Which of the following is the best way to describe the data shown in a histogram?

• A. Only mention the tallest bar in the histogram.
• B. Describe the data by calculating the sum $\sum$ of all frequencies.
• C. List the exact values of every data point in the dataset.
• D. Discuss the shape, center, spread, and any outliers or gaps in the data.

Answer: (D)

Verified step by step guidance

1. Understand that a histogram is a graphical representation of data distribution, showing frequencies of data within intervals (bins).
2. Recognize that describing data from a histogram involves summarizing key characteristics rather than focusing on a single bar or listing all data points.
3. Identify the shape of the distribution (e.g., symmetric, skewed, uniform, or bimodal) by observing the pattern of the bars.
4. Determine the center of the data, which can be estimated by locating where the middle values lie, often near the tallest bars or the balance point of the histogram.
5. Assess the spread by noting the range covered by the bars and look for any outliers or gaps where bars are missing or unusually low, indicating unusual data points or intervals.