Review and extend previous understandings of statistics including displaying data in tables and graphs Review, develop and select appropriate measures of central tendency to analyze information and draw conclusions Construct scattergraphs and find correlation coefficients to draw conclusions Analyze data and information and use the results to draw conclusions/extrapolate/interpolate in a variety of meaningful contexts
Conceptual Framework
relationships representation, generalization, justification in the context of Fairness and Development
Statements of Inquiry
Development can be improved by examining relationships between issues in real life such as life span and income and making justifiable generalizations
Factual
Are GDP and lifespan positively correlated?
Conceptual
How can we use correlation coefficients to improve quality of life?
Debatable
How can I use my understanding of data and statistics to inform perspectives of the world?
Description
The focus on this unit will be on techniques involving the
analysis of real-life data to determine if patterns
exist between issues such as, for example, life span and GDP. Relationships between theses issues
will be examined to see if generalizations
can, or cannot, be made. Results can then be used to discuss where funding and
assistance is needed if fairness and
development of the quality of life
of a country’s inhabitants can be improved. Students will use technological
tools such as spreadsheets, and calculators to find correlation coefficients,
lines of best fit, and measures of central tendencies to justify the decisions that they make. An inter-disciplinary task
with be given with the Individuals and Societies department.
Learning Outcomes
Construct graphs to display data
Calculate mean, median and mode from a set of scores
Determine which measure of central tendency best represents the data
Determine which measure of central tendency to use to argue a case
Construct a frequency distribution table with headings score, tally, frequency, cumulative frequency
Calculate the mean, median and mode from the frequency distribution table manually
Calculate the mean, median and mode from the frequency distribution table using a calculator
Calculate the median from a cumulative frequency graph
Construct a scattergraph using excel and a graphical display calculator (GDC)
Find the correlation coefficient using excel and a GDC, and state it’s significance
Construct a line of best fit using excel and a GDC
Find the equation of a line of best fit using excel and a GDC
Use the line of best fit to interpolate and extrapolate
Decide what to do with the outliers
Calculate the standard deviation using a calculator
Determine using the standard deviation how spread out scores are.
Comparing performances in achievement using mean standard deviation
Appreciate the concept of selecting random samples and employ one or more to collect a sample