ased on the data below answer the following questions:

Sample Observation Observation Observation Observation Observation Observation Observation

Number $1234567$

$10\mathrm{.}5040\mathrm{.}5050\mathrm{.}5110\mathrm{.}5180\mathrm{.}5030\mathrm{.}5010\mathrm{.}502$

$20\mathrm{.}5010\mathrm{.}5020\mathrm{.}5120\mathrm{.}5090\mathrm{.}5050\mathrm{.}5040\mathrm{.}503$

$30\mathrm{.}5020\mathrm{.}5030\mathrm{.}5150\mathrm{.}5060\mathrm{.}5070\mathrm{.}5040\mathrm{.}501$

$40\mathrm{.}5030\mathrm{.}5010\mathrm{.}5070\mathrm{.}5080\mathrm{.}5060\mathrm{.}5220\mathrm{.}502$

$50\mathrm{.}5050\mathrm{.}5010\mathrm{.}5110\mathrm{.}5140\mathrm{.}5040\mathrm{.}5070\mathrm{.}503$

The management of West Allis Industries is concerned about the production of a special metal screw used by several of the company$$s largest customers. The diameter of the screw is critical to the customers. Data from five samples appear in the accompanying table. The sample size is $7.$

a$.$ What is the center for r$-$bar? $($Round to the third decimal place$)$