Project $5$ Problem to solve

Modify the code that was completed for Lab $18$

Recall that in that program, two different subsizes were specified by the user

The entire set of $100,000$ integers was then grouped into subsets and means of the

subsets were computed

Histograms of the means of both subset sizes were displayed and the stats displayed

in the iPython console

In Project $5$ we will use the range function to set up a list with the following

subset sizes: $10,30,50,70,90$

Use a loop to iterate through the list generating a list of means for each of the subset

sizes

If the subset size is $10$ or $30,$ plot the histograms

Calculate the stats for each list

After exiting the loop, in a separate figure, plot the standard deviations of the means

as the subset size increases

After exiting the loop, in a separate figure, plot the mean of the means as the subset

size increases How to solve Project $5$:

The main difference between Lab $18$ and Project $5$

Lab $18$:

User input specified two subset sizes

Lists of means were generated with both subset sizes

Histograms displayed for both

Stats displayed for both

Project $5$

The range$()$ function used to set up a list of subset sizes

We must use a loop to iterate through all elements in the list

For each element in the list we generate a list of means

For each list of means we calculate the following

Min of the mean

Max of the mean

Mean of the mean

Standard deviation of the mean

If subset size is $10$ or $30,$ we plot histogram of the means in a single plot

After exiting the loop, we plot the standard deviations in a single plot and the means of the

means in a single plot How to solve Project $5($continued$)$:

You are free to solve this problem however you like, as long as you

fulfill the program requirements listed above in slide $4$

However, if you would like assistance, here are some suggestions to

consider:

Write a function to plot the standard deviations

Write a function to plot the means of the means

Modify the plotHistograms $()$ function that was written in lab $18$

Write a function to get all the lists

This is where we can loop to iterate through the subsetSizes list

It returns the list of means of the means and the list of standard deviations

of the means

These will be needed to make the plots

Possible pseudocode for this function is in the next few slides Project $5$ sample output

Stats displayed in the iPython console:Project $5$ sample output