Descriptive statistics
A collection of methods for classifying and summarising the data
Two main types of descriptive statistics
- Measure of variability
Frequency distribution
A count of the number of occurrences of each different value in the data set
To make a frequency distribution…
what do we do with a wide range of values?
Group the data into clusters that form a class interval
What does a class interval do?
Gives you a way of partitioning the data into meaningful categories to be bale to make sense of it
Tips for selecting class interval width -
Continuous variables…
Can take on any value on the measurement scale
What is an exact limit
1/2 unit below and 1/2 unit above the values of the class interval
Data curves - frequency polygon
Y-axis - frequency - the frequency of a certain value in your data X-axis - mark of the axis with values corresponding to the midpoint of the class interval
Three shapes of frequency distributions -
Uniform or rectangle distribution -
evenly distributed throughout the distribution
Skewed distribution -
Symmetric/normal distribution -
Two halves of the graph are the same. clumped in the middle with fewer on the outside