6 Statistics and probability
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6.1 Graphical representation of data
6.1.ADifferent methods of presenting data Pictograms, bar
use different methods of presenting data Pictograms, bar charts and pie charts, and only two-way tables
6.1.BTabulating data for statistical diagrams
use appropriate methods of tabulation to enable the construction of statistical diagrams
6.1.CStatistical diagrams
interpret statistical diagrams
6.2 Statistical measures
6.2.AThe concept of average
Understand averages for data presented in lists or tables.
6.2.BThe mean, median, mode and range for a discrete data
calculate the mean, median, mode and range for a discrete data set Includes simple problems using these measures
6.2.CEstimating the mean from grouped data
Calculate an estimate of the mean from grouped data.
6.2.DThe modal class for grouped data
identify the modal class for grouped data
6.3 Probability
6.3.AProbability terminology
Use probability language including outcomes, equal likelihood, events and randomness.
6.3.BThe probability scale
understand and use the probability scale P(certainty) = 1 P(impossibility) = 0
6.3.CTheoretical probability
understand and use estimates or measures of probability from theoretical models
6.3.DProbabilities from a Venn diagram
find probabilities from a Venn diagram
6.3.ESample spaces and events
Understand sample spaces and events, and determine event probabilities from a sample space.
6.3.FSystematic outcome lists for successive events
List outcomes systematically for single events and for two successive events.
6.3.GProbabilities from previously collected data
estimate probabilities from previously collected data
6.3.HComplementary events
calculate the probability of the complement of an event using P(A′) = 1 − P(A)
6.3.IThe addition rule of probability for mutually exclusive
use the addition rule of probability for mutually exclusive events P(Either A or B occurring) = P(A) + P(B) when A and B are mutually exclusive
6.3.JExpected frequency
understand and use the term ‘expected frequency’ Determine an estimate of the number of times an event with a probability of 0.4 will happen over 300 tries