Statistics for Computer Programmers Week 1
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Questions and Answers

What is a census?

  • A subset of a population selected for study.
  • A method for summarizing and interpreting data.
  • The process of collecting a random sample.
  • The collection of information from every member of a population. (correct)
  • Which of the following best describes a 'variable' in a data analysis context?

  • A characteristic that remains constant across all elements.
  • The procedure used to select data for study.
  • A specific measurement taken from an element.
  • A characteristic that may differ from one element to another. (correct)
  • In a study, the 'elements' are best defined as:

  • The different methods used for data analysis.
  • The characteristics being measured in the study.
  • The specific questions asked during data collection.
  • The entities on which data is collected. (correct)
  • What is the 'observation' in data analysis?

    <p>The set of measurements recorded for one element.</p> Signup and view all the answers

    If a data set contains 10 elements and each element has 4 variables, how many total data values are there?

    <p>40</p> Signup and view all the answers

    Which scenario exemplifies a population in a statistical study?

    <p>All the houses on a specific street.</p> Signup and view all the answers

    Which of these is NOT typically a reason that a census might be impractical?

    <p>Lack of interest in the population.</p> Signup and view all the answers

    How are data sets typically described?

    <p>Facts, figures, or measurements collected during the study.</p> Signup and view all the answers

    What is one primary function of a histogram?

    <p>To show the frequency of classes using bar heights</p> Signup and view all the answers

    How does a frequency polygon differ from a histogram?

    <p>It connects midpoints of class intervals with a line</p> Signup and view all the answers

    In the histogram example provided, which class interval has the highest frequency?

    <p>420-450</p> Signup and view all the answers

    What do the heights of the bars in a histogram represent?

    <p>The frequency of each class interval</p> Signup and view all the answers

    What must be true for a histogram to be considered correctly formatted?

    <p>Classes should be marked on the horizontal axis</p> Signup and view all the answers

    What percentage of students at De Anza College were Asian in Fall Term 2007?

    <p>36.1%</p> Signup and view all the answers

    Which ethnic group had the least representation at De Anza College in Fall Term 2007?

    <p>Native American</p> Signup and view all the answers

    How many students worked for 5 hours according to the frequency table?

    <p>6 students</p> Signup and view all the answers

    What is the total percentage of Hispanic and Black students at De Anza College?

    <p>22.9%</p> Signup and view all the answers

    How many total students were included in the sample for the work hours frequency table?

    <p>20</p> Signup and view all the answers

    Which ethnic group comprised 5.3% of the student population at De Anza College in Fall Term 2007?

    <p>Filipino</p> Signup and view all the answers

    What was the total number of students recorded in the census at De Anza College?

    <p>24,382</p> Signup and view all the answers

    Which of the following groups had a frequency of 3 in the work hours table?

    <p>Students working 4 hours</p> Signup and view all the answers

    What type of data is represented by the observations of a single variable?

    <p>Univariate data</p> Signup and view all the answers

    Which of the following exemplifies bivariate data?

    <p>Heights and weights of basketball players</p> Signup and view all the answers

    In a multivariate data set, which of the following statements is true?

    <p>It can have both numerical and categorical variables.</p> Signup and view all the answers

    What is the primary purpose of descriptive statistics?

    <p>To summarize and describe features of collected data.</p> Signup and view all the answers

    Which of the following is an example of univariate data?

    <p>The braking distance of several cars under specific conditions</p> Signup and view all the answers

    If an engineer records the lifetime of a component and the reason for its failure, what type of data is this?

    <p>Bivariate data</p> Signup and view all the answers

    Which example represents categorical data?

    <p>The type of vehicle driven by survey participants</p> Signup and view all the answers

    What does a bivariate dataset typically consist of?

    <p>Pairs of observations on two variables</p> Signup and view all the answers

    What is one primary goal of using experimental design in psychological research?

    <p>To understand how conformity affects decision-making.</p> Signup and view all the answers

    In a manufacturing environment, what is a common goal of experimental design?

    <p>To improve product strength and optimize manufacturing settings.</p> Signup and view all the answers

    Which aspect of experimental design is crucial for ensuring generalizability to the real world?

    <p>Producing conclusions that can be generalized.</p> Signup and view all the answers

    What does maximizing data reliability in experimental design aim to achieve?

    <p>To ensure that results can be consistently replicated.</p> Signup and view all the answers

    What is a key component for developing an effective experimental design?

    <p>Developing experimental treatments and preplanning.</p> Signup and view all the answers

    Which of the following factors is considered when trying to isolate a factor's true effect in an experiment?

    <p>Various confounders.</p> Signup and view all the answers

    In a medical experiment, what aspect might researchers be primarily focused on?

    <p>Quantifying the effect of a medicine and finding optimal dosage.</p> Signup and view all the answers

    What is a crucial aspect that needs to be managed to ensure a trustworthy experimental design?

    <p>Ensuring data validity and reliability.</p> Signup and view all the answers

    What is the relative frequency of the data value '5' in the table?

    <p>0.30</p> Signup and view all the answers

    If the total number of students in the sample was 40, what would the relative frequency of the data value '2' be?

    <p>0.075</p> Signup and view all the answers

    What is the sum of the frequencies in the table?

    <p>20</p> Signup and view all the answers

    If the relative frequency of a data value is 0.10, what is the frequency of that data value?

    <p>2</p> Signup and view all the answers

    Why do relative frequencies add up to 1?

    <p>Because the relative frequency is a ratio, and the sum of all ratios for all data values represents the whole dataset.</p> Signup and view all the answers

    Study Notes

    Course Information

    • Course title: Statistics for Computer Programmers
    • Code: MATH1236
    • Instructor's name: Harpreet Kaur
    • Session Number: 1

    Course Information

    • Course Code: MATH1236
    • Course Title: Statistics for Computer Programming
    • Lesson week: 1

    Course Information

    • Course Title: Statistics for Computer Programmers
    • Course Code: MATH1236
    • Delivery Type: Onsite
    • Program Coordinator: Ridhi Patel
    • Program Coordinator Contact: [email protected]
    • Credit Value: 3
    • Developed by: Harpreet Kaur
    • Approved by: Subagini Manivannan
    • Start Date: 12-Dec-2024
    • End Date: 19-April-2024
    • Days: Friday
    • Start Time: 18:30:00
    • End Time: 21:30:00

    Course Information

    • Week 1: Familiarize with the course outline and TLP, introduction to learning objectives and outcome, familiarize with evaluation methods and weightage. Statistics, Type of Statistics, Level of Measurement, Design Experiment, Pictorial representation.
    • Assessments and Activities: Lecture, ppt, and practice questions
    • Learning Objectives: Demonstrate knowledge of statistical language. Categorize data by type and level of measurement. Design experiments without computer software, organize and represent data with frequency distributions.

    Learning Outcomes

    • Present data with appropriate statistical language, both with and without computer software
    • Analyze univariate data
    • Analyze bivariate data, and interpret the linear relationship between the two variables
    • Determine probabilities by use of classical and empirical probabilities
    • Evaluate probabilities and statistics for discrete probability distribution
    • Perform statistical calculations by use of the normal distribution
    • Predict confidence intervals and required sample sizes

    Evaluations and Weights

    • Quizzes: 12.00%
    • Tests: 88.00%
    • Total: 100.00%

    Learning Objectives and Outcomes

    • Present data with appropriate statistical language, both with and without computer software
    • Analyze univariate data
    • Analyze bivariate data, and interpret the linear relationship between the two variables
    • Learning Objectives: Demonstrate knowledge of statistical language, categorize data by type and level of measurement, design experiments, organize and represent data with frequency distributions, histograms, stem and leaf plots, summarize data, apply empirical rule for a normal distribution, use z scores and quartiles
    • Determine probabilities by use of classical and empirical probabilities, evaluate probabilities and statistics for discrete probability distribution, perform statistical calculations by use of the normal distribution, and predict confidence intervals and required sample sizes
      • Establish sample spaces, calculate probabilities of compound events, and conditional probability
      • Construct probability distributions, compute mean, variance, standard deviation for discrete random variable, verify calculations, compute area under standard normal dist for z-value, and compute probabilities by use of standard normal variable transformation
      • Construct confidence interval for population mean, calculate sample size for confidence interval, and construct confidence interval for a small sample

    TLP

    • Week 1: Familiarize with Course Outline and TLP, Introduction to Learning Objectives and Outcomes, Familiarize with Evaluation Methods and Weightage
    • Week 2: Graphing, Frequency Distributions, Stem-and-Leaf Plots, Measures of Location, Measures of Dispersion, Measure of Relative Standing, Using Excel for calculations
    • Week 3: Measures of Position and Relative Standing, Empirical Rule, Z-Scores, Using Excel for Distribution and Measures of Position, Introduction of R-Studio
    • Week 4: Test 1, based on week 1,2 and 3 contents
    • Week 5: Descriptive Statistics using R-Studio, Correlation Coefficient, Data Analysis, scatter plot for bivariate data using Excel for correlation coefficients
    • Week 6: Least Square Regression Line, Coefficient of determination, distribution, measures of correlation and regression line, predictions using R-Studio
    • Week 7: Test-2 as Midterms, based on W-5 and W-6 contents
    • Week 8: Reading Week (no classes)
    • Week 9: Probability, rule of addition and multiplication, conditional probability
    • Week 10: Discrete distribution, mean, variance, standard deviation, binomial probability, calculations using R-studio
    • Week 11: Standard Normal Distribution, variable transformation, extrapolation of data
    • Week 12: Test 3, based on week 9 and 10 contents
    • Week 13: Confidence interval for small and large samples, standard deviation, population calculation without or with Excel and R-studio
    • Week 14: Confidence interval for small and large sample with and without standard deviation and for population with Excel and R-Studio
    • Week 15: Test 4, based on week 11, 13 and 14 contents

    Evaluation Details

    • Quiz 1 (6%): Week 6
    • Quiz 2 (6%): Week 11
    • Test 1 (22%): Week 4
    • Test 2 (22%): Week 7
    • Test 3 (22%): Week 12
    • Test 4 (22%): Week 15
    • Total: 100%

    Software Requirement

    • Microsoft Excel and R-Studio
    • Statistical data input and result interpretation

    Data Sets, Elements, Variables, and Observations

    • Data are collected facts and figures
    • Elements - entities on which data are collected
    • Variables - characteristic of interest
    • Observation - set of measurements obtained for an element
    • Data set - collection of data, observations for a study
    • Variables examples - stock exchange, annual sales, share

    Levels of Measurement

    • Nominal - labels or names
    • Ordinal - order/rank is meaningful
    • Interval - interval between observations is meaningful, fixed unit of measure
    • Ratio - interval data and ratio of two values is meaningful, zero value indicates absence

    Categorical and Quantitative Data

    • Categorical - labels or names
    • Quantitative – numerical and measurable

    Univariate Data

    • Observations on a single variable

    Bivariate Data

    • Observations on two variables

    Multivariate Data

    • Observations on more than one variable

    Branches of Statistics

    • Descriptive statistics - summarizing data
    • Inferential statistics - generalizing from a sample to a population

    Experimental Design

    • Detailed plan to collect data that identifies causal relationships
    • Controlled conditions to understand causal relationships between variables

    Pictorial and Tabular Methods in Descriptive Statistics

    • Visual (bar graphs, scatter diagrams) and numerical summary measures (mean, standard deviations, correlations)

    Frequency

    • Number of times a value occurs in the data
    • Cumulative relative frequency - accumulation of relative frequencies, add previous relative frequencies to current row values

    Course Topics

    • Familiarize with LMS Canvas features
    • Familiarize with the topics and their learning objectives and outcomes
    • Familiarize with evaluation methods and weightage
    • Software required, including Statistics, Type of Statistics, Level of Measurement, Design Experiment, Pictorial Representation and Constructing Frequency Distributions

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    Description

    This quiz covers the introductory concepts of the Statistics for Computer Programmers course. Students will familiarize themselves with the course outline, learning objectives, evaluation methods, and foundational statistics concepts. Key topics include types of statistics, levels of measurement, and experimental design.

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