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Chapter 2: Q.2.134 (page 80)

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.

Short Answer

Expert verified

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.

Step by step solution

01

Part(a) Step 1 : Given Information  

The given graph is

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

02

Part (a) Step 2 : Explanation 

There is only one peak in the given graph. So the shape of the distribution on the basis of modality is unimodal.

03

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)

04

Part (b) Step 2: Explanation 

If the shape of any distribution is broken into two pieces, one of which is the mirror image of the other, the distribution is said to be symmetric. The graph in question cannot be divided into two equal halves, one of which is a mirror image of the other.

05

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.

06

Part(c) Step 2: Explanation  

The distribution is unimodal and non-symmetric.

So, the skewness of the graph can be determined.

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

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