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.
IQR rule for outliers is: and .
Let us check for outliers using above formula.
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.
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.