$[$Week $10$ PPT & Video$]$ A manufacturing operation produces plastic parts in batches of $500$ parts per batch. After running each batch, an operator pulls three random parts out of the batch and measures how many millimeters wide each of the three parts are. The operator records these three numbers in order to calculate control limits$.$ You are asked to create a control chart based upon the data shown below $($even though, technically, this is not enough data to create a statistically significant control chart$).$

The data will be used to create two types of control charts:

One chart will measure the performance of the process $($the width of the parts in millimeters$).$

The other chart will measure the variation in the process $($how much the parts in the batch vary from each other$)$

What is the UPPER CONTROL LIMIT for the chart that will measure the performance of the process?

BATCH

$1$

$q,$

$q,------$

$213$

$12$

$16$

$3$

$19$

$13$

$19$

$4$

$16$

$19$

$14$

$15$

$18$

$15$