Students from two age groups were surveyed to see how they travel to school. here are the results:

below age 15—walk or bike: 87; bus: 60; car: 18
age 15 and above—walk or bike: 65; bus: 50; car: 80

which of the following is a correct two-way relative frequency table for the data?

The table representing the number of students by which mode of transport they travel is given as:

                              Walk or bike    Bus       Car     Row Total

Below age 15            87                    60        18           165

Age 15 and above   65                    50        80         195

Column Total            152                  110        98         360

We know that a relative frequency of an event is the ratio of frequency to the total number of trials.

i..e we divide each frequencies by 360 to obtain a two-way relative frequency.

Hence,the table is given as:

                              Walk or bike    Bus       Car     Row Total

Below age 15            0.24               0.17      0.05         0.46

Age 15 and above    0.18                0.14      0.22        0.54

Column Total             0.42               0.31     0.27          1                        

Options:

A. Method of Travel to School

Walk/BikeBusCarRow totals

Below age 15876018165

Age 15 and above655080195

Column totals15211098360

B. Method of Travel to School

Walk/BikeBusCarRow totals

Below age 150.240.170.050.46

Age 15 and above0.180.140.220.54

Column totals0.420.310.271

C. Method of Travel to School

Walk/BikeBusCarRow totals

Below age 150.520.360.111

Age 15 and above0.330.260.411

Column totals0.420.310.271

D. Method of Travel to School

Walk/BikeBusCarRow totals

Below age 150.570.550.180.46

Age 15 and above0.430.450.820.54

Column totals1111

The answer is option B as you can see this two way frequency table has the same data as in the question.

Hope this helps!