Q 1.2. - The Practice of Statistics for AP

Question

Here, once again, is the stem plot of travel times to work for $20$ randomly selected New Yorkers. Earlier, we found that the median was $22.5$

Use your calculator to find the mean travel time. Was your answer to Question $1$ correct? 

Step-by-Step Solution

Answer

The mean of $\mathbf{31}\mathbf{.}\mathbf{25}$ is effectively bigger than the median of $22.5$

Step 1: Given information

As per the provided information, the median is $22.5$ minutes.

The number of observations :$20$

Step 2: Concept

The data is divided into stems (the highest digit) and leaves (the lowest digit) in a stem and leaf plot (the smallest digits). Before the personal computer, they were popular because they were a quick way to sketch data distributions by hand. When objects need to be displayed in a way that demonstrates the hierarchical structure as well as amount or size, pyramid charts are the ideal choice. This can include positions in management, items sold, and business locations, among other things

Step 3: Explanation

The median trip time is $20$ minutes, and the mean travel time is $22.5$ minutes, which is effectively longer than the median. The mean time is $31.25$ minutes, which is much longer than the median time of $22.5$  minutes.