To determine which types of bar charts are suitable for representing the given data on how teachers and students get to school using cars or bikes, let's analyze each option step-by-step:
1. Simple Bar Chart:
A simple bar chart is effective for showing the quantity of individual categories. Since we have four distinct quantities (teachers using cars, teachers using bikes, students using cars, students using bikes), a simple bar chart would be suitable. Each bar can represent one of these categories, clearly showing the comparison in terms of numbers.
2. Dual Bar Chart:
A dual bar chart is useful for comparing two sets of values side-by-side within categories. In our case, we can compare the number of teachers versus students for cars and bikes. For each mode of transportation (cars and bikes), we can place two bars next to each other, one for teachers and one for students, making this chart type highly suitable for our data.
3. Stacked Bar Chart:
A stacked bar chart stacks categories on top of each other within a single bar to show the cumulative total. We can use one bar for cars and one bar for bikes, stacking the data for teachers on top of the data for students within each bar. This will help visualize the total number of people using each mode of transportation, along with highlighting the contribution from teachers and students. Therefore, a stacked bar chart is suitable for our data set.
4. Back-to-Back Bar Chart:
A back-to-back bar chart is generally used for visualizing two opposing sets of data, often with a central axis. This is not applicable to our data since we are not comparing opposing values but rather the distribution of two groups (teachers and students) across two modes of transportation (cars and bikes). It would not be suitable for representing our data accurately.
Based on the analysis, the suitable types of bar charts to represent the data showing how different people get to school using cars or bikes are:
- Simple bar chart
- Dual bar chart
- Stacked bar chart
The unsuitable type is the back-to-back bar chart. Thus, the suitable options are:
Simple bar chart, Dual bar chart, and Stacked bar chart.
