Riverdale Hospital is concerned over the number of times patients must wait more than $30$ minutes beyond their scheduled appointments. The quality team decided to take random samples of $46$ patients to see how many in each sample had to wait more than $30$ minutes. Each instance is considered a defect in the clinic process. The table below contains the data for $15$ samples.

Sample Number of defects

$15$

$22$

$31$

$43$

$51$

$65$

$72$

$83$

$96$

$103$

$119$

$129$

$135$

$142$

$153$

The LCLp $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_($enter response rounded to $3$ decimal places$).$