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Chapter 2: Q.2.133 (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 symmetric

(c) The skewness of the graph is cannot be determined.

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 

A unimodal distribution is defined by a single distinct peak or most frequent value. After reaching a single peak, the numbers rise, then decline. In the graph, there is only one peak.

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 

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.

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 symmetric and unimodal.

As a result, the graph's skewness cannot be established.

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