Particle size data gathered from electron micrographs are shown in the table below.

$($a$)(3$ points$)$ Plot a histogram showing number fraction as a function of size.

$($b$)(3$ points$)$ Plot the distribution as a cumulative number $\%$ finer than as a function of size.

$($c$)(2$ points$)$ Find the number$-$average particle size, and

$($d$)$ point