Question

describe the shapes of the three distributions illustrated to the right.

which statement below best describes the shape of distribution (a)?

• symmetrical distribution
• bimodal distribution
• rectangular distribution
• unimodal distribution

which statement below best describes the shape of distribution (b)?

• unimodal and symmetrical distribution
• bimodal distribution

Explanation:

🆕 New Concept Discovered: Shapes of Distributions
Identifying peaks and symmetry in data curves

Step 1: Analyze Distribution (a)

A "mode" in a continuous distribution curve is represented by a local peak (a high point).

Looking at distribution (a):

• There are two distinct peaks (humps) in the curve.
• A distribution with two prominent peaks is called bimodal (meaning "two modes").

Therefore, the best description for distribution (a) is a Bimodal distribution.

Step 2: Analyze Distribution (b)

Looking at distribution (b):

• There is only one single, clear peak in the center. A distribution with one peak is called unimodal.
• The left half of the curve is a mirror image of the right half, which means it is balanced on both sides. This characteristic is called symmetrical.

Therefore, the best description for distribution (b) is a Unimodal and symmetrical distribution.

Answer:

• Which statement below best describes the shape of distribution (a)?
• Bimodal distribution

• Which statement below best describes the shape of distribution (b)?
• Unimodal and symmetrical distribution