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Instructor: You are probably watching this course
because you wanna learn the appropriate statistics
to perform different tests.
Maybe you wanna use this knowledge as a stepping stone
to a career in data science.
Either way, before we can start testing
we have to get acquainted with the types of variables
we usually encounter.
Different types of variables require different types
of statistical and visualization approaches.
Therefore, to be able to classify
the data you are working with is key.
We can classify data in two main ways
based on its type and on its measurement level.
Let's start from the types of data we can have.
There is categorical and numerical data.
Categorical data describes categories or groups.
One example is car brands like Mercedes, BMW and Audi.
They show different categories.
Another instance is answers to yes and no questions.
If I ask questions like, Are you currently enrolled
in a university or do you own a car?
Yes and no would be the two groups of answers
that can be obtained.
This is categorical data.
Numerical data, on the other hand,
as its name suggests, represents numbers.
It is further divided into two subsets.
Discreet and continuous.
Discreet data can usually be counted in a finite matter.
A good example would be the number
of children that you want to have.
Even if you don't know exactly how many,
you are absolutely sure that the value will be an integer
such as zero, one, two, or even 10.
Another instance is grades on the SAT exam.
You may get 1,000, 1,560, 1,570 or 2,400.
What is important for a variable to be defined as discrete
is that you can imagine each member of the data set.
Knowing that SAT scores range from 600 to 2,410 points
separate all possible scores that can be obtained is key.
It's easier to understand discrete data
by saying it's the opposite of continuous data.
Continuous data is infinite and impossible to count.
For instance, your weight can take on
every value in some range.
Let's dig a bit deeper into this.
You get on the scale and the screen shows 150 pounds
or 68.0389 kilograms, but this is just an approximation.
If you gain 0.01 pound, the figure on the scale
is unlikely to change but your new weight
will be 150.01 pounds or 68.0434 kilograms.
Now, think about sweating.
Every drop of sweat reduces your weight
by the weight of that drop, but once again,
a scale is unlikely to capture that change.
Your exact weight is a continuous variable.
It can take on an infinite amount of values
no matter how many digits there are after the dot.
To sum up, your weight can vary
by incomprehensibly small amounts and is continuous
while the number of children you want to have
is directly understandable and is discreet.
Just to make sure, here are some other examples
of discreet and continuous data.
Grades at university are discreet, A, B, C, D, E, F
or zero to 100%.
The number of objects in general,
no matter if bottles, glasses, tables, or cars,
they can only take integer values.
Money can be considered both, but physical money
like bank notes and coins are definitely discreet.
You can't pay $1.243, you can only pay $1.24.
That's because the difference between two sums of money
can be 1 cent at most.
What else is continuous?
Apart from weight, other measurements are also continuous.
Examples are height, area, distance and time.
All of these can vary by infinitely smaller amounts,
incomprehensible for a human, time on a clock is discreet
but time in general isn't.
It can be anything like 72.123456 seconds.
We are constrained in measuring weight, height, area,
distance and time by our technology, but in general
they can take on any value.
All right, These were the types of data.
In our next lesson, we will explore
the levels of measurement.
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