Final answer:
The student's question involves the creation and analysis of a histogram, a type of graph that represents the frequency distribution of a quantitative variable through adjacent bars. Histograms display data distribution, allowing for interpretation of the center, spread, and shape, indicating normal or skewed distributions. A frequency table may assist in constructing the histogram by organizing data and respective frequencies.
Step-by-step explanation:
The question pertains to the construction and interpretation of a histogram, which is a graphical representation in x-y form of the frequency distribution of a quantitative variable. To create a histogram, one must decide on the number of bars or intervals, also known as classes, which generally range from five to 15 for clarity.
The width of each bar, or bin size, can be determined by dividing the range of data values by the desired number of bins. Each bar's height corresponds to the frequency of data values within that interval. The horizontal axis usually represents the classes of data, while the vertical axis reflects the frequency or relative frequency of these classes.
The shape of the histogram provides information about the distribution of the data, including whether it is normal, approximately normal, or skewed, and gives insights into the center and spread of the data set.
The frequency indicates the number of data points in each interval, while the relative frequency shows the proportion of data points in each interval relative to the total number of data points.
A frequency table is a tabular representation that displays grouped data and corresponding frequencies, aiding in the creation of a histogram. These tools are essential in the field of statistics for visualizing and interpreting the distribution of data points within a given dataset.