Question

Male and female students were surveyed about dancing and playing sports. They had the following preferences:

Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Male students 0.25 0.27 0.52
Female students 0.17 0.31 0.48
Column totals 0.42 0.58 1


Which of the following is a two-way conditional relative frequency table for gender?

Do you prefer dancing or playing sports?
Playing sports Dancing
Male students 0.60 0.47
Female students 0.40 0.53
Column totals 1 1

Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Male students 0.48 0.52 1
Female students 0.35 0.65 1

Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Male students 25% 27% 52%
Female students 17% 31% 48%
Column totals 42% 58% 100%

Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Male students 50 54 104
Female students 34 62 96
Column totals 84 116 200

Answer 1

The option that shows a two-way conditional frequency table is option B as shown in the image attached.

What is a two-way conditional frequency table?

A two-way conditional frequency table is a type of table that shows the frequency determined by two variables. In this case, the variables are:

• Gender.
• Preferred activity.

Moreover, this table uses numbers from 0 to 1 to express frequency rather than percentages or numbers of people.

Which option is correct?

The correct option is option B because it meets the following requirements:

• It displays the two variables: gender and preferred activities.
• It uses frequency values such as 0.48 rather than percentages or the number of people, which would be incorrect.

• The row totals are displayed in a third column than in a new row.