Q.2.128 - Elementary Statistics

Question

Give two reasons why the use of smooth curves to describe shapes of distributions is helpful.

Step-by-Step Solution

Answer

• Reason 1: The distribution can be more easily identified with smooth curves.
• Reason 2: The overall pattern remains concentrated despite minor variations in shape.

Step 1 : Concept Introduction

Smooth curve is related with smoothness of function and smoothness of function is defined as function have derivative of all order differentiability class is defined as properties of derivative of function. 

Step 2: Explanation

To describe the shape of distributions with smooth curves, we should consider,

• The smoothness of the curves helps to identify the distribution's shape more quickly.
• No matter how minor the variations in shape are, the overall pattern cannot be distracted.

In other words, the two reasons listed above for describing distribution shapes by smooth curves are listed above.