Data was collected from around $1$:$00$ pm on $9/12/2023$ until $9$:$00$ am on $9/14/2023.$ Answer the following questions.

Speed distribution plot

Using the data in the speed data tab,

$1.$ Create a cumulative distribution plot of speeds: You should use the speed bins $($classes$)$ as provided in the data,

$2.$ Determine the mean, mode, and median speeds $($round to nearest whole speed$),$

$3.$ Determine the standard deviation of speeds $($use one decimal place$),$

$4.$ Determine the pace $($use a $10$ mph increment$),$ and

$5.$ Determine the $85$th percentile speed. How does this compare to the posted speed limit at the location?

Volume Plot

Using the data in the volume data tab

$6.$ Create a plot to show the total volume for each hour and discuss any noted trends.

$7.$ Determine the peak hour and peak hour factor on $9/13,$

$8.$ Determine the hourly expansion factor on $9/13$ for the time period provided to you.