write Python code to demonstrate knowledge of:

How to compute quartiles and the interquartile range

How to determine if a value is an outlier

How to manipulate the mean and the standard deviation of a dataset

Use this Proj$05.$py file code to make a Proj$05$Runner.py file:

from Proj$05$Runner import Runner

import sys

import random

from statistics import mean

from statistics import stdev

import matplotlib.pyplot as plt

import numpy as np

#Prepare and print variables that will be used to create

#a dataset.

theMean $=100$

theStd$\_$dev $=20$

theNumberSamples $=5000$

print$(\text{'}$theMean $=\text{'},$theMean$)$

print$(\text{'}$theStd$\_$dev $=\text{'},$theStd$\_$dev$)$

print$(\text{'}$theNumberSamples $=\text{'},$theNumberSamples$)$

print$()$

# Generate an approximately normal or Gaussian dataset

np$.$random.seed$(1)$

data$01=$ list$($np$.$random.normal$($theMean$,$ theStd$\_$dev,

theNumberSamples$))$

#Disable the following code to test your code against an

#approximately Gaussian dataset.

#Update the dataset to make it bimodal

data$01+=$ list$($np$.$random.normal$($int$($theMean$/4),$

theStd$\_$dev, int$($theNumberSamples$/4)))$

print$("$Output from student code begins here."$)$

#Call the student's run method in a class named Runner in

# the student's file named Proj$05$Runner passing the dataset

# as a parameter.

#The student's code must return the following values in the

# correct order for the #dataset received by the student's code:

$\text{'}\text{'}\text{'}$

Q$1($lower quartile$)$

Q$2($middle quartile$)$

Q$3($upper quartile$)$

IQR $($Interquartile range$)$

LOL lowerOutlierLimit

UOL upperOutlierLimit

MIN minimum value

MAX maximum value

$\text{'}\text{'}\text{'}$

#In addition, the student's code must return the following

#in the correct order:

$\text{'}\text{'}\text{'}$

ax The figure that is to be displayed on the screen

data$02$ The dataset shown in the upper$-$right quadrant

data$03$ The datsset shown in the lower$-$left quadrant

data$04$ The dataset shown in the lower$-$right quadrant

$\text{'}\text{'}\text{'}$

#Call the student code and save the return values.

Q$1,$Q$2,$Q$3,$IQR,LOL,UOL,MIN,MAX,ax$,$data$02,\backslash$

data$03,$data$04=$ Runner.run$($data$01)$

print$("$

Return to code in the driver script."$)$

print$("$using values returned from student's code.

$")$

print$("$Q$1($lower quartile$)=",$round$($Q$1,3))$

print$("$Q$2($middle quartile$)=",$round$($Q$2,3))$

print$("$Q$3($upper quartile$)=",$round$($Q$3,3))$

print$("$IQR $($Interquartile range$)=",$round$($IQR$,3))$

print$("$lowerOutlierLimit $=",$round$($LOL$,3))$

print$("$upperOutlierLimit$",$round$($UOL$,3))$

print$("$min $=",$MIN$)$

print$("$max $=",$MAX$)$

print$("$

Comparison of the histogram on top left with

$"$

"the other histograms."$)$

topLeftMean $=$ round$($mean$($data$01),3)$

bottomLeftMean $=$ round$($mean$($data$03),3)$

topRightMean $=$ round$($mean$($data$02),3)$

bottomRightMean $=$ round$($mean$($data$04),3)$

topLeftStd $=$ round$($stdev$($data$01),3)$

bottomRightStd $=$ round$($stdev$($data$04),3)$

print$("$Mean of top left $=",$topLeftMean$)$

print$("$Mean of bottom left $=",$bottomLeftMean$)$

print$("$Mean of top right $=",$topRightMean$)$

print$("$Mean of bottom right $=",$bottomRightMean$)$

print$()$

print$("$Standard deviation of top left $=",$topLeftStd$)$

print$("$Standard deviation of bottom right $=",$bottomRightStd$)$

print$("$Standard deviation ratio $=",$round$($bottomRightStd$/$topLeftStd$,2))$

#DO NOT include plt$.$show$()$ in your code. Instead, return your figure

#as shown above in the call to your run method.

#Display the graph created and returned by the student's code.

plt$.$tight$\_$layout$()$

plt$.$show$()$