Q.2.132 - 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 symmetric

(c) The skewness of the graph is 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 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. As a result, the distribution's form is unimodal in terms of modality.

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 provided graph can be split into two equal halves, one of which is the inverse 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 distribution is symmetric and unimodal.

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