Question

PLEASE HELP!!!!! The data set below shows the number of homework assignments required in math classes for a month:

Answer 1

There is one outlier that indicates an unusually small number of assignments required in that class

Answer 2

Answer:

The correct option is 2.

Step-by-step explanation:

The given data set is

22, 23, 23, 21, 18, 4, 17, 15, 23, 20, 24, 15, 25, 16

Arrange the data is ascending order.

4, 15, 15, 16, 17, 18, 20, 21, 22, 23, 23, 23, 24, 25

Divide 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

$Q_1=16$

$Q_3=23$

The interquartile range of the data set is

$IQR=Q_3-Q_1=23-16=7$

If the data lie in the interval $[Q_1-1.5(IQR),Q_3+1.5(IQR)]$, then the data set has not outliers.

$[Q_1-1.5(IQR),Q_3+1.5(IQR)]=[16-1.5(7),23+1.5(7)]\Rightarrow [5.5,33.5]$

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.