Our Services

Get 15% Discount on your First Order

[rank_math_breadcrumb]

MINi PROJECT

2021Fall_IE342_MiniProject2 5 (Instructor: Azadeh Haghighi)

Mini Project 2

Directions:

In this project, you are going to graphically present, study, analyze and evaluate the distributions of a dataset. Upload your whole package (including any codes, plots, and the report) to the blackboard by the due date.

The Data:

Collect the size of 1000 files on your computer. Convert all sizes to the same unit (e.g., either KB or MB). You can do a quick search online (or get help form your classmates) to find out how to collect file sizes automatically using windows dir command. You can also decide to manually record the file sizes if you cannot figure out how to do it automatically.

Dataset

Use the above dataset to plot the necessary graphs and answer the following questions.

  1. Extract the first digit of collected file sizes and collect them in a table. The first digit is defined as the first nonzero digit from the left. For example, 1294 has first digit 1, and 0.34 has first digit 3.
  2. Before ploting the distribution of these first digits, which probability distribution do you think would best represent it? Why?
  3. Now plot the probability distribution of these first digits (vertical axis represents the probability while the horizontal axis represents the digit 1, 2 , 3, 4, 5, 6, 7, 8, 9). Looking at the plot, how does the probability pattern change as you move from digit 1 to 9? (i.e., does it increase or decrease?)
  4. Now use the following function to calculate and plot the probability of digit !.

“(!) = log!” )1 + 1!, ,

! = 1, 2, 3, 4, 5, 6, 7, 8, 9

5. Merge the plots obtained in part 4 with part 3 so that they are shown side by side as clustered columns (see below for a visualization example, the probability values are just provided randomly in this figure and do not reflect any realistic case). Compare the two plots side by side. What is your observation? Do you see any relation among the two plots?

1 0.8 0.6 0.4 0.2 0 … 1 Plot from 3 Plot from 4 3 2

  1. Search for “Benford’s law” online and explain what it states.
  2. Using Benford’s law explain what you observe in the plot in part 5?
  3. Find an application of Benford’s law in real life by searching the internet. Explain why this law is useful for that specific application.

Share This Post

Email
WhatsApp
Facebook
Twitter
LinkedIn
Pinterest
Reddit

Order a Similar Paper and get 15% Discount on your First Order

Related Questions

math 210 wk 9 i need healp

MAT210 – Week 9 Assignment Template Week 9 Assignment Template Making Data Driven Decisions Name:  Case Study:    1. Construct a box-and-whisker plot in Excel for the data set you used in your ALEKS assignment for this week. Paste that below. 1. Evaluate the results of the hypothesis test and

VII Math

See Attached Unit VII Math Journal Throughout this course, you have had access to unit study guides, reference sheets, note-taking guides, instructional videos, and learning aides. Reflect on how you used these resources to help you complete each assignment thus far, and describe how you can use these resources to

mat 210 wk 9

How to construct a box and whisker plot excel? MAT210 – Week 9 Assignment Template Week 9 Assignment Template Making Data Driven Decisions Name:  Case Study:    1. Construct a box-and-whisker plot in Excel for the data set you used in your ALEKS assignment for this week. Paste that below.

mat 210 wk 3

Which scatter plot would be best to use for a study? MAT210 – Week 3 Assignment Template Week 3 Assignment – The Foundation of Data-Driven Decisions Name: [Add your name] Professor Name: [Add your professor’s name] Date: [Add the Date Submitted] Scenario: You would like to determine whether eating before

Unit V DB Math

See attached DB V Math This unit covers different counting methods: the fundamental counting principle, combinations, and permutations. Complete each of the following:   1. Choose one of these topics and explain it to your classmates in your own words. 2. Create an example using the counting method you chose.

Compressed Sensing: Das mathematische Wunder, aus Wenigem Alles zu machen

  Das Limit von Nyquist brechen Lange Zeit galt in der Signalverarbeitung ein ehernes Gesetz: das Nyquist-Shannon-Abtasttheorem. Es besagt vereinfacht: Wenn du ein Signal (z.B. Musik oder ein Bild) perfekt aufnehmen willst, musst du es sehr oft messen (abtasten). Wenn du zu wenige Daten hast, verlierst du Information. Doch seit

Dimensional Analysis

Dimensional Analysis is a multi-step conversion process to convert one unit into another. You will use dimensional analysis to create a presentation this week.   Scenario:  A mother has been given a prescription for her child. She fills the prescription at her local pharmacy. When she gets home, she reads

MORTGAGE ASSESSMENT

Please find below the information you will need for your Mortgage Journal Assignment this week. Down Payment Required (List %):    15%   Number of Points at Closing      3 points   Mortgage Time Frame for Loan:      30 years    Interest Rate (List %):  Assume Points already lowered interest rate.    7 %  Annual Homeowner’s

DATA QUALITY

 Differentiate high-quality data from low-quality data and compare how low-quality data can adversely affect data analysis 

Unit III J Math

see attached The Unit III Journal entry is a reflection of scientific notation, a concept covered in Unit III as well as personal time management strategies. Be sure to complete  both parts A and B. Part A: In this unit, we cover the concept of scientific notation. In your own words,

MORTGAGE ASSESSMENT

Please find below the information you will need for your Mortgage Journal Assignment this week. Down Payment Required (List %):    15%   Number of Points at Closing      3 points   Mortgage Time Frame for Loan:      30 years    Interest Rate (List %):  Assume Points already lowered interest rate.    7 %  Annual Homeowner’s

How many meters in this velocity problem?

In  racing limits , two cars start side by side. Car A accelerates from 0 to 180 km/h in 6 seconds, while Car B accelerates from 0 to 200 km/h in 8 seconds. After 8 seconds, which car is farther ahead, and by how many meters (assuming constant acceleration)?

How many combinations of pieces

In  Block Blast , you have three pieces: a 2×2 square block, a 1×4 line block, and an L-shaped 3-block piece. If the board has exactly 8 empty spaces in a 4×4 area, how many different combinations of pieces can you place to completely fill those spaces (each piece used

sjmat

maintain a spending journal of EVERY dollar you spend on ANYTHING and EVERYTHING.  Use a spreadsheet to record your spending habits and categorize your spending.  Among dozens of other possible categories, you may consider: food, restaurants, entertainment, credit cards, loans, car payments, care maintenance, gas, housing, utilities, academic costs, and

hw

answer questions Governors State University Department of Health Administration and Informatics HLAD 4104 Health Care Economics Problem set 3 Total Points: 20 1. Given the following cost schedule for a regional hospital that seeks to maximize its profits, answer the following three questions: (6 points) Days of Hospital Care Supplied

math

Math Assessment- Submission Directions.htm Math Assessment- Submission Directions Due by 11:30 P.M on April 5, 2022   Similar to comprehension assessment submission, it might be a good idea to have a one-word document that provides just your report and results of the math assessment and two or more documents that

Statistics 2B

Assist with assignment Question 1[38 marks] 1.1 [11] The Mendelian theory states that the number of a certain type of peas falling into the classifications round and yellow, wrinkled and yellow, round and green, and wrinkled and green should be in the ratio 9:3:3:1. Suppose that 100 such peas revealed