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How many variables do univariate and bivariate data involve?
See solution.
We are asked to give example data sets of univariate and bivariate data. Then we will determine the differences between these data types.
When a set of data uses only one variable, it is called univariate. Let's look at some example data that represents the number of hours per day that some developers spend programming.
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8 & 9 & 5 & 11 & 5
10 & 11 & 7 & 6 & 8
This data set involves only one variable — hours per day. Therefore, it is univariate. We can represent the data set using a bar graph.
Keep in mind that this is only one example of this type of data. The following data sets are also univariate.
A data set is considered bivariate when it uses two variables. Once again, let's consider the number of hours per day that developers spend programming. This time, we will also consider the annual salary of these developers.
| Hours Spent Programming | Annual Salary |
|---|---|
| 8 | $90 100 |
| 9 | $110 600 |
| 5 | $130 500 |
| 11 | $95 000 |
| 5 | $72 100 |
| 10 | $64 200 |
| 11 | $106 400 |
| 7 | $112 500 |
| 6 | $104 900 |
| 8 | $79 500 |
Now the data set involves two variables. Therefore, it is bivariate. This type of data usually shows the relationship between two variables. To visualize the relationship between two variables, we can plot ordered pairs of the data on a scatter plot.
The following data sets are also examples of bivariate data sets.
Finally, we can conclude the differences between univariate and bivariate data.
| Differences Between Types of Data | |
|---|---|
| Univariate | Bivariate |
| Uses one variable | Uses two variables |
| Does not show a relationship between variables | Shows a relationship between variables |
| Can be represented using a bar graph | Can be represented using a scatter plot |