Q 53. - The Practice of Statistics for AP

Question

Traveling to work How long do people travel each day to get to work? The following table gives the average travel times to work (in minutes) for workers in each state and the District of Columbia who is at least 16 years old and don’t work at home.

(a) Make a histogram of the travel times using classes of width $2$ minutes, starting at $14$ minutes. That is, the first class is $14$ to $16$ minutes, the second is $16$ to $18$ minutes, and so on.

(b) The shape of the distribution is a bit irregular. Is it closer to symmetric or skewed? About where is the center of the data? What is the spread in terms of the smallest and largest values? Are there any outliers?

Step-by-Step Solution

Answer

The data approximately follow the symmetrical (normal) distribution.

Step 1: Given information

Step 2: Concept

A histogram is an often used graphing tool. It's used to summarise discrete or continuous data that's measured on an interval scale. It's frequently used to highlight the most important characteristics of data distribution in a user-friendly way.

Step 3: Explanation

Therefore, the data approximately follow the symmetrical (normal) distribution.