Syllabus

BIT · Semester II

Basic Statistics syllabus

Official TU syllabus for Basic Statistics (STA154): 9 units, 63 topics. Every unit links to its notes and solved questions.

1

Introduction to Statistics and Data

10 Q
  • Definition and role of statistics in IT
  • Descriptive versus inferential statistics
  • Primary and secondary data sources
  • Measurement scales and types
  • Population and sample concepts
  • Parameter and statistic distinction
2

Data Collection and Sampling Methods

3 Q
  • Census and sample surveys
  • Sampling techniques and methods
  • Stratified sampling
  • Cluster sampling
  • Sampling error and non-sampling error
  • Sample size determination
3

Data Presentation and Visualization

11 Q
  • Frequency distributions and tables
  • Histogram construction
  • Frequency polygon and frequency curve
  • Bar diagrams and Pareto diagrams
  • Pie charts
  • Box and whisker plots
  • Five number summary
4

Measures of Central Tendency and Dispersion

6 Q
  • Mean, median, and mode
  • Choice of appropriate central tendency measure
  • Range and interquartile range
  • Variance and standard deviation
  • Coefficient of variation
  • Methods of measuring dispersion
  • Comparison of consistency between datasets
5

Moments, Skewness, and Kurtosis

6 Q
  • Central moments and raw moments
  • Computation of moments from data
  • Coefficient of skewness
  • Mesokurtic, platykurtic, and leptokurtic distributions
  • Coefficient of kurtosis
  • Interpretation of skewness and kurtosis
6

Probability and Probability Distributions

27 Q
  • Basic probability concepts and rules
  • Conditional probability and Bayes theorem
  • Random variables and probability functions
  • Discrete probability distributions
  • Binomial distribution
  • Poisson distribution
  • Continuous probability distributions
  • Normal distribution properties and applications
  • Standard normal distribution and Z-scores
7

Sampling Distributions and Estimation

7 Q
  • Sampling distribution of mean
  • Central limit theorem
  • Point estimation
  • Interval estimation and confidence intervals
  • Confidence interval for population mean
  • Confidence interval for population proportion
  • Interpretation of confidence intervals
8

Correlation and Regression Analysis

12 Q
  • Correlation coefficient definition and properties
  • Karl Pearson correlation coefficient
  • Spearman rank correlation coefficient
  • Interpretation of correlation results
  • Simple linear regression model
  • Regression equation fitting
  • Regression coefficient interpretation
  • Estimation using regression equations
  • Assumptions of linear regression
9

Statistical Hypothesis Testing and Applications

2 Q
  • Hypothesis testing concepts
  • Type I and Type II errors
  • Test selection based on measurement scale
  • Application of statistics in IT systems
  • Quality control and reliability analysis
  • Expected value and decision making

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