Question

Match the following charts with their application (Under what situations are they more appropriate than the Xbar and R chart) Individual X I Choose 1 [Choose Large sample size ✓ Homogeneous process Ongoing Control Median and R Chart Xbar and Chart [Choose

Answer 1

The Individual X and Median and R charts are more appropriate than the Xbar and R chart in situations where we have a small sample size, a need to monitor central tendency and dispersion, or when the process data is not normally distributed.

Step-by-step explanation:

The question is asking about when the Individual X and Median and R charts are more appropriate than the Xbar and R chart. Let's break it down:

1. Individual X Chart: This chart is used when we have a small sample size, a homogeneous process, and ongoing control. It is often used to monitor the performance of an individual item or process.
2. Median and R Chart: This chart is used when we have a small sample size and need to monitor the central tendency (median) and dispersion (range) of the data. It is especially useful when the process data is not normally distributed.
3. Xbar and R Chart: This chart is used when we have a large sample size and want to monitor the average (Xbar) and variation (R) of the data. It is commonly used for statistical process control in manufacturing.

So, the Individual X and Median and R charts are more appropriate than the Xbar and R chart in situations where we have a small sample size, a need to monitor central tendency and dispersion, or when the process data is not normally distributed.