Use the relative frequency histogram to
approximate the greatest and least relative frequencies.

Verified step by step guidance

1. Step 1: Observe the relative frequency histogram provided. The x-axis represents the length of female fibulas in centimeters, while the y-axis represents the relative frequency.
2. Step 2: Identify the bar with the greatest height on the histogram. The height of the bar corresponds to the greatest relative frequency. Approximate the value by observing the y-axis scale.
3. Step 3: Identify the bar with the smallest height on the histogram. The height of the bar corresponds to the least relative frequency. Approximate the value by observing the y-axis scale.
4. Step 4: Note the range of lengths (x-axis) associated with the bars of greatest and least relative frequencies. This provides additional context for the data distribution.
5. Step 5: Summarize the findings by stating the approximate greatest and least relative frequencies based on the histogram and their corresponding length ranges.

Key Concepts

Relative Frequency

Relative frequency is the ratio of the frequency of a particular category to the total number of observations. It provides a way to understand how often a certain value occurs in relation to the entire dataset, expressed as a fraction or percentage. In histograms, relative frequencies help visualize the distribution of data points across different intervals.

Histogram

A histogram is a graphical representation of the distribution of numerical data, where the data is divided into intervals (bins) and the frequency of data points within each interval is represented by the height of bars. In the context of relative frequency, the height of each bar indicates the proportion of the total observations that fall within each interval, allowing for easy comparison of different ranges.

Peaks in Distribution

Peaks in a distribution refer to the highest points in a histogram, indicating the intervals with the greatest frequency of data points. Identifying these peaks helps in understanding the most common values within the dataset. In the provided histogram, the peaks around 34 and 35 centimeters suggest that these lengths of female fibula are the most frequently observed in the sample.