Q. 3.148 - Elementary Statistics

Question

Identify by name three important groups of percentiles .

Step-by-Step Solution

Answer

The three important groups of percentiles are Quartile $1$ (can be called as $25th$ percentile),  Quartile $2$ (can be called as $50th$ percentile),  Quartile $3$ (can be called as $75th$ percentile)  

Step 1: Given Information

We need to find the three important groups of percentiles.

Step 2: Explanation

There are three main groupings of percentiles here if we take a certain quantity of data and build a box and whisker diagram. As a result, the first percentile takes us from $0$ to $25\%$, or the first quartile. The following set of numbers brings us from $25\%$ to $50\%$, which is our median. The $50th$ percentile, or the second quartile, is our middle quartile. It goes by a number of distinct names. Then we continue from the $50th$ to the $75th$ percentile, the third quartile, and finally to the last quartile. In any distribution, these are the three most important percentiles.

Each of these unique groupings now contains $25\%$ of our total data. As an example, if we move from $0$ to the first quartile, we'll see that that region contains $25\%$ of our data. This enables us to determine whether our info is distributed normally. Consider a box and whisker plot in which the $50th$ percentile is extremely close to the $25th$ percentile and the first quartile is relatively small. The fourth or final quarter, on the other hand, is extremely long. We can see how significantly biased this data is.