Question

Which statement is the most appropriate comparison of the spread

Answer 1

Answer:

Option: B is the correct answer.

The interquartile range (IQR) for the Bulldogs,20, is less than the IQR for the Tigers, 25.

Step-by-step explanation:

From the box whisker plot we have the following information:

Bulldogs:

• Minimum value is: 55

• Maximum value: 105

• Range=Maximum value-Minimum value

         Range=105-55=50

• First quartile i.e. $Q_1$ is: 70

• Median or middle quartile i.e. $Q_2$ is: 80

• Third quartile i.e. $Q_3$ is: 90

• Interquartile Range is:

                   $Q_3-Q_1\\\\=90-70\\\\=20$

                     Hence, IQR=20

Tigers:

• Minimum value is: 55

• Maximum value: 110

• Range=Maximum value-Minimum value

           Range=110-55=55

• First quartile i.e. $Q_1$ is: 60

• Median or middle quartile i.e. $Q_2$ is: 65

• Third quartile i.e. $Q_3$ is: 85

• Interquartile Range is:

    $Q_3-Q_1\\\\=85-60\\\\=25$

                            Hence, IQR=25

Hence,

1) The range of Bulldogs, 50 is less than the range of Tigers which is 55.

2)The IQR of Bulldogs , 20, is less than the IQR of Tigers, 25.

3) The median of Bulldogs, 80 is more than the median of the tigers which is,65

As we know that the spread is best predicted by the IQR.

Hence, the statement that most appropriately compare the spread is:

The IQR of Bulldogs , 20, is less than the IQR of Tigers, 25.

Answer 2

D. I belive hope this helps