Question

statistics and relative frequency
the survey
some students were surveyed to find their favorite after - school activity. the results of the survey are shown here.

• 18 girls and 9 boys said playing sports was their favorite activity.
• 9 girls and 2 boys said reading was their favorite activity.
• 13 girls and 9 boys said hanging out with friends was their favorite activity.

(b) complete the relative frequency table to show what percent of each activity choice was chosen by boys and what percent by girls. round each value to the nearest whole percent.
relative frequencies by activity
friends sports reading
% boys % %
% girls % %
total 100 % 100 % 100 %

Explanation:

Step1: Calculate total number of students

First, find the total number of students surveyed. Add up the number of students for each activity - preference combination: $(18 + 9)+(9+2)+(13 + 9)=18+9+9+2+13+9 = 60$ students.

Step2: Calculate relative - frequencies for sports

For sports, the number of girls is 18 and the number of boys is 9.
The percentage of girls who chose sports is $\frac{18}{60}\times100\%=30\%$.
The percentage of boys who chose sports is $\frac{9}{60}\times100\% = 15\%$.

Step3: Calculate relative - frequencies for reading

For reading, the number of girls is 9 and the number of boys is 2.
The percentage of girls who chose reading is $\frac{9}{60}\times100\%=15\%$.
The percentage of boys who chose reading is $\frac{2}{60}\times100\%\approx3\%$.

Step4: Calculate relative - frequencies for hanging out with friends

For hanging out with friends, the number of girls is 13 and the number of boys is 9.
The percentage of girls who chose hanging out with friends is $\frac{13}{60}\times100\%\approx22\%$.
The percentage of boys who chose hanging out with friends is $\frac{9}{60}\times100\% = 15\%$.

Activity	% Girls	% Boys
Reading	15%	3%
Friends	22%	15%

Answer:

Activity	% Girls	% Boys
Reading	15%	3%
Friends	22%	15%