### Statistics Phase 1 : Population Data vs Sample Data

**POPULATION DATA vs SAMPLE DATA**

We are starting with Descriptive Statistics . Discriptive Statistics is a branch of statistics that deals in determining the
characteristics and features of the data
provided.

The first question that needs to be answered is whether the
data provided is the Population data or the Sample data.

Now what is

**? Population is the collection of all items of interest of our study***Population data**.*For eg the collection of data of all residents of a country is the population data in the National Census Survey study*.*Now the size of this data will be very large and it will be very costly and time consuming to obtain this data and to analyse it. So to overcome these problems we make use of Sample data.
Sample data is a subset or a part of the Population data. We
generally make use of the Sample data in our analysis because it’s size is less
than the Population data and it’s collection and analysis is time and cost
effective. For eg. In our study of
studying defects in motorcycles produced by a certain company we can collect a
sample of motorcycles and check defects on those sample motorcycles

Now to determine that the sample is a good sample or not we
have to check that whether the sample is random and representative of the
population.

A random sample is a sample in which sample data is collected
randomly from the population data and there is

**no bias**.
The probability of
selection of each element of population is same. A representative sample is a
sample that accurately reflects the population and have same features and
characteristics to that of the population. If our population includes different
groups then sample data should have elements from all the groups to fully
reflect the population.

For eg in selecting the motorcycles we must select
the sample in a random way such that chance of selection of each cycle is same.
Also our sample must include cycles of both type(gear and non-gear) so that it
is a true representative of the population

The objective of collecting population data is to identify
the characteristics and features of the population while the objective of
sample data is to make judgements and inferences about the population which
cannot be analysed due to time and cost constraints.

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**Credits-: Garvit Nagpal**
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