From the two images you uploaded, both the histogram and the dot plot are used to represent quiz scores data.

The Question:

Tyler wants to know how many students scored fewer than 3 questions right. To answer this, we can analyze both the histogram and the dot plot to determine which one is more suitable.

Analysis of the Graphs:

1. Histogram:

• The histogram groups scores into bins. For example, the first bin represents the range of scores from 0 to 3.
• Based on the histogram, the first bar shows that 3 students scored between 0 and 3 quiz questions right. The histogram aggregates data, so you can quickly count how many students are within a certain range.

2. Dot Plot:

• The dot plot shows each student's individual score by placing dots at each value.
• In the dot plot, we can count the exact number of dots below the score of 3. There are 3 dots in total below the value 3, meaning 3 students scored fewer than 3.

Conclusion:

Both graphs show that 3 students scored fewer than 3 quiz questions correctly. However, the histogram is better for answering this question directly because it groups data into intervals, making it easier to quickly see how many students fall below certain thresholds.

Would you like more details or have any other questions?

Related Questions:

1. How do histograms help in understanding distributions compared to dot plots?
2. What are some limitations of dot plots when displaying large datasets?
3. Can you explain the significance of bin sizes in histograms?
4. How would you represent data if there were many more quiz scores (e.g., hundreds)?
5. What statistical measures could you calculate from the histogram and dot plot?

Tip:

When comparing data in a histogram, always pay attention to how the bins are structured, as they can change the interpretation of the data distribution.