest.
7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 21.
We can see from our given data that all other data points are 1 far from their preceding data points except 21. 21 is 9 values far from its preceding term (21-12=9).
We can also use IQR rule for outliers.
[tex]\text{Median}=\frac{\text{7th term+8th term}}{2}[/tex]
[tex]\text{Median}=\frac{9+9}{2}=\frac{18}{2}=9[/tex]
[tex]Q_1=7[/tex]
[tex]Q_3=11[/tex]
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=11-7=4[/tex]
IQR rule for outliers is: [tex]Q_1-1.5\times IQR[/tex] and [tex]Q_3+1.5\times IQR[/tex].
Let us check for outliers using above formula.
[tex]7-1.5\times 4[/tex]
[tex]7-6=1[/tex]
Any number less than 1 will be extreme small outlier. We can see from our given data set that 7 is the smallest number of players on team, so our data set have no small value outlier.
[tex]11+1.5\times 4[/tex]
[tex]11+6=17[/tex]
Any number greater than 17 will be a large value outlier. We can see from our given data set that 21 is 4 more than 17. Hence, 21 is a large value outlier.
Therefore, the outlier for our given data set is 21 that indicates that one team has unusually large number of players and option A is the correct choice.
An outlier is an observation that lies distance from the other sample value in the given data set.
That is an outlier. It is an unusually large number of players.
There is one outlier that indicates an unusually large number of players on that team.
An outlier is an observation that lies distance from the other sample value in the given data set.
Given
The data set below shows the number of players on each softball team in a tournament:
9 12 8 7 7 21 11 9 8 7 10 7 10 11
Here, we are given the number of players on each softball team in a tournament:
9 12 8 7 7 21 11 9 8 7 10 7 10 11
We observe that all the data values are closely related except 21.
which is a high value as compared to other data values.
This means that one of the teams has an unusually larger number of players as compared to other teams.
In the data set given, most of the values are around 8 to 12 players on the team. However, one team has 21.
That is an outlier. It is an unusually large number of players.
Hence, there is one outlier that indicates an unusually large number of players on that team.
To know more about Outlier click the link given below.
brainly.com/question/9933184
