Question

The following two-way table shows the data for the students of two different grades in a school:

Answer 1

There are 18 students in Grade 7, 10 are in band, so 10/18 = 0.56 are in band.

There are 12 students in Grade 8, 10 are in band, so 10/12 = 0.83 are in band.

Students in Grade 8 are more likely to be members of the band.

Answer 2

Answer:

Based on the relative row frequency, the students of Grade 8 are more likely to be members of the school band.

Step-by-step explanation:

The relative row frequency is obtained by dividing each entry of by the corresponding row total.

i.e. the first row is obtained by dividing each entry of the first row by the row total.

Similar process holds for second row and third row.

Here on obtaining the  relative row frequency we have:

The relative row frequency that a Grade 7 student like to be a member of school band= 0.56

and the relative row frequency that a Grade 8 student like to be a member of school band= 0.83

          Since,   0.83>0.56

Hence, we have:

Grade 8 student is likely to be a member of school band.