A streamlined version of our Lab $2$ code might be as follows:

import io #$"$i$"$nput and $"$o$"$utput files.

import pandas as pd #pd holds tables in "dataframes".

import numpy as np #np has mathematical tools

import matplotlib.pyplot as plt #plt has our plotting tools.

from google.colab import files #files allow us to upload our csv files into google Colab.

uploaded $=$ files.upload$()$ #Get data into google colab's memory

data$\_$frame $=$ pd$.$read$\_$csv$($io$.$BytesIO$($uploaded$[$next$($iter$($uploaded$))]))$# Move the data into a dataframe

header$=$"Run $1$:Time$($s$)"$ #Name of date run you want to analyze

header$=$"Data Set $1$:Time$($s$)"$ #$...$ I don't know which one is correct.

time$\_$data$=$data$\_$frame$[$header$].$dropna$().$to$\_$numpy$()$ # Move just the time data into an array

subtraction$\_$distance$=1$ #Remember this needs to be corrected!

period$=$np$.$zeros$($len$($time$\_$data$)-$subtraction$\_$distance$)$ #Set up an array to hold period data.

for i in range$($len$($period$))$:

period$[$i$]=($time$\_$data$[$i$+$subtraction$\_$distance$]-$time$\_$data$[$i$])$ #Fill in the period data by subtracting two values

plt$.$plot$($period$,\text{'}.\text{'},$color$=\text{'}$b$\text{'},$ label$=$"Student Calculated period"$)$ #We ALWAYS want to see what our data looks like!

#plt$.$plot$($data$\_$frame$[$header$.$replace$(\text{'}$Time$\text{'},$'Period'$)],\text{'}$x$\text{'},$color$=\text{'}$r$\text{'},$label$=$"Labquest Calculated period"$)$#We might want to see what the LabQuest provided.

plt$.$legend$()$

plt$.$ylabel$("$this needs to be filled in$")$

plt$.$xlabel$("$this needs to be filled in$")$

plt$.$title$("$Analysis of $"+$ next$($iter$($uploaded$)))$

plt$.$show$()$

Which of the following could be added to the code above so we can easily see the average value of the period and the uncertainty of the period?

We will need this code to be able to complete part $1$ of lab $3$ in a reasonable amount of time... so do some testing with the data from last week to make sure you got out all the bugs.