Two-Way Frequency Tables / Alg 1

Algebra 1 Practice for Marginal and Relative Frequency

The following table shows the gender of a high school student and their most important goal while in high school.

GRADES / POPULAR / SPORTS / TOTAL
BOY / 117 / 50 / 60 / 227
GIRL / 130 / 91 / 30 / 251
247 / 141 / 90 / 478

If a student is chosen at random, what is the relative frequency (round to nearest hundredth):

1)  The person chosen is a girl whose goal is to be popular?

2)  The person chosen has a goal of grades?

3)  You know the person chosen has a priority of sports. What is the probability that person is male?

4)  The person chosen does not have popularity as their most important goal?

5)  The person’s most important goal is grades, given that a girl is chosen?

Algebra 1 Practice for Marginal and Relative Frequency KEY

The following table shows the gender of a high school student and their most important goal while in high school.

GRADES / POPULAR / SPORTS / TOTAL
BOY / 117 / 50 / 60 / 227
GIRL / 130 / 91 / 30 / 251
247 / 141 / 90 / 478

If a student is chosen at random, what is the relative frequency of:

1)  The person chosen is a girl whose goal is to be popular?

130/478 = .27

2)  The person chosen has a goal of grades?

247/478 = .52

3)  You know the person chosen has a priority of sports. What is the probability that person is male?

60/90 = .67

4)  The person chosen does not have popularity as their most important goal?

337/478 = .71

5)  The person’s most important goal is grades, given that a girl is chosen?

130/251 = .52