I have included a reference that has the answer for your question. http://www.socialresearchmethods.net/kb/statinf.php
inferential statistics allows us to gain info about a population based on a sample
Descriptive statistics label, name, or give information about a variable. Inferential stats are inferred from a smaller data set to be valid for the whole population.
The division of statistics are generally divided into two groups: inferential and descriptive. Inferential statistics require that a conclusion is drawn from data, based almost solely on human inference. Descriptive statistics are numbers that describe a set of data.
Differential statistics are statistics that use calculus. Normally statistics would use algebra but differential statistics uses calculus instead of algebra.
There is no inferential data. There is inferential statistics which from samples, you infer or draw a conclusion about the population. Hypothesis testing is an example of inferential statistics.
Why are measures of variability essential to inferential statistics?
Inferential statistics uses data from a small group to make generalizations or inferences about a larger group of people. Inferential statistics should be used with "inferences".
Descriptive statistics is a summary of data. Inferential statistics try to reach conclusion that extend beyond the immediate data alone.
Descriptive and Inferential Statistics
There are two types of statistics. One is called descriptive statistics and the other is inferential statistics. Descriptive statistics is when you use numbers. Inferential statistics is when you draw conclusions or make predictions.
One advantage of inferential statistics is that large predictions can be made from small data sets. However, if the sample is not representative of the population then the predictions will be incorrect.
Descriptive statistics are meant to describe the situation such as the average or the range. Inferential statistics is used to differentiate between a couple of groups.
Descriptive and inferential
Level of measurement most inferential statistics rely upon is ratio.
The two main branches of statistics is Descriptive statistics and inferential statistics.