Question

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


Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Male students 18 16 34
Female students 18 35 53
Column totals 36 51 87


Mason mistakenly calculated the conditional relative frequency for female students who prefer playing sports to be 21%. What statistic did Mason actually calculate, and what should he have done differently?

Answer 1

The conditional relative frequency for female students who prefer playing sports is 34%.

How to determine the statistic calculated?

The table of values is given as:

                        Sports   Dancing Row totals

Male students      18             16        34

Female students  18             35       53

Column totals       36            51         87

Mason's calculation is given as:

P = 21%

This is gotten by

18/87 = 21%

The above represents the joint relative frequency of female students who prefer playing sports.

To calculate the conditional relative frequency, he should divide 18 by the row total.

So, we have

18/53 = 34%

Hence, the conditional relative frequency for female students who prefer playing sports is 34%.

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