Q.2.134 - 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 non symmetric 

(c) The skewness of the distribution is right skewed.

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

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

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

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.

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 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.