Answer:
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%.
Step-by-step explanation:
The table is given as:
Playing sports Dancing Row totals
Male students 18 16 34
Female students 18 35 53
Column totals 36 51 87
- We know that the joint relative frequency of an outcome is calculated as dividing the frequency of the outcome by the grand total.
Hence, when we divide the frequency of the female students who prefer playing sports i.e. 18 by the grand total i.e. 87 ; we obtain:
18/87=0.20689
which is approximately equal to 21%.
- Hence, in order to calculate the conditional relative frequencies she should have divided the required frequency by the row total;.
Hence, here we divide the frequency of the female students who prefer playing sports i.e. 18 by the row total i.e. 53 ; we obtain:
18/53-0.3396
which is approximately equal to 34%.
Hence, option: D is correct.
