Q 52. - The Practice of Statistics for AP

Question

Shakespeare The histogram below shows the distribution of lengths of words used in Shakespeare’s plays.$29$ Describe the shape, center, and spread of this distribution. 

Step-by-Step Solution

Answer

Shape: skewed towards right

Center: $2$ to $5$ letters

Spread: $1$ letter to $12$ letters per word

Step 1: Given information

The figure is 

Step 2: Concept

A histogram is a graphing tool that is often used. It's used to summarise data that's either discrete or continuous and measured on an interval scale. It's commonly used to demonstrate the key aspects of data distribution in a user-friendly manner.

Step 3: Explanation

The following is the shape, center, and spread of the histogram showing the distribution of word lengths used in Shakespeare's plays:

Shape: The distribution is biassed to the right, which implies that the majority of words are $2$ to $5$ letters long, although there are a few that are $6-12$ letters long. As a result, the graph displays a rightward spread from its peak. The distribution is unimodal, meaning there is only one peak.

The midway (median) would be anywhere between $2-3$ words, according to the graph.

The histogram depicts the distribution of word lengths in Shakespeare's plays, which range from one to twelve letters per word. There are no outliers in the data, which means there are no extreme numbers.