Problem #$1$: Consider the sieve analysis and hydrometer data below. $($a$)$ Plot the particle size distribution curve for each of the three soils on the same semi logarithmic diagram using Excel. Be sure to label the axes and format your plot properly. $($b$)$ Determine $C_u$ and $C_c$ for each of the three soils. $($c$)$ Which of these soils is most well$-$graded? Why?

$\backslash$table$[[$Sieve Number,$\%$ Passing by Weight$],[\backslash$table$[[$Lagoon Clay$],[$Beufort$,$ SC$]],\backslash$table$[[$Beach Sand$],[$Daytona Beach, FL$]],\backslash$table$[[$Weathered Tuff$],[$Central America$]]],[\frac{3}{4}$ in$,100,100,100],[\frac{1}{2}$ in$,100,100,98],[$#$4,100,100,95],[$#$10,100,100,93],[$#$20,100,100,88],[$#$40,100,98,82],[$#$60,100,90,75],[$#$100,95,10,72],[$#$200,80,2,68],[$Particle Diameter,,,$],[$from Hydrometer,,,$66],[$Analysis $($mm$),61,,33],[0\mathrm{.}045,42,,21],[0\mathrm{.}010,37,,10],[0\mathrm{.}005,27,,]]$

Data from Sowers $(1979).$