Sangeetha Pulapaka
1

The people who do not play a sport and play an instrument are 12.

The people who do not play a sport and do not play an instrument are 12,

The total number of people who play a sport are 13.

The total number of people who do not play an instrument are 14.

The below is the two-way table with the values given.

Now we fill up this two-way table

STEP 1  The total number of people who do not play sport are 12 + 12 = 24.

STEP 2 ; The total number of people who took part in this were 24 + 13 = 37.

STEP 3: The number of people who play an instrument are 37 - 14 = 23

STEP 4 : The number of people who play a sport and play an instrument are 23 - 12 = 11.

STEP 5: The number of people who play a sport and do not play an instrument are 14 - 12 = 2.

The above is the completed two-way frequency table. If you want to find the column relative frequency, this is how you go about it. Divide each value in the cell in each column with the respective column total to get the table as shown below,