Q.2.138 - 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 bimodal 

(b) The shape of the graph is symmetric 

(c) The skewness of the distribution  cannot be determined

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 are two peaks 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

When a distribution's shape is broken into two sections, one of them is the mirror image of the other, the distribution is said to be symmetric. The graph can 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  the distribution as either right skewed or left skewed If the distribution is unimodal and non symmetric.    

Part(c) Step 2: Explanation

The term "bimodal" refers to a distribution with two peaks. 

When the values of variables exist at regular frequencies, a symmetrical distribution is formed, and the mean, median, and mode are frequently found at the same location.