Problem $5(20$ Points$)$ The following data corresponds to voltage $($V$)$ measurements taken from an electric generator in operations: Readings $12345678910$ V $($Volts$)82\mathrm{.}5182\mathrm{.}3582\mathrm{.}4782\mathrm{.}2982\mathrm{.}3782\mathrm{.}3382\mathrm{.}4082\mathrm{.}4782\mathrm{.}7282\mathrm{.}52$ a$)$ Calculate the mean value of V $($show your work$).[$answer box $5$a$]$ b$)$ Calculate the standard deviation of V $($show your work$).[$answer box $5$b$]$ c$)$ What range of values should $90\%$ of the Voltage measurements fall within? $[$answer box $5$c$]$ Answer Box $5$a: Answer Box $5$b: Answer Box $5$c: