Which of these are examples of quantitative variables? Choose three.Answer instructionsBoxplotsBar diagramsHistogramsStemplotsPie charts

Identifying Quantitative Variables

To identify which of the options are examples of quantitative variables, we need to understand what quantitative variables are. Quantitative variables are those that can be counted or measured and are expressed numerically. They typically represent measurable quantities, such as height, weight, temperature, and so forth.

Analysis of Options

1. Boxplots: This is a graphical representation of the distribution of numerical data. While it represents quantitative data, it is not a variable itself.

2. Bar diagrams: This can represent both qualitative and quantitative variables, but in general, it's used for categorical data representation rather than specifically for quantitative variables.

3. Histograms: This is a graphical representation showing the distribution of a quantitative variable by dividing the data into intervals (bins) and counting the number of occurrences in each bin.

4. Stemplots: This is also a representation of quantitative data, where numbers are split into stems and leaves to visualize the distribution of a quantitative variable.

5. Pie charts: This visualization method typically displays categorical data rather than quantitative variables.

Conclusion

From the analysis, the three examples of quantitative variables are:

1. Histograms
2. Stemplots
3. Boxplots (as they visualize quantitative data)

However, note that boxplots are essentially a tool for depicting the summary statistics of a quantitative variable rather than serving as a variable themselves. Therefore, the final three choices focusing on depiction are:

• Histograms
• Stemplots
• Boxplots (used for summary visualization)