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An operations manager wants to measure variability in the delivery time of insurance policies to clients. Which of the following quality tools most appropriately would show the level of variability?
A histogram is the most appropriate quality tool to measure variability in the delivery time of insurance policies to clients because:
Distribution Visualization: A histogram displays the distribution of data points, showing how delivery times are spread out. This helps in understanding the range and frequency of delivery times.
Identifying Variability: It allows for easy visualization of the level of variability or dispersion in the delivery times, highlighting any inconsistencies or outliers in the process.
Data Analysis: Histograms provide a clear picture of the central tendency, spread, and shape of the data distribution, which is crucial for identifying patterns and potential areas for improvement.
Decision Making: By showing the distribution of delivery times, a histogram helps the operations manager make informed decisions about process adjustments to reduce variability and improve consistency.
A Pareto chart (Option A) is used to prioritize problems based on their frequency or impact. A scatterplot (Option C) shows relationships between two variables, not the distribution of one. A check sheet (Option D) is used for data collection and not for showing variability in data.
Reference
'Statistical Quality Control: A Modern Introduction' by Douglas C. Montgomery.
'The Six Sigma Handbook' by Thomas Pyzdek and Paul Keller.