14. A manager has raw data on the weight of each metal rack manufactured in a production facility. The manager wants to visualize the data to see how many racks are 40.0 pounds to 40.1 pounds, how many are 40.2 pounds to 40.3 pounds, etc. Which quality control tool should be used?
Answer: C
Histogram
A histogram is the best choice for visualizing the distribution of the weights of metal racks in specified ranges, such as 40.0 to 40.1 pounds and 40.2 to 40.3 pounds. This tool effectively shows the frequency of data points within these intervals, allowing the manager to analyze the weight distribution at a glance.
A) Pareto chart
A Pareto chart is used to identify the most significant factors in a dataset, often in terms of frequency or impact, but it does not effectively show the distribution of continuous data like weights. Therefore, it is not suitable for visualizing the weight ranges of metal racks as required in this scenario.
B) Scatterplot
A scatterplot is designed to display the relationship between two continuous variables and is not appropriate for showing frequency distributions. Since the manager needs to categorize weights into specific ranges, a scatterplot does not fulfill this requirement.
C) Histogram
A histogram is specifically intended for displaying the frequency distribution of continuous data by dividing it into intervals or bins. In this case, it allows the manager to see how many racks fall within each weight range, making it the ideal choice for the situation described.
D) Check sheet
A check sheet is a simple tool used for data collection and organization, typically to record the occurrence of specific events or attributes. While it can be useful for tracking data, it does not provide the visual representation needed to analyze weight distribution among the racks.
Conclusion
The histogram is definitively the right choice for visualizing the weight distribution of metal racks, as it clearly illustrates the frequency of data within specified weight ranges. All other options fail to provide the necessary visualization for continuous data distribution, thereby making them unsuitable for the manager's needs.