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A school conducted a survey to find out which games students enjoy watching the most. The table below contains the results of the survey.

\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline Grade & Basketball & Baseball & Football & Soccer & Tennis & Other & Marginal Totals \\
\hline Elementary School & 51 & 18 & 26 & 32 & 4 & 6 & 137 \\
\hline Middle School & 50 & 24 & 44 & 34 & 7 & 18 & 177 \\
\hline \begin{tabular}{c}
High \\
School
\end{tabular} & 42 & 17 & 58 & 36 & 11 & 24 & 188 \\
\hline Marginal Totals & 143 & 59 & 128 & 102 & 22 & 48 & 502 \\
\hline
\end{tabular}

Which observation is supported by the data in the table?

A. Tennis is most popular among elementary school students.
B. Baseball is most popular among students in all grades.
C. Football is most popular among high school students.
D. Soccer is most popular among middle school students.



Answer :

GinnyAnswer
Let's analyze the observations one by one using the data from the table provided to determine which one is supported by the data.

First, let's summarize the most popular games in each grade:

1. Elementary School:
- Basketball: 51
- Baseball: 18
- Football: 26
- Soccer: 32
- Tennis: 4
- Other: 6

The most popular game among elementary school students is Basketball with 51 votes.

2. Middle School:
- Basketball: 50
- Baseball: 24
- Football: 44
- Soccer: 34
- Tennis: 7
- Other: 18

The most popular game among middle school students is Basketball with 50 votes.

3. High School:
- Basketball: 42
- Baseball: 17
- Football: 58
- Soccer: 36
- Tennis: 11
- Other: 24

The most popular game among high school students is Football with 58 votes.

Next, let's examine each observation:

A. Tennis is most popular among elementary school students.
- From the data, Tennis has 4 votes among elementary school students. The most popular game in elementary school is Basketball with 51 votes, not Tennis.
- This observation is not supported by the data.

B. Baseball is most popular among students in all grades.
- Total votes for Baseball: 59.
- Comparing this to the total number of votes for other games:
- Basketball: 143
- Football: 128
- Soccer: 102
- Tennis: 22
- Other: 48
- Baseball is not the most popular game overall, Basketball has the highest total votes.
- This observation is not supported by the data.

C. Football is most popular among high school students.
- From the data, Football has 58 votes among high school students, which is indeed the highest number of votes for any game in high school.
- This observation is supported by the data.

D. Soccer is most popular among middle school students.
- From the data, Soccer has 34 votes among middle school students. The most popular game in middle school is actually Basketball with 50 votes.
- This observation is not supported by the data.

Hence, the correct observation that is supported by the data in the table is:

C. Football is most popular among high school students.

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