Research Methodology & Statistics - Unit 5

Collection, Tabulation and Presentation of Data, Measures of Central Tendency, Dispersion, Moments, Skewness, Kurtosis, Correlation, Regression, Sampling Theory and Test of Significance.

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Unit 5 Overview

This unit introduces statistical techniques used in research methodology. Students learn data collection, data presentation, statistical measures, correlation, regression and hypothesis testing.

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Data Analysis

Learn collection, classification, tabulation and presentation of data.

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Statistical Measures

Understand mean, median, mode, dispersion, skewness and kurtosis.

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Research Testing

Study sampling theory, correlation, regression and significance testing.

Unit 5 Topics Covered

Collection of Data

Methods used to gather information from primary and secondary sources.

Tabulation of Data

Systematic arrangement of collected data into tables.

Presentation of Data

Displaying data using tables, charts, graphs and diagrams.

Measures of Central Tendency

Mean, Median and Mode used to represent the center value of data.

Measures of Dispersion

Range, Variance and Standard Deviation used to measure spread of data.

Moments

Statistical measures used to describe distribution characteristics.

Skewness

Measures asymmetry in a frequency distribution.

Kurtosis

Measures the peakedness or flatness of a distribution.

Correlation

Measures the degree of relationship between two variables.

Regression

Used to predict one variable based on another variable.

Sampling Theory

Selection of a representative sample from a population.

Test of Significance

Statistical test used to determine whether results are meaningful.

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Detailed Notes

Complete Unit 5 Notes.

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Important Questions

Most expected RGPV examination questions.

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PYQ Analysis

Previous year questions and trends.

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Important Questions

  1. Explain collection and presentation of data.
  2. What is tabulation? Explain its advantages.
  3. Explain measures of central tendency.
  4. Differentiate Mean, Median and Mode.
  5. Explain measures of dispersion.
  6. Explain variance and standard deviation.
  7. What are moments in statistics?
  8. Explain skewness with suitable examples.
  9. Explain kurtosis and its types.
  10. What is correlation? Explain types of correlation.
  11. Explain Karl Pearson’s coefficient of correlation.
  12. Explain regression analysis.
  13. Differentiate correlation and regression.
  14. Explain sampling theory.
  15. What is random sampling?
  16. Explain hypothesis testing.
  17. What is test of significance?
  18. Explain null hypothesis and alternative hypothesis.
  19. Write short note on statistical data analysis.
  20. Discuss importance of statistics in research methodology.

PYQ Analysis Table

Topic Frequency Importance
Central Tendency Very High ⭐⭐⭐⭐⭐
Dispersion Very High ⭐⭐⭐⭐⭐
Correlation Very High ⭐⭐⭐⭐⭐
Regression High ⭐⭐⭐⭐
Sampling Theory High ⭐⭐⭐⭐
Test of Significance Very High ⭐⭐⭐⭐⭐
Skewness & Kurtosis Medium ⭐⭐⭐

FAQs

What is Central Tendency?

Central tendency represents the central value of a dataset using mean, median and mode.

What is Dispersion?

Dispersion measures how data values spread around the central value.

What is Correlation?

Correlation measures the relationship between two variables.

What is Regression?

Regression predicts the value of one variable using another variable.

What is Sampling Theory?

Sampling theory explains how samples are selected from populations.

What is Test of Significance?

It determines whether observed results are statistically meaningful.