Question

21 The number of students in each of 2 exercise classes was the same. The box and whiskerplots below represent the average amount of time the students in each class spent exercisingdaily outside class.First class九术也Second class A+153012010545 6075 90Time Spent Exercising(minutes)Based on the information in the box and whisker plots, which statement about the time spentexercising outside class appears to be true?A The median amount of time the first class spent exercising was greater than the medianamount of time the second class spent exercising.B The range for the second class was less than the range for the first class.C The interquartile range for the first class was less than the interquartile range for thesecond class.D The minimum amount of time the second class spent exercising was greater than theminimum amount of time the first class spent exercising.

Answer 1

We are given a box and whiskers plot and we are asked the following questions:

A. The median amount of time the first class spent exercising was greater than the median amount of time the second class spent exercising.

The median of the first class is 60 and the median of the second class is 75, therefore, the median of the second class is greater than the median of the first class.

B. The range for the second class was less than the range for the first class.

The range of the first class is:

`r_1=90-30=60`

The range of the second class is:

`r_2=105-30=75`

Therefore, the rage of the second class is greater than the range of the first class.

C. The interquartile range for the first class was less than the interquartile range for the

second class.

The Interquartile range of the first class is:

`IQ_1=75-45=30`

The interquartile range of the second class is:

`IQ_2=90-45=45`

Therefore, the interquartile range of the first class is less than the interquartile range of the second class.

D The minimum amount of time the second class spent exercising was greater than the minimum amount of time the first class spent exercising.

The minimum time for the first class is 30 and the minimum time for the second class is 30, therefore, the minimum times are equal.