1. Introduction - Week wise of the course Flashcards

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1
Q

Introduction

A
  1. Beginner-focused.
  2. Create, handle, and summarize data sets using graphics and numerics.
  3. Teaches probability for managing uncertainty.
  4. Covers random variables, Binomial and Normal distributions.
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2
Q

Course Objectives

A
  1. Create, download, and manipulate datasets.
  2. Present and describe data with methods.
  3. Select appropriate graphics for a scenario.
  4. Summarize data with measures.
  5. Use suitable numerical summaries.
  6. Understand uncertainty with probability.
  7. Comprehend random experiment, events, probability, and conditional probability.
  8. Use discrete (e.g., Binomial) and continuous (e.g., Normal) random variables.
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3
Q

Road Map

A

Wk 1-4: Data: Graphics & Numerics.
Wk 5-7: Probability: Basics & Conditional.
Wk 8-12: Random Variables: Discrete [Binomial] & Continuous [Normal].

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4
Q

Week-1

Introduction

A
  1. Learn data collection and identify variables & cases.
  2. Categorize data as qualitative or quantitative.
  3. Understand cross-sectional vs. time-series data.
  4. Create, download, and manipulate datasets; work on subsets.
  5. Formulate answerable questions from data.
  6. Differentiate between sample and population.
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5
Q

Questions

For Week-2

A
  1. Gender diversity: Proportion of female and male students?
  2. Count of students by board of origin?
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6
Q

Week 2

Describing categorical data - one variable

A
  1. Organize and graph categorical data.
  2. Create frequency tables from tabulated data.
  3. Choose suitable graphics for displaying data.
  4. Recognize and address misleading graphs.
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7
Q

Questions

For week-3

A
  1. Average marks for students in Class 10/Class 12?
  2. Degree of variability in obtained marks?
  3. Minimum and maximum marks obtained?
  4. Average age of admitted students?
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8
Q

Week 3

Describing numerical data - one variable

A
  1. Visualize numerical data; interpret distribution shape.
  2. Compute and interpret numerical summaries
  3. Central tendency: mean, median, mode.
  4. Dispersion: range, variance, standard deviation.
  5. Percentiles, Interquartile Range (IQR).
  6. Compute and interpret the five-number summary.
  7. Use histogram and box plot to detect outliers in datasets.
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9
Q

Questions

For Week-4

A
  1. Proportion of women vs. men from state board?
  2. Correlation between Class 10 and Class 12 marks?
  3. Average marks for State board vs. other boards?
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10
Q

Week 4

Association between two variables

A
  1. Two-way contingency tables to understand association between categorical variables.
  2. Correlation between numerical variables through scatter plot; interpret correlation.
  3. Relationship between categorical and numerical variables.
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11
Q

Questions

For Week 5

A
  1. Number of ways to form a committee of 3 from 10 people?
  2. Number of ways to form a committee of 3 (President, Vice-President, and Secretary) from 10 people?
  3. Basic principle of counting.
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12
Q

Week 5

Permutations and combinations

A
  1. Basic principle of counting.
  2. Factorials.
  3. Permutations vs. combinations.
  4. Applications of permutations and combinations.
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13
Q

Questions

For week 6-7

A
  1. Probability of getting a top grade.
  2. Conditional probability of getting a top grade given a specific board.
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14
Q

Week 6-7

Probability

A
  1. Uncertainty and random experiment.
  2. Sample spaces and events.
  3. Simple and compound events.
  4. Laws of probability.
  5. Probability calculation and tree diagrams.
  6. Conditional probability.
  7. Independent and dependent events.
  8. Applications of probability.
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15
Q

Questions

For week 8-9

A

Suppose one of the questions asked in the questionnaire asked students to report the number of siblings then have.
1. Chance that a randomly selected student has 2 siblings?

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16
Q

Week 8-9

Discrete random variables

A
  1. Random variable definition.
  2. Types of random variables: discrete and continuous.
  3. Probability mass function, graph, and examples.
  4. Cumulative distribution function, graphs, and examples.
  5. Expectation and variance calculation for a random variable.
17
Q

Questions

For week 10

A

An MCQ exam has 4 possible answers for each of 25 questions:
1. What is the chance of getting exactly 5 questions correct just by guessing?
2. What is the chance of getting more than 5 questions correct just by guessing?

18
Q

Week 10

Binomial distribution

A
  1. Binomial distribution Basics
  2. Application of binomial distribution.
19
Q

Questions

For Week 11-12

A
  1. the student requires more than 45 minutes to complete the test?
  2. The student requires between 30 to 45 minutes to complete the test?
20
Q

Week 11-12

Continuous distribution and Normal Distribution

A
  1. Probability density function
  2. Empirical rule of Normal distribution
  3. Standard Normal distribution
  4. Application of Normal distributions.