Certainly! Let's analyze the given survey data and identify the appropriate types of graphs for summarizing the variables.
### (a) Identify the variables for which a bar graph would be the most appropriate display for summarizing the data. Explain your choice.
Bar graphs are most appropriate for categorical data, where the data can be divided into distinct categories or groups. Let's look at the variables:
1. Favorite Game Genre - This variable categorizes the respondents based on their preference for different game genres such as Action, Sports, Role-Playing Games, and Puzzle.
2. Preference for Single Player or Multiplayer - This variable categorizes the gamers into two distinct groups: Single Player and Multiplayer.
3. Preferred Gaming Platform - This variable categorizes the gamers based on their preferred platform, such as Console, PC, and Mobile.
These variables are categorical, meaning they represent distinct categories that do not have any natural numerical ordering. Therefore, a bar graph is most suitable for illustrating these variables.
List of categorical variables suitable for bar graphs:
- Favorite Game Genre
- Preference for Single Player or Multiplayer
- Preferred Gaming Platform
### (b) Identify the variables for which a histogram would be the most appropriate display for summarizing the data. Explain your choice.
Histograms are most appropriate for continuous numerical data, where the data can take on any value within a given range. Let's identify these variables:
1. Age - This variable is continuous and numerical, representing the ages of the respondents. Age can take any numerical value.
2. Hours Played per Week - This variable is also continuous and numerical, representing the number of hours gamers spend playing per week. It can take various numerical values depending on the individual’s gaming habits.
These variables are numerical and continuous, meaning they have a range of values that are not limited to specific categories. Thus, a histogram is best suited for illustrating the distribution of these continuous variables.
List of continuous variables suitable for histograms:
- Age
- Hours Played per Week
To summarize:
- Bar graph variables: Favorite Game Genre, Preference for Single Player or Multiplayer, Preferred Gaming Platform
- Histogram variables: Age, Hours Played per Week
