Question

Assuming you want to arrive as close to the scheduled time as possible, from which airline should you buy your ticket? Justify your response by addressing both the measures of center and spread of the distributions.
Answer using this format:

I should choose [Airline P/Airline Q] because the distribution of flights for Airline P has a center
that is [greater than/about the same as/less than] the center of the distribution of flights of for
Airline Q, and the distribution of flights for Airline P has a spread that is [greater than/about the
same as/less than] the spread of the distribution for Airline Q.

Answer 1

Answer:

"I should choose [Airline P] because the distribution of flights for Airline P has a center that is [about the same as] the center of the distribution of flights of for

Airline Q, and the distribution of flights for Airline P has a spread that is [less than] the spread of the distribution for Airline Q.

Step-by-step explanation:

A measure of center that can be used is median.

The median for Airline P is around 0. (Exactly at the scheduled time)

The median for Airline Q is also around 0.

The spread of the distribution for Airline P tend to be lesser than that of Airline Q, by mere looking at both plots for each visually.

Airline P spread = range = max - min = 25 -(-25) = 50

Airline Q spread = range = max - min = 60 -(-35) = 95

The Airline I would buy ticket from if I want to arrive at the scheduled time as much as possible would be the airline with a center of distribution of 0, and that which its spread of distribution is lesser.

Using the answer format given above: the answer would be:

"I should choose [Airline P] because the distribution of flights for Airline P has a center that is [about the same as] the center of the distribution of flights of for

Airline Q, and the distribution of flights for Airline P has a spread that is [less than] the spread of the distribution for Airline Q."