Questions: A video game developer doing internal research asks 10 randomly selected people who self-identify as "gamers" how many of the developer's games they have played. The responses the developer receives are given below.
0 2 1 1 0
1 0 2 1 1
Use a calculator to find a frequency distribution of the data. How many of the respondents have played at least one of the developer's games?
Transcript text: A video game developer doing internal research asks 10 randomly selected people who self-identify as "gamers" how many of the developer's games they have played. The responses the developer receives are given below.
0 & 2 & 1 & 1 & 0
1 & 0 & 2 & 1 & 1
Use a calculator to find a frequency distribution of the data. How many of the respondents have played at least one of the developer's games?
Solution
Solution Steps
To solve this problem, we need to:
Create a frequency distribution of the given data.
Count how many respondents have played at least one of the developer's games.
Step 1: Frequency Distribution
To find the frequency distribution of the data, we count the occurrences of each unique response. The given responses are:
\[ [0, 2, 1, 1, 0, 1, 0, 2, 1, 1] \]
The frequency distribution is:
\[
\begin{align_}
0 & : 3 \\
1 & : 5 \\
2 & : 2 \\
\end{align_}
\]
Step 2: Count Respondents Who Played at Least One Game
To determine how many respondents have played at least one of the developer's games, we count the number of responses that are greater than 0. From the given data, the responses greater than 0 are:
\[ [2, 1, 1, 1, 2, 1, 1] \]
The count of these responses is 7.
Final Answer
The frequency distribution of the data is:
\[
\begin{align_}
0 & : 3 \\
1 & : 5 \\
2 & : 2 \\
\end{align_}
\]
The number of respondents who have played at least one game is:
\[
\boxed{7}
\]