Question

These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville

Answer 1

Answer:

 The question is not complete. Attached to this answer is the diagram of the box plot and the complete question:

These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville

Based on the data on the two box plots, which statement about the difference in the medians of the two data sets is true?

The correct answer is:

The difference is about $\frac{1}{2}$ times the range of the data shown for Johnstown,and about $\frac{3}{8}$ times the range of data for Martinville. (D)

Step-by-step explanation:

From the box plot, it is seen that the following data can be gotten:

Cities                          Range                                    Midian (mid-point)

Johnston                  140 - 80 = 60                                  110

Martinville                 120 - 40 = 80                                  80

Difference in medians = 110 - 80 = 30

now comparing the difference between the median and the ranges of each city, we observe that:

range for Johnston = 60 ; median difference = 30

hence difference in medians : range for Johnston = 30 : 60 = 1 : 2 = 1/2

hence difference of medians is $\frac{1}{2}$ times the range of Johnston.

Difference of midians : range of Martinville = 30 : 80 = 3 : 8 = 3/8

hence the difference of medians is $\frac{3}{8}$ times the range of Martinville.