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GCSE - Data Handling

 

 

Foundation only Foundation and Higher Higher only

 

  

   

 

 

1. COLLECTING DATA

2. REPRESENTING DATA AND INTERPRETING INFORMATION

3. MEASURES OF AVERAGE AND SPREAD

4. SCATTER DIAGRAMS AND CORRELATION

5. PROBABILITY

 

 

COLLECTING DATA

Specification Learning objectives Grade Resources
Decide what data to collect

design and use data collection sheets for grouped, discrete and continuous data. 

Design and use tally charts for discrete and grouped data.

G

W  survey - finding the most common letters  
Identify which primary data they need to collect and in what format, including grouped data, considering appropriate equal class intervals Classify and know the difference between various types of data

D

 
collect data using various methods, including observation, controlled experiment, data logging, questionnaires and surveys  

gather data from secondary sources, including printed tables and lists from ICT-based sources

select and justify a sampling scheme and a method to investigate a population, including random and stratified sampling

Design and use data collection sheets and questionnaires

D

P  explaining rules for questionnaires

W  notes on questionnaire design

W  prompts for questionnaire design

W  questionnaires - exam style questions

P   W  criticising questionnaires

Identify possible sources of bias in the design of data collection sheets and questionnaires

C

 

Use a variety of different sampling methods

D

W  random number table

W  simple random sampling methods

W  two sampling tasks

Use stratified sampling methods

A

P  P  explaining simple and stratified sampling

design and use two-way tables for discrete and grouped data.   design and use two-way tables for discrete and grouped data.  

E

P  explaining two way tables using magic square and exam question
P P Practice questions
W  two way tables worksheets
F (F) various questions (with answers)
F (F) Exam questions (and answers)
F (F) Exit Cards (and answers)
F F (F) (F) Whats the story?
F F (F) (F) Who is right?
P Find Probobilities

deal with practical problems such as non-response or missing data    

 

 

 

REPRESENTING DATA AND INTERPRETING INFORMATION

Specification Learning objectives Grade Resources
draw and produce, using paper and ICT, pictograms, pie charts for categorical data, and diagrams for continuous data, including line graphs for time series, scatter graphs, frequency diagrams and stem and leaf diagrams.

interpret a wide range of graphs and diagrams and draw conclusions

interpret social statistics including index numbers, time series and survey data

Construct and interpret a pictogram G  
Construct and interpret a bar chart G  
Construct and interpret a dual bar chart F  
Interpret a pie chart F

W   notes on using pie charts (complete and stick in books)
W   template with 8 sections
P  blank pie chart templates
P  W  drawing a pie chart from tables

W   drawing pie charts from tables
W   using fractions of the pie chart to interpret or draw them.

P   W  W  using percentages to interpret or draw pie charts
W  W   W  W  drawing pie charts from tables and interpreting pie chartsW   questions on pie charts and bar charts (X Answers)  

Construct a pie chart E
Interpret a stem and leaf diagram E

P   drawing an ordered stem and leaf diagram worked example
F Stem and Leaf Dominoes

F (F) Various questions (with answers)
F (F) Exam style (with answers)
F Spot the mistake
F F (F) (F) Whodunnit (with answers)
  
W W  draw an ordered stem and leaf diagram and interpret.

Construct a stem and leaf diagram (ordered) D
Construct a frequency diagram D

P  frequency polygon worked example

W   Frequency polygons from bar charts and tallies

Interpret a time series graph

D

 

interpret a wide range of graphs and diagrams and draw conclusions

draw and produce, using paper and ICT, cumulative frequency tables and diagrams, and box plots and histograms for grouped continuous data. 

Construct and interpret a cumulative frequency diagram B

P   interpreting c.f. diagrams

W  cumulative frequency questions (X Answers)
 
W  W  draw a c.f. diagram from raw data
F Exam questons

Use a cumulative frequency diagram to estimate the median and inter-quartile range B
Construct and interpret a box plot B

W   draw box plots from c.f. diagrams or stem and leaf diagrams
P Box and Whiskers

Compare two sets of data using box plots B
Construct and interpret a histogram with unequal class intervals A

P   Explanation of histograms
W Draw Histograms

 

 

MEASURES OF AVERAGE AND SPREAD

Specification Learning objectives Grade Resources
calculate mean, range and median and mode of small data sets with discrete then continuous data   Find the mode for a set of numbers G

P  P  explanation of mean, median and mode using examples

W   Example of mean, median and mode from list of data

W  copy and complete notes on averages and range

W  questions on mean median and mode

W   questions on mean (includes frequency table)

W questions on median from list of data

W  3 in a line activity (mean)
W  4 in a line activity (mean)

W   W  mean, median and mode 4 in a line activities

Find the median for an odd set of numbers G
Find the median for an even set of numbers F
Work out the range for a set of numbers F
Calculate the mean for a set of numbers F
Write down the mode from a graph F
identify the modal class for grouped data   Find the modal class for grouped data

D

 
find the median, quartiles and interquartile range for large data sets and calculate the mean for large data sets with grouped data Calculate the 'fx' column for a frequency distribution E

P  W   W  questions on averages from frequency tables

W   questions on mean (includes frequency table)

W   W  questions on averages from grouped frequency tables  

Calculate the mean for a frequency distribution D
Find the mean for grouped data C
Find the median class for grouped data. C
compare distributions and make inferences, using the shapes of distributions and measures of average, range and spread, including median and quartiles Compare the mean and range of two distributions

C

P  two examples of mean and range
Compare two sets of data using box plots

B

 
identify seasonality and trends in time series

calculate an appropriate moving average 

construct a time series graph and plot the moving average B  
Use the trend line to estimate other values B X  moving averages
use relevant statistical functions on a calculator or spreadsheet.      

 

 

SCATTER DIAGRAMS AND CORRELATION

Specification Learning objectives Grade Resources
Draw and produce scatter diagrams Draw a scatter diagram by plotting points on a graph

D

X  blanks scatter diagram for height and arm length

X  blanks scatter diagram for leg length and shoe size

 

W  W  drawing scatter graphs from tables and interpreting (X Answers)  

 

P  explaining correlation from scatter diagram
F Scatter exam qustions

W   W  W  W  W  testing hypotheses using scatter diagrams

 

W  identifying and predicting correlation

draw lines of best fit by eye, understanding what these represent. Draw a line of best fit on a scatter diagram D
distinguish between positive, negative and zero correlation using lines of best fit     Interpret the line of best fit C
appreciate that  correlation as a measure of the strength of the association between two variables   Identify the type and strength of correlation

C

appreciate that zero correlation does not necessarily imply ‘no relationship’ but merely ‘no linear relationship

 

 

PROBABILITY

Specification Learning objectives Grade

Resources

understand and use the probability scale

understand and use the probability scale  

F


Express a probability as a fraction

F

W   simple probability notes to copy
W  questions on probability
   

use the vocabulary of probability to interpret results involving uncertainty and prediction

Understand and use the vocabulary of probability

G

 

compare experimental data and theoretical probabilities  

 

understand that if they repeat an experiment, they may – and usually will – get different outcomes, and that increasing sample size generally leads to better estimates of probability and population characteristics/ parameters  

 

understand and use estimates or measures of probability from theoretical models (including equally likely outcomes), or from relative frequency

Understand the difference between experimental and theoretical probabilities E

W  W Probability horse race
W  using spinners - theoretical and experimental results.

Understand and use relative frequency D

 

P  relative frequency

 

Use relative frequency to find probabilities B
Use probability to estimate outcomes for a population C

 

list all outcomes for single events, and for two successive events, in a systematic way

Display outcomes systematically

F

W   questions on possibility space

identify different mutually exclusive outcomes and know that the sum of the probabilities of all these outcomes is 1

Understand mutually exclusive events

D

 

Use the fact that the probabilities of mutually exclusive events add up to 1

D

 

know when to add or multiply two probabilities: if A and B are mutually exclusive, then the probability of A or B occurring is P(A) + P(B), whereas if A and B are independent events, the probability of A and B occurring is P(A) x P(B)

Know when to add or multiply two probabilities

B

W   questions on and/or rules

W   and rule



Understand dependent and independent outcomes A

use tree diagrams to represent outcomes of compound events, recognising when events are independent

Complete a tree diagram B

W   tree diagrams questions

P  blank tree diagrams for text book exercise (Rayner)

W tree diagrams questions
F F Exam Questions

 

Use tree diagrams to find probabilities of successive independent events A
Draw tree diagrams and use them to find probabilities of successive dependent events A*
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