Question

A group of 300 middle school students were asked whether they prefer playing video games or watching TV in their spare

time. The genders of the students and their responses are reported in the following table.
Playing video
Watching TV
games
Girls
45
108
Boys
84
63
(a) What percentage of the students prefer playing video games?
(b) What percentage of the students are boys?
X 5 ?
(a) [%
(b) 1%

Answer 1

total num playing video games/total no of studen×100

a) 43%

b) 49%

Answer 2

(a) 43%

(b) 49%

Explanation:

Add a total column and a total row to the table:

`\begin{tabular} c \cline{1-4} & Playing video games & Watching TV & Total\\\cline{1-4} Girls & 45 & 108 & 153\\\cline{1-4} Boys & 84 & 63 & 147\\\cline{1-4} Total & 129 & 171 & 300\\\cline{1-4}\end{tabular}`

Part (a)

Percentage of students who prefer video games:

`=\frac{\textsf{total no. of students who play video games}}{\textsf{total no. of students}} * \sf 100\%`

`=\sf (129)/(300) * 100 \%`

`= \sf 43 \%`

Part (b)

Percentage of students who are boys:

`=\frac{\textsf{total no. of students who are boys}}{\textsf{total no. of students}} * \sf 100\%`

`=\sf (147)/(300) * 100 \%`

`= \sf 49 \%`