Question

Travel time (1.2) The dot-plot displays data on students’ responses to the question “How long does it usually take you to travel to school?” Describe the distribution.

Short answer

Shape: The distribution is skewed to the right.

Center: The middle value is estimated as the center of the distribution and the middle value between both the values is $12.5$

Spread: This depicts the range of data values from $0$ and $90$

Step-by-step solution

Given information

Concept

The amount of data points in a data set are visually grouped by the value of each point in a dot plot.

Explanation

Shape:

The majority of the dots in the dot plot are to the left, with a tail of more uncommon dots to the right. As a result, the distribution is slightly skewed to the right.

Center:

Most dots are found between the ages of $10$and $15$ As a result, the distribution's peak appears to be somewhere between $10$ and $15$ The center of the distribution is then approximated as the middle value, and the middle value between both values is$12.5$

Unusual features:

The most significant difference appears to be between the ages of $60$ and $80$ There appear to be a few outliers due to the wide gaps in the dot plot.

Spread:

The left-most dot in the dot plot appears to be at $0$ while the right-most dot appears to be at $90$ As a result, this shows the range of data values between $0$ and $90$