Contents

1. Data Condensation and Graphical Methods

1.1 Introduction

1.2 Attributes and variables

1.3 Classification

1.4 Frequency distribution

1.5 Cumulative frequency distribution

1.6 Relative frequency distribution

1.7 Stem and leaf chart

1.8 Diagrams

2. Measures of Central Tendency

2.1 Introduction

2.2 Objectives and requisites of a good average

2.3 Arithmetic mean

2.4 Weighted arithmetic mean

2.5 Median

2.6 Mode

2.7 Appropriate choice of an average

2.8 Partition values

2.9 Percentile rank

2.10 Box plot

3. Measures of Dispersion

3.1 Introduction

3.2 Requisites for an ideal measure of dispersion

3.3 Absolute and relative measures of dispersion

3.4 Range

3.5 Quartile deviation

3.6 Variance and standard deviation

3.7 Coefficient of variation

4. Moments

4.1 Introduction

4.2 Raw moments (About Origin)

4.3 Central moments

4.4 Moments about an arbitrary value ‘A’

4.5 Relation between raw and central moments

4.6 Properties of central moments

5. Measures of Skewness and Kurtosis

5.1 Introduction

5.2 Skewness

5.3 Measures of skewness

5.4 Kurtosis

5.5 Pearsoian coefficients to measure skewness and kurtosis based on moments

5.6 Choice of a measure of skewness and kurtosis

6. Correlation (For Ungrouped Data)

6.1 Introduction

6.2 Bivariate data

6.3 Correlation

6.4 Positive and negative correlation

6.5 Methods of studying correlation

6.6 Scatter diagram method

6.7 Covariance

6.8 Karl pearson’s coefficient of correlation

6.9 Rank correlation

7. Regression (For Ungrouped Data)

7.1 Introduction

7.2 Lines of regression

7.3 Properties of regression coefficient

7.4 Angle between the two lines of regression

7.5 Non-linear regression

7.6 Residuals

7.7 Coefficient of determination

8. Multiple and Partial Regression and Correlation (For Trivariate Data)

8.1 Introduction

8.2 Notation

8.3 Yule’s notation

8.4 Plane of regression

8.5 Interpretation of partial regression coefficients

8.6 Multiple correlation coefficient

8.7 Partial correlation coefficient

9. Time Series

9.1 Introduction

9.2 Utility of time series

9.3 Components of time series

9.4 Mathematical models of time series

9.5 Methods of estimating trend

9.6 Measurement of seasonal variations

9.7 Simple time series models

10. Statistical Quality Control (SQC)

10.1 Introduction

10.2 Types of quality measures

10.3 Causes of variation in the quality

10.4 Basis of control charts

10.5 Subgrouping

10.6 Two types of control charts

10.7 Control charts for variables

10.8 Specification limits

10.9 Natural tolerance limits

10.10 Process capability

10.11 Seven basic tools of statistical process control