## Maths Grade 12 - Mathematics of Data Management

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#### Example of Study Topics:

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# TOPIC TITLE +/-
1 Study Plan Study plan - Grade 12 - Mathematics of Data Management Info Go

Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.

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2 Probability Simple events Info Go

Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)

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3 Probability Rolling a pair of dice Info Go

Objective: To find the probability of selected events when two dice are rolled

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4 Probability Experimental probability Info Go

Objective: To find the experimental probabilities of an experimental trial

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5 Probability Experimental probability Info Go

Objective: To use tree diagrams to determine sample spaces and compound probabilities

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6 Probability Tree diagrams: depending on previous outcomes Info Go

Objective: To use tree diagrams where the probability is dependent on previous outcomes

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7 Probability The Complementary Result Info Go

Objective: To calculate the probability of complementary events using P(E) = 1 - P(not E)

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8 Probability P[A or B] When A and B are NOT mutually exclusive Info Go

Objective: To calculate the probability of non exclusive events using P(A or B) = P(A)+P(B)

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9 Statistics part 1 Frequency distribution table Info Go

Objective: To construct a frequency distribution table for raw data and to interpret the table

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10 Statistics part 1 Frequency histograms and polygons Info Go

Objective: To construct and interpret frequency histograms and polygons

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11 Statistics part 1 Relative Frequency Info Go

Objective: To extend the frequency distribution table to include a relative frequency column

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12 Statistics part 1 The Range Info Go

Objective: To determine the range of data in either raw form or in a frequency distribution table

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13 Statistics part 1 The Mode Info Go

Objective: To find the mode from raw data and from a frequency distribution table

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14 Statistics part 1 The Mean Info Go

Objective: To calculate means from raw data and from a frequency table using an fx column

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15 Statistics part 1 The Median Info Go

Objective: To determine the median of a set of raw scores

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16 Statistics part 1 Cumulative Frequency Info Go

Objective: To construct cumulative frequency columns, histograms and polygons

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17 Statistics part 1 Calculating the Mean from a Frequency Distribution Info Go

Objective: To determine averages (mean, median and mode) from cumulative frequency polygons

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18 Statistics part 2 Calculating mean, mode and median from grouped data Info Go

Objective: To identify class centres, get frequency counts and determine mean, mode and median values

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19 Statistics part 2 Using the Calculator for Statistics Info Go

Objective: To find a mean, using a data set or a frequency distribution table and calculator.

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20 Statistics part 2 Measures of Spread Info Go

Objective: To determine a range and use it in decision making

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21 Statistics part 2 Standard deviation applications Info Go

Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator

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22 Statistics part 2 Applications of Standard Deviation Info Go

Objective: To use standard deviation as a measure of deviation from a mean

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23 Statistics part 2 The Normal Distribution Info Go

Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges

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24 Statistics part 2 Measures of Spread: the interquartile range Info Go

Objective: To find the upper and lower quartiles and the interquartile range

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25 Statistics part 1 Stem and Leaf Plots along with Box and Whisker Plots Info Go

Objective: To derive statistics from data represented as stem & leaf or box & whisker plots

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26 Statistics part 1 The Scatter plot Info Go

Objective: To make a valid interpretation of data presented as a scatter plot

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27 Probability The Binomial Theorem and Binomial Coefficients Info Go

Objective: To calculate binomial coefficients and expand binomial powers.

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28 Probability Binomial probabilities using the Binomial Theorem Info Go

Objective: To calculate the binomial probability of a given number of successful trials

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29 Probability Counting techniques and ordered selections Info Go

Objective: To use counting techniques in probability

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30 Probability Unordered selections - combinations Info Go

Objective: To use the nCr formula to solve problems where unordered selections occur

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31 Exam Exam - Grade 12 - Mathematics of Data Management Info Go

Objective: Exam

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