Histogram Assignment: Table Shows The Inside Diameter In

Question

Histogram Assignmenttable Below Shows The Inside Diameter In Millimet Histogram Assignment Table below shows the inside diameter (in millimeters) of metal sleeves produced in a machine shop for 100 randomly selected parts. Twenty samples, each of size 5, were taken. Simply looking at the data below table provides little insight about the process. Please provide the histogram and your explanation (how the sample distributed?)

Dr. Jack HW Helper · Accepted Answer

The task involves constructing a histogram based on the inside diameter data of metal sleeves from a machine shop. The data comprises 100 observations, grouped into 20 samples of size five each. A histogram is an effective visual tool for understanding the distribution of continuous data, revealing patterns such as skewness, modality, or the presence of outliers. Since the actual raw data cannot be directly visualized here, we will simulate a typical approach and interpretative analysis based on representative data patterns. Understanding the Distribution of Inside Diameter Constructing the histogram involves dividing the range of diameters into intervals — or bins — and then counting how many observations fall within each. For demonstration purposes, assume the data shows a roughly normal distribution with a mean around 50 mm and a small standard deviation, typical of precision manufacturing processes. This distribution indicates that most metal sleeves are produced with diameters close to the target value, which suggests process stability and precision control. Methodology for Construction Using the actual data, the first step would involve determining the minimum and maximum inside diameters, then choosing an appropriate number of bins (often determined by Sturges' rule or the square-root choice). For instance, if the diameters range from 45 mm to 55 mm, bins could be 1 mm wide, leading to 10 bins covering the entire range. Once bin ranges are set, frequencies are tallied, displaying the number of sleeve diameters falling within each bin across all 100 observations. Plotting these frequencies on a bar chart yields the histogram. Expected Insights If the histogram reveals a bell-shaped curve centered near 50 mm, this indicates a normal distribution, typical of a stable process with controlled variation. If the distribution is skewed or multimodal, it suggests process variability or potential issues such as tool wear, calibration problems, or material inconsistenci

Histogram Assignment: Table Shows The Inside Diameter In ✓ Solved

Histogram Assignmenttable Below Shows The Inside Diameter In Millimet

Sample Paper For Above instruction

Understanding the Distribution of Inside Diameter

Methodology for Construction

Expected Insights

Implications and Conclusions

References