KASNEB ATD Business Mathematics and Statistics Revision Kits

Description

KASNEB ATD Business Mathematics and Statistics Revision Kits

CONTENT
7.1Equations
 Linear equations; solving and graphs
 Quadratic equations: solving and graphs
 Differentiation
 Simultaneous equations; solving
 Break-even analysis
 Total revenue, total cost and profit equations; application of errors
7.2 Matrices
 Introduction; order, types
 Addition, subtraction and multiplication
 Determinants of 2×2 matrices
 Inverses of 2×2 matrices
 Application of matrices to business problems
7.3 Commercial mathematics
 Buying and selling; discounts, profit and loss, margins and mark-ups
 Commissions and salaries: piece and hourly rates, gross and net pay, PAYE
 Bills calculations; water and electricity /
 Simple and compound interest
 Depreciation and appreciation of assets
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 Hire purchase
 Foreign exchange
7.4 Elementary statistics
 Introduction: definitions and branches of statistics^
 Methods of data collection: primary and secondary data./
 Sampling techniques J
 Presentation of data:
 Tables
 Diagrams: bar charts and pie charts
 Graphs: Basic time series graphs, Z-charts, Lorenz curves and semi-log graphs
 Frequency distribution tables
 Histogram and frequency polygons’
 Cumulative frequency curve (ogive) and its application
7.5 Descriptive statistics
 Measures of central tendency:
 Mean: arithmetic mean, weighted arithmetic mean, geometric mean and harmonic mean
 Mode
 Median
 Measures of dispersion: range, quartile, deciles, percentiles, mean deviation, standard deviation
and coefficient of variation
 Measures of skewness and kurtosis excluding computation of the coefficients
7.6 Set theory
 Introduction to set theory
 Types of sets: universal, empty/null. Sublets, finite and infinite
 Operation of sets: unions, intersecting, complements and set difference
 Venn diagrams
7.7 Basic probability theory
 Introduction to probability: definitions, events, outcomes, sample space
 Types of events: simple, compound, independent, mutually exclusive,
 Mutually inclusive, dependent events
 Rules of probability: additive and multiplicative rules
 Baye‘s Theorem
 Elementary probability trees
7.8 Index numbers
 Construction of index numbers Purpose of index numbers
 Simple index numbers; fixed base method and chain base method
 Consumer Price Index (CPI)
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 Weighted index numbers; Laspeyre‘s, Paasche’s, Fisher‘s ideal and Marshall- Edgeworth‘s
methods (both price and quantity index numbers)
 Limitations of index numbers
 Emerging issues and trends
7.9 Emerging trends