Constructing Run Charts
A run chart is a line graph that shows data points plotted in the order in which they occur. They are used to show trends and shifts in a process over time, variation over time, or to identify decline or improvement in a process over time. They can be used to examine both variables and attribute data.
Steps in Constructing a Run Chart
- Draw and label the vertical (y) axis using the measurement units you are tracking (e.g., numbers of defectives, mean diameter, number of graduates, percent defective, etc.)
- Draw and label the horizontal (x) axis to reflect the sequence in which the data points are collected (e.g., week 1, week 2, ... or 8AM, 9AM, 10AM, etc.)
- Plot the data points on the chart in the order in which they became available and connect the points with lines between them.
- Calculate the average from the data, and draw a horizontal line across the chart at the level of the average.
- Interpret the chart and decide what action to take. Are trends present? Would the chart look different if everything were perfect? The key is to look for trends, and not focus on individual points.
Example:
Average Math Entrance Exam Scores by Year Average Year Math Score 1975 139 1976 130 1977 61 1978 164 1979 129 1980 100 1981 108 1982 110 1983 68 1984 78 1985 57 1986 77 1987 38 1988 53 1989 50 1990 81 1991 105 1992 65 1993 97 1994 62 1995 96 1996 93
Run - Chart:
It should be obvious from this chart, that average math scores in the eighties dropped from those in the seventies, and now, in the nineties have rebounded somewhat but are still lower than they were in the seventies.