martinezadam576
Answered

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A survey is given to video game players about their expertise in a certain game.
- There were 150 females surveyed, evenly divided for all levels of expertise.
- There were 450 males surveyed.
- There were 80 expert players and 180 novice players.

Complete the table for this situation.
\begin{tabular}{|c|c|c|c|c|}
\hline
\multirow{2}{}{Expertise Level} & \multicolumn{2}{|c|}{Gender} & \multirow{2}{}{Total} \\
\cline{2-3}
& Male & Female & \\
\hline
Novice & \checkmark & 50 & 180 \\
\hline
Average & \checkmark & 50 & \checkmark \\
\hline
Expert & 30 & \checkmark & 80 \\
\hline
Total & 450 & 150 & 600 \\
\hline
\end{tabular}

Sagot :

GinnyAnswer
Let's fill out the table step-by-step based on the given information:

1. Novice Players:
- Total novice players: 180
- Females among novice players: 50
- Therefore, males among novice players: 180 - 50 = 130

So, the number of novice male players should be 130.

2. Expert Players:
- Total expert players: 80
- Males among expert players: 30
- Therefore, females among expert players: 80 - 30 = 50

So, the number of expert female players should be 50.

3. Average Players:
- Total females surveyed: 150
- Females novice players: 50
- Females expert players: 50
- Therefore, average female players: 150 - 50 - 50 = 50

- Total males surveyed: 450
- Males novice players: 130
- Males expert players: 30
- Therefore, average male players: 450 - 130 - 30 = 290

- Total average players: 290 (males) + 50 (females) = 340

So, the number of average male players should be 290, the number of average female players should be 50, and the total average players should be 340.

Now, we can update the table with the missing values correctly:

[tex]\[ \begin{array}{|c|c|c|c|c|} \hline & & \multicolumn{2}{|c|}{\text{Gender}} & \text{Total} \\ \hline & & \text{Male} & \text{Female} & \\ \hline \text{Novice} & 130 & 50 & 180 \\ \hline \text{Average} & 290 & 50 & 340 \\ \hline \text{Expert} & 30 & 50 & 80 \\ \hline \text{Total} & 450 & 150 & 600 \\ \hline \end{array} \][/tex]

So, the completed table should look like this:

[tex]\[ \begin{array}{|c|c|c|c|c|} \hline & & \multicolumn{2}{|c|}{\text{Gender}} & \text{Total} \\ \hline & & \text{Male} & \text{Female} & \\ \hline \text{Novice} & 130 & 50 & 180 \\ \hline \text{Average} & 290 & 50 & 340 \\ \hline \text{Expert} & 30 & 50 & 80 \\ \hline \text{Total} & 450 & 150 & 600 \\ \hline \end{array} \][/tex]

Each value in the table represents the correct number of players at each expertise level by gender and total players confirmed by the survey's data.
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