6 Statistics and probability
- Syllabus
- 2017
- Section
- 6
- Level
- Higher
Exam analysis
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In this section
Topic 6.1
6.1 Graphical representation of data
Objectives in this topic
6.1.A Different 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.B Tabulating data for statistical diagrams
use appropriate methods of tabulation to enable the construction of statistical diagrams
6.1.C Statistical diagrams
interpret statistical diagrams
6.1.HA Histograms
construct and interpret histograms For continuous variables with unequal class intervals
6.1.HB Cumulative frequency diagrams from tabulated data
construct cumulative frequency diagrams from tabulated data
6.1.HC Cumulative frequency diagrams
use cumulative frequency diagrams
Topic 6.2
6.2 Statistical measures
Objectives in this topic
6.2.A The concept of average
Understand averages for data presented in lists or tables.
6.2.B The 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.C Estimating the mean from grouped data
Calculate an estimate of the mean from grouped data.
6.2.D The modal class for grouped data
identify the modal class for grouped data
6.2.HA The median from a cumulative frequency diagram
estimate the median from a cumulative frequency diagram
6.2.HB Measures of spread
Understand the concept of a measure of spread.
6.2.HC Interquartile range from discrete data
find the interquartile range from a discrete data set The terms ‘upper quartile’ and ‘lower quartile’ may be used
6.2.HD The interquartile range from a cumulative frequency
estimate the interquartile range from a cumulative frequency diagram
Topic 6.3
6.3 Probability
Objectives in this topic
6.3.A Probability terminology
Use probability language including outcomes, equal likelihood, events and randomness.
6.3.B The probability scale
understand and use the probability scale P(certainty) = 1 P(impossibility) = 0
6.3.C Theoretical probability
understand and use estimates or measures of probability from theoretical models
6.3.D Probabilities from a Venn diagram
find probabilities from a Venn diagram
6.3.E Sample spaces and events
Understand sample spaces and events, and determine event probabilities from a sample space.
6.3.F Systematic outcome lists for successive events
List outcomes systematically for single events and for two successive events.
6.3.G Probabilities from previously collected data
estimate probabilities from previously collected data
6.3.H Complementary events
calculate the probability of the complement of an event using P(A′) = 1 − P(A)
6.3.I The 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.J Expected 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
6.3.HA Tree diagrams
draw and use tree diagrams
6.3.HB The probability that two or more independent events
determine the probability that two or more independent events will occur
6.3.HC Simple conditional probability when combining events
use simple conditional probability when combining events Picking two balls out of a bag, one after the other, without replacement
6.3.HD Probability to simple problems
apply probability to simple problems