Math and Statistics (MATH2123) (W1: Intro and basic calculations…
Math and Statistics (MATH2123)
W1: Intro and basic calculations
Science of data
numerical and graphical
methods to look for
in a data set, to
the information revealed in a data set and to
present that information
in a convenient form
Average, spread, range, frequency
histogram, median, scatter plot
mode, interquartile range
decisions, predictions or other generalizations
about a larger set of data
= is the complete collection of items to be studied.
If we can examine every single unit, we conduct a
a characteristic or property of an individual unit.
is a subset of the population.
Different methods of sampling
Simple random sampling
Classify into groups by criteria and then randomly sample in each group
Use a heterogeneous subgrouping (eg postcode) and sample within this subgroup
Only ask people that are easy to get to, or come to you
A good representation of the population
No selection bias
No response bias
Measure of reliability
= is a statement about the degree of uncertainty associated with a statistical inference
types of sample
exhibits characteristics typical of those possessed by the target population.
A random sample of n units is selected in such a way that every different sample of size n has the same chance of being selected
Types of Data
Ex: Age / Salary / GPA...
Year in school
Live on/off campus
W2: Descriptive Statistics