Question

The table shows preferences of dancing or playing sports for male and female students.

Answer 1

He calculated the joint relative frequency of female students who prefer playing sports. The conditional relative frequency for female students who prefer playing sports is 34%.

Answer 2

Answer:

Female students        Playing sports=18          Dancing=35         Total= 53

As, it is given that ,Conditional relative frequency for female students who prefer playing sports to be 21%.

It is Wrong value.

Joint Relative frequency for female students who prefer playing sports

$\frac{\text{ Playing sports}}{\text{Total Female}}\\\\=\frac{18}{87}\times 100=21$

Conditional relative frequency $=\frac {\text{Joint relative frequency}} {\text{Related marginal relative frequency.}}$

Related marginal relative frequency $=\frac{\text{Total female who play sports or dance}}{\text{Total student}}\\\\=\frac{53}{87}$

Conditional relative frequency  $=\frac{18}{87}$=34% (approx)

Option D:He calculated the joint relative frequency of female students who prefer playing sports. The conditional relative frequency for female students who prefer playing sports is 34%.