The two-way table shows the results of a survey about high school students' music preferences. which graph correctly displays the relative frequencies of the three types of music shown in the two-way table?

We are given a two-way table that represents the frequency of three types of music.

Hence, the relative frequency table is given by:

                         Female             Male                Total

Country               145/1015         106/1015            251/1015

Rap                     158/1015         240/1015           398/1015

Rock                    214/1015          152/1015            366/1015  

Total                    517/1015           498/1015           1015/1015

                            Female             Male                Total

Country              0.143                 0.104                0.247

Rap                     0.155                0.237                0.392

Rock                    0.211                 0.150                 0.361

Total                   0.509                 0.491                   1

Hence, clearly we could see that the relative frequency of the music country is much low as compared to that of Rock and rap.

Hence, there is a much difference between the bar of Country as compared to Rock and rap.

and there is a low difference between the bar of rock and rap.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction