19/03/2021
Maths lit
Data handling
* Basically what we are looking at is statistics
= you will learn how to SUMMARISE. REPRESENT and ANALYSE data that contain multiple sets of data and multiple categories.
Eg.. working with vehicle statistics containing information on the number of different types of none-roadworthy vehicle in each province in SA
= work with data that contains complex values
Eg. Value expressed in millions or large data values for which estimation may be necessary to determine values or graphs and tables
= Work with data that also relates to national and global issues.
Emaple
Here are final results in percentages for two groups in grade 12
Group 1
28-36-37-42-48-52-53-55-56-58-59-60-61-62-63-63-65-78-79-93-97
Group2
50-52-53-54-54-54-57-58-58-60-63-63-64-65-65-66-72-81
Which group performed best?
NO ONE WAY OF ANALYSING THIS IS TO CALCULATE THE MEASURES OF CENTRAL TENDENCY FOR EACH GROUP.
Pay close attention to the following
Mean
Method
Total of all data ÷ number of data
Group 1
1245÷21=59,6%
Group 2
1089÷18=60,5%
Median
Method
Middle value in an ordered data set
Group1
The value in the middle of the data is 59%
Group2
There are 2 values in the middle of the data. So we average them
58+60÷2=59%
Mode
Method
The most frequent value
Group1
63%
Group2
54%
Now let's analyse our data
Mean
According to the mean. Group 2 performed slightly better than group 1. However. It is not enough of a difference to say that they performed significantly better.
Median
Both groups have the same median so this measure could not decide between them
Mode
According to the mode. Group1 did better. But this type of data model is not quite useful measurement. There are too few of the modal data to declare it to be a good indicator
I thank you