When selecting the best type of graph to display the data Carole collected on the number of books read during the summer, it's essential to consider the nature of the data and what type of visual representation would most effectively communicate the information.
Here’s a step-by-step breakdown of the decision process:
1. Understanding the Data:
Carole's data represents the number of books read by each student during the summer. This is a frequency distribution of a single variable (number of books read).
2. Types of Graphs:
- Bar Graph (A): Used for comparing different categories, where each bar represents a category.
- Line Graph (B): Ideal for displaying data points over time, showing trends and changes.
- Histogram (C): Useful for showing frequency distribution, where data is divided into intervals (bins), and the height of each bar indicates the frequency of data within that interval.
- Circle Graph (D): Also known as a pie chart, it is best for showing proportions and percentages within a whole.
3. Choosing the Best Fit:
- The data provided is a list of individual counts (how many books each student read). The goal is to show how often each range of book counts occurs.
- A histogram is ideal for this purpose as it groups the number of books read into intervals or bins and displays the frequency for each interval.
Therefore, the most suitable graph for Carole to use in displaying her survey data on the number of books read during the summer is a histogram.
Thus, the correct answer is:
C) histogram
