Final answer:
Histograms and Box plots are the types of graphs that provide information on the distribution of continuous measures. Histograms display the frequency of data within equal intervals, while Box plots summarize the data using key statistics and show the data's distribution. Therefore, the mentioned correct option in the final answer would be options 1) Histogram and 2) Box plot.
Step-by-step explanation:
To determine which graph types provide information on the distribution of a continuous measure, it's important to understand the specific characteristics and uses of various types of graphs. The question asks about Histograms, Box plots, Scatter plots, and Line graphs.
A Histogram is particularly well-suited to illustrate the distribution of continuous data. It does so by dividing the data into intervals, or 'bins', and then counting the number of data points that fall into each bin. The bins are typically of equal size and the height of each bar represents the frequency of the data points in that interval. This allows you to see patterns such as skewness or bimodality in the data's distribution.
A Box plot, on the other hand, summarizes a dataset using five statistics while displaying the distribution of the data. These statistics are the minimum, first quartile, median, third quartile, and maximum values. It provides a visual summary of several important characteristics of the data distribution, including the spread and symmetry.
A Scatter plot is useful for showing the relationship between two continuous variables, but it does not directly show the distribution of a single variable. Similarly, a Line graph is often used to show changes over time; it connects individual data points, which can represent discrete or continuous data, with lines. However, it is not typically used to display the distribution of a single continuous variable. Based on the provided information and the specific needs for displaying the distribution of continuous data, the best graph types to choose would be a Histogram and a Box plot. These options are best equipped to provide a visual representation of continuous data distribution. Therefore, the mentioned correct option in final answer would be options 1) Histogram and 2) Box plot.