A Guide to Advanced Statistics Learners should continually be encouraged to critically engage with the data in terms of the data collection, analyses and interpretation. This higher level of engagement is only possible once learners have understood the basic concepts central to working with statistics. Standard deviation, mean and grouping data and constructing graphs are emphasized in the videos and tasks that accompany the series. Encourage learners to understand the calculations they are doing, rather than just applying formulae. The concept of data being skewed or symmetrical is first revised in this series by looking at standard deviation, mean and normal distribution. Although learners have come across these concepts in Grade 11, learners tend to need a lot of revision and practice in order to further master the calculation and application of these when working in the context of grouped data and more than one set of data. Bivariate data is also covered as well as trendlines, regression and correlation coefficients. The terms interpolation and extrapolation are also defined and explained. The lessons are all approached within real-life contexts, which are an integral part of data handling. This is also a good section to encourage learners to study and revise using a concept map or a mind map as a learning tool for summarizing the various concepts covered. This helps learners to see how the different topics in statistics link to each other and how this in turn forms a bigger picture that helps one to analyse and interpret the data.
14
Embed
A Guide to Advanced Statistics - Mindset Learnlearn.mindset.co.za/sites/default/files/resourcelib/emshare-topic... · A Guide to Advanced Statistics ... pause the video and try to
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
A Guide to Advanced Statistics
Learners should continually be encouraged to critically engage with the data in terms of the
data collection, analyses and interpretation. This higher level of engagement is only possible
once learners have understood the basic concepts central to working with statistics.
Standard deviation, mean and grouping data and constructing graphs are emphasized in the
videos and tasks that accompany the series. Encourage learners to understand the
calculations they are doing, rather than just applying formulae.
The concept of data being skewed or symmetrical is first revised in this series by looking at
standard deviation, mean and normal distribution. Although learners have come across
these concepts in Grade 11, learners tend to need a lot of revision and practice in order to
further master the calculation and application of these when working in the context of
grouped data and more than one set of data.
Bivariate data is also covered as well as trendlines, regression and correlation coefficients.
The terms interpolation and extrapolation are also defined and explained. The lessons are all
approached within real-life contexts, which are an integral part of data handling.
This is also a good section to encourage learners to study and revise using a concept map
or a mind map as a learning tool for summarizing the various concepts covered. This helps
learners to see how the different topics in statistics link to each other and how this in turn
forms a bigger picture that helps one to analyse and interpret the data.
Video Summaries
Some videos have a ‘PAUSE’ moment, at which point the teacher or learner can choose to
pause the video and try to answer the question posed or calculate the answer to the problem
under discussion. Once the video starts again, the answer to the question or the right
answer to the calculation is given.
Mindset suggests a number of ways to use the video lessons. These include:
Watch or show a lesson as an introduction to a lesson
Watch of show a lesson after a lesson, as a summary or as a way of adding in some
interesting real-life applications or practical aspects
Design a worksheet or set of questions about one video lesson. Then ask learners to
watch a video related to the lesson and to complete the worksheet or questions, either in
groups or individually
Worksheets and questions based on video lessons can be used as short assessments or
exercises
Ask learners to watch a particular video lesson for homework (in the school library or on
the website, depending on how the material is available) as preparation for the next days
lesson; if desired, learners can be given specific questions to answer in preparation for
the next day’s lesson
1. Working with Mean and Standard Deviation
In this video Zinzi helps Justice with how to use data to improve his restaurant business. They cover
how to select a sample and calculate the mean and standard deviation of a data set and what this
means.
2. Normal Distribution
This video deals with another example of calculating the mean and standard deviation of grouped data.
The lesson also deals with the graphical representation of the data in the histogram and then introduces
the normal curve.
3. The Bell Curve
The statistical measures of mean, mode and standard deviation are discussed in context of the normal
distribution as well as the skewing of the distribution. Its appearance in industry is then presented.
4. Working with Bivariate Data
This video deals with bivariate data. Scatter plots are drawn and linear relationships between variables
identified. The lesson then deals with calculating an equation to best describe the relationship, this
concept being regression.
5. Working with Correlation Coefficients
This video studies the notion of correlation, this being the relationship between two variables, i.e. the
nature of the relationship and its strength. The lesson also shows how to calculate the linear regression
line/line of best fit, with the use of a calculator.
6. How to Misuse Statistics
This video discusses how bias in data arises and how it can be prevented. The lesson also deals with
the misrepresentation of data through the use of incorrectly drawn graphs.
Resource Material
Resource materials are a list of links available to teachers and learners to enhance their experience of
the subject matter. They are not necessarily CAPS aligned and need to be used with discretion.