PLEASE HELP!!!!! The data set below shows the number of homework assignments required in math classes for a month: 222323211841715232024152516Which of the following statements is true based on the data set? There is one outlier that indicates an unusually large number of assignments required in that class. There is one outlier that indicates an unusually small number of assignments required in that class. There are two outliers that indicate an unusually large number of assignments required in those two classes. There are two outliers that indicate an unusually small number of assignments required in those two classes.

Answer:The correct option is 2.Step-by-step explanation:The given data set is22, 23, 23, 21, 18, 4, 17, 15, 23, 20, 24, 15, 25, 16Arrange the data is ascending order.4, 15, 15, 16, 17, 18, 20, 21, 22, 23, 23, 23, 24, 25Divide the data in 4 equal parts.(4, 15, 15), 16, (17, 18, 20), (21, 22, 23), 23, (23, 24, 25)Now, we can say that[tex]Q_1=16[/tex][tex]Q_3=23[/tex]The interquartile range of the data set is[tex]IQR=Q_3-Q_1=23-16=7[/tex]If the data lie in the interval [tex][Q_1-1.5(IQR),Q_3+1.5(IQR)][/tex], then the data set has not outliers.[tex][Q_1-1.5(IQR),Q_3+1.5(IQR)]=[16-1.5(7),23+1.5(7)]\Rightarrow [5.5,33.5][/tex]All the data lie in the interval [5.5,33.5] except 4. So, 4 is an outlier of the given data.There is one outlier that indicates an unusually small number of assignments required in that class. Therefore the correct option is 2.