To determine the best type of display for the data provided, let's analyze the key features of each charting option.
We have the following data:
1. Orange Tabby: 8 cats
2. Calico: 2 cats
3. Grey Tabby: 2 cats
4. Orange: 1 cat
5. Brown Tabby: 5 cats
We can choose between these display options:
1. Bar graph; there should be a comparison of each category
2. Two-way relative frequency table; there should be a comparison of each category
3. Bar graph; there should be a comparison of more than one categorical data variable
4. Two-way relative frequency table; there should be a comparison of more than one categorical data variable
Here's a step-by-step guide to the decision-making process:
1. Bar Graph for Comparison of Each Category:
- A bar graph is a visual representation that uses bars to show the frequency of different categories. It is effective for comparing the number of cats in each specific category.
- Since we only have one categorical variable (color of cats), this will allow us to compare how many cats there are for each color directly.
2. Two-Way Relative Frequency Table for Comparison of Each Category:
- A two-way relative frequency table displays data in a matrix format, which shows the proportion of each combination of variables.
- This is useful when we have two categorical variables to compare. While it facilitates a comprehensive look at relationships between two variables, it is overly complex for the given data set, which only involves one variable (cat color).
3. Bar Graph for Comparison of More Than One Categorical Data Variable:
- This means using a bar graph to compare combinations of more than one categorical variable.
- However, since we only have one categorical variable, this option doesn't fit our data well.
4. Two-Way Relative Frequency Table for Comparison of More Than One Categorical Data Variable:
- Similar to option 2 but focuses on two-way comparisons for multiple variables.
- This is not applicable, given our single-category data.
Given our data consists of various counts of cats based on their color, with each category representing a different color, a bar graph is appropriate because it allows for a straightforward comparison of the number of cats in each color category.
Thus, the best type of display for this data is a Bar graph; there should be a comparison of each category because it helps to compare the number of cats across the different color categories effectively.
