Quantitative Techniques 2023

Unit I:
Analytical geometry- Distance between two points in a plane-slope
of a straight line – equation of straight line – point of intersection of
two lines – applications (1) demand and supply (2) cost-output (3)
break-even analysis
Unit II:
Matrices – meaning – types – algebra of matrices – addition and

subtraction – scalar multiplication – Multiplication of matrices-
transpose of a matrix –Determinant – minors and cofactors –inverse

of a matrix – solving simultaneous linear equations using matrix
method.
Unit III: Measures of Central Tendency – Mean – Median –
Mode – Geometric Mean .Measures of Dispersion-Range – Quartile
Deviation – Mean Deviation – Standard Deviation Co-efficient of
Variation. Skewness – methods of studying Skewness – Karl
Pearson’s Co-efficient of Skewness – Bowley’s co-efficient of
Skewness.
Unit IV:

Correlation – meaning – types-scatter diagram – Karl Pearson’s Co-
efficient of Correlation- Rank correlation – Concurrent deviation

method. Regression analysis – uses-
Regression line – Regression equations – least square method –

deviations taken from actual mean and assumed mean method.
Unit V:
Index numbers – meaning – types – its problems – Methods of
constructing index numbers – unweighted and weighted indices –
Index number tests – Consumer price index numbers – Analysis of
time series – Meaning – Importance – Components of time series –
Secular trend, seasonal, cyclical and irregular variations –
Measurement of trend – Graphic method-Semi average method –
Moving average method – Method of least square.