Q.2.136 - Elementary Statistics

Question

We have drawn a smooth curve that  represents a distribution, 

a. Identify the shape of the distirbution with regard to modality.

b. Identify the shape  of the distribution with regard to symmetry (or non symmetry)

c . If the distribution is unimodal and non symmetric, classify it as either right skewed or left skewed.

Step-by-Step Solution

Answer

a) The shape of the graph is unimodal 

(b) The shape of the graph is non symmetric 

(c) The skewness of the distribution is right skewed. 

Part(a) Step 1 : Given Information

The given graph is:

we have to  Identify the shape of the distirbution with regard to modality.    

Part (a) Step 2 : Explanation

A probability distribution with more than one peak, or "mode," is known as a multimodal distribution. The term "unimodal" refers to a distribution having only one peak. The term "bimodal" refers to a distribution with two peaks. A multimodal distribution has two or more peaks. There is only one peak in the given graph. 

Part (b) Step 1: Given Information

The given graph is:

 we have to Identify the shape  of the distribution with regard to symmetry (or non symmetry)   

Part (b) Step 2: Explanation

A symmetric distribution is one in which one half is the mirror image of the other. The graph can't be split into two equal halves, one of which is a mirror image of the other.

Part (c) Step 1: Given Information

The given graph is:

We have to classify  as either right skewed or left skewed If the distribution is unimodal and non symmetric.  

Part(c) Step 2: Explanation

The tail of the graph is longer towards the right. So, the shape of the graph is right skewed.

Therefore, the skewness of the distribution is right skewed.