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.

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