Question

A group of 7th and 8th graders were asked if they like playing tennis. This two-way frequency table shows the proportion of students from each grades that like or do not like playing tennis.

Answer 1

Here you go...

Answer 2

Correct choices are C and D

Explanation:

A group of 7th and 8th graders were asked if they like playing tennis. The following table shows the percentage (based on given table) of students from each grades that like or do not like playing tennis:

`\begin{array}{ccc}&\text{Like playing tennis}&\text{do not like playing tennis}\\\text{7th grade}&42\%&58\%\\\text{8th grade}&47\%&53\%\end{array}`

Conclusions:

1. For both grades, more students do not like playing tennis, because 58%>42% and 53%>47%. Thus, option A is false.

2. Among the 7th grade students 42% like playing tennis and 58% do not like playing tennis, then more students do not like playing tennis. Thus, option B is false.

3. In 7th grade 42% like playing tennis and in 8th grade 47% like playing tennis. Hene, a smaller percentage of the 7th graders like playing tennis than of the 8th graders. Option C is true.

4. 53% of the 8th graders do not like plaing tennis and 43% like. Thus, the percentage of those who do not like is larger than the percentage of those who like and this option is true.