Question

christy surveyed several students at her school and asked each person what foreign language he or she is studying. the results are shown in the table.

	male	female	total
french	16	12	28
german	6	8	14
total	40	40	80

a. construct a relative - frequency table by converting the data in the table to percentages. round to the nearest tenth if necessary.

b. find the joint relative frequency of a female student who is studying french.

c. make two observations.

Explanation:

Step1: Calculate relative - frequencies for part a

To find the relative frequency, divide each cell value by the grand - total (80) and multiply by 100.
For example, for male Spanish students: $\frac{18}{80}\times100 = 22.5\%$.

Step2: Find joint relative frequency for part b

The number of female students studying French is 12. The joint relative frequency is $\frac{12}{80}\times100=15\%$.

Step3: Make observations

Observation 1: The percentage of female students studying Spanish (25%) is higher than the percentage of male students studying Spanish (22.5%).
Observation 2: The total percentage of students studying German (17.5%) is the lowest among the three languages.

Answer:

a.

	Male	Female	Total
French	20%	15%	35%
German	7.5%	10%	17.5%
Total	50%	50%	100%

b. 15%
c. Observation 1: The percentage of female students studying Spanish is higher than that of male students studying Spanish. Observation 2: The total percentage of students studying German is the lowest among the three languages.