Construct a Run Chart for Individual Values Corresponding to the Given

Essay

Construct a run chart for individual values corresponding to the given data. A machine that is
supposed to produce ball bearings with a diameter of 7 millimeters yields the following data
from a test of 5 ball bearings every 20 minutes. $\quad$ $\quad$ $\quad$ $\quad$ $\quad$$\text { Ball Bearing Diameter }(\mathrm{mm} \text { ) }$
$\begin{array}{c|ccccc|c|c|}\text { Sample } &&&&& & \bar{x} & \text { Range } \\\hline 1 & 6.3 & 6.8 & 6.9 & 6.8 & 6.9 & 6.74 & 0.6 \\2 & 6.3 & 6.6 & 6.6 & 6.3 & 7.0 & 6.56 & 0.7 \\3 & 6.8 & 6.7 & 7.0 & 6.5 & 7.0 & 6.80 & 0.5 \\4 & 7.0 & 6.7 & 6.7 & 6.8 & 6.8 & 6.80 & 0.3 \\5 & 6.8 & 6.8 & 6.6 & 6.5 & 6.4 & 6.62 & 0.4 \\6 & 6.8 & 6.7 & 6.6 & 6.3 & 6.9 & 6.66 & 0.6 \\7 & 7.3 & 7.3 & 7.4 & 7.4 & 7.0 & 7.28 & 0.4 \\8 & 7.2 & 7.0 & 7.2 & 6.9 & 7.1 & 7.08 & 0.3 \\9 & 7.3 & 7.6 & 7.1 & 7.4 & 7.6 & 7.40 & 0.5 \\10 & 7.2 & 7.6 & 7.5 & 7.6 & 7.1 & 7.40 & 0.5 \\11 & 7.2 & 7.2 & 7.4 & 7.0 & 7.0 & 7.16 & 0.4 \\12 & \quad7.5 \quad& 7.4 & 7.4 & 7.6 & \quad 7.1 \quad& 7.40 & 0.5\end{array}$