Q. 2 - Elementary Statistics

Question

The percentage of all possible observations of a variable that lie between 25 and 50 equals the area under its density curve between___ and ___expressed as a percentage.

Step-by-Step Solution

Answer

The area under its density curve between 25 and 50 , expressed as a percentage. 

Step 1: Given Information

The blanks in the given statement.

Step 2: Explanation

Consider the variable to be the density curve.

The proportion of all possible observations of a variable that falls between $25$ and$50$ percent.

And $50$ is the fraction of the area under its density curve that lies between $25$ and $50$.

Since the matching area under the curve given as a percentage equals the percentage of all possible observations of the variable inside the specific range.