954 Math T [PPU_STPM] Semester 3 Topics-Syllabus

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LATEST SYLLABUS for STPM BAHARU - 954 MATHS T
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  [PPU] Semester 3 Topics-Syllabus   Sharing Agent: LRT Documents 954 MATHEMATICS T  Sources from:    THIRD TERM: STATISTICS TopicTeaching  Period  Learning Outcome 13 Data Description 14 Candidates should be able to:   ( a ) identify discrete, continuous, ungrouped andgrouped data;( b ) construct and interpret stem-and-leaf diagrams, box-and-whisker plots, histograms andcumulative frequency curves;( c ) state the mode and range of ungrouped data;( d  ) determine the median and interquartile rangeof ungrouped and grouped data;( e ) calculate the mean and standard deviation of ungrouped and grouped data, from raw dataand from given totals such as 1 ( ) nii  x a    and 1 2 ( ) nii  x a    ;(  f  ) select and use the appropriate measures of central tendency and measures of dispersion;(  g  ) calculate the Pearson coefficient of skewness;( h ) describe the shape of a data distribution. 14 Probability 14 Candidates should be able to:( a ) apply the addition principle and themultiplication principle;( b ) use the formulae for combinations and permutations in simple cases;( c ) identify a sample space, and calculate the probability of an event;( d  ) identify complementary, exhaustive andmutually exclusive events;( e ) use the formulaP(  A       B ) = P(  A ) + P(  B )  P(  A     B );(  f  ) calculate conditional probabilities, and identifyindependent events;(  g  ) use the formulaeP(  A     B ) = P(  A )  P(  B   |    A ) = P(  B )  P(  A   |    B );( h ) use the rule of total probability. Sharing Agent: LRT Documents Page 1 of 4    TopicTeaching  Period  Learning Outcome 15 Probability Distributions 26 Candidates should be able to:   15.1 Discrete randomvariables   6   ( a ) identify discrete random variables;( b ) construct a probability distribution table for adiscrete random variable;( c ) use the probability function and cumulativedistribution function of a discrete randomvariable;( d  ) calculate the mean and variance of a discreterandom variable;15.2 Continuous randomvariables6 ( e ) identify continuous random variables;(  f  ) relate the probability density function andcumulative distribution function of acontinuous random variable;(  g  ) use the probability density function andcumulative distribution function of acontinuous random variable;( h ) calculate the mean and variance of acontinuous random variable;15.3 Binomial distribution 4 ( i ) use the probability function of a binomialdistribution, and find its mean and variance;(  j ) use the binomial distribution as a model for solving problems related to science andtechnology;15.4 Poisson distribution 4 ( k  ) use the probability function of a Poissondistribution, and identify its mean andvariance;( l  ) use the Poisson distribution as a model for solving problems related to science andtechnology;15.5 Normal distribution 6 ( m ) identify the general features of a normaldistribution, in relation to its mean andstandard deviation;( n ) standardise a normal random variable and usethe normal distribution tables;   ( o ) use the normal distribution as a model for solving problems related to science andtechnology;(  p ) use the normal distribution, with continuitycorrection, as an approximation to the binomial distribution, where appropriate. Sharing Agent: LRT Documents Page 2 of 4    TopicTeaching  Period  Learning Outcome 16 Sampling and Estimation 26 Candidates should be able to:   16.1 Sampling   14   ( a ) distinguish between a population and a sample,and between a parameter and a statistic;( b ) identify a random sample;( c ) identify the sampling distribution of a statistic;( d  ) determine the mean and standard deviation of the sample mean;( e ) use the result that  X  has a normal distribution if   X  has a normal distribution;(  f  ) use the central limit theorem;(  g  ) determine the mean and standard deviation of the sample proportion;( h ) use the approximate normality of the sample proportion for a sufficiently large sample size;16.2 Estimation 12 ( i ) calculate unbiased estimates for the populationmean and population variance;(  j ) calculate an unbiased estimate for the population proportion;( k  ) determine and interpret a confidence intervalfor the population mean based on a samplefrom a normally distributed population withknown variance;( l  ) determine and interpret a confidence intervalfor the population mean based on a largesample;( m ) find the sample size for the estimation of  population mean;( n ) determine and interpret a confidence intervalfor the population proportion based on a largesample;( o ) find the sample size for the estimation of  population proportion. Sharing Agent: LRT Documents Page 3 of 4
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