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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 left 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   

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.

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. There is no way to divide the provided graph 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 the distribution as either right skewed or left skewed If the distribution is unimodal and non symmetric.

06

Part(c) Step 2: Explanation  

The term "unimodal" refers to a distribution having only one peak.

A skewed (non-symmetric) distribution is one in which mirror-imaging is not possible.

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