Question

Sketch the curve corresponding to each of the following specific distribution shapes.

a. Bell-shaped

b. Triangular

c. Reverse J shaped

d. Uniform

Short answer

(a)

(b)

(c)

(d)

Step-by-step solution

Part (a) Step 1: Given information

The given distribution shape is bell-shaped.

Part (a) Step 2: Explanation

The number of peaks in distribution, as well as its symmetry, skewness, and uniformity, are used to describe its shape.

The bell shape graph is provided.

Part (b) Step 1: Given information

The given distribution shape is triangular.

Part (b) Step 2: Explanation

The number of peaks in distribution, as well as its symmetry, skewness, and uniformity, are used to describe its shape.

The triangular graph is as follows:

Part (c) Step 1: Given information

The given distribution shape is reverse J shaped.

Part (c) Step 2: Explanation

The number of peaks in distribution, as well as its symmetry, skewness, and uniformity, are used to describe its shape.

The figure depicts the reverse J shaped graph (3)

Part (d) Step 1: Given information

The given distribution shape is uniform.

Part (d) step 2: Explanation

The number of peaks in distribution, as well as its symmetry, skewness, and uniformity, are used to describe its shape.

The uniform graph is as follows: