At the Kansas City Airport, a group of pilots for Skyways and Yellow Jet airlines were asked whether their flights were flying east or west. The two-way table shows their answers.
Flight Directions
| | East | West | Total |
| :-------- | :--- | :--- | :---- |
| Skyways | 30 | 33 | 63 |
| Yellow Jet | 35 | 34 | 69 |
| Total | 65 | 67 | 132 |
Which joint frequency has the most flights?
A. Skyways, going east
B. Skyways, going west
C. Yellow Jet, going east
D. Yellow Jet, going west
Answer (1)
Read the number of flights for each joint frequency directly from the table.
Compare the number of flights for each joint frequency: Skyways East (30), Skyways West (33), Yellow Jet East (35), Yellow Jet West (34).
Identify the highest number of flights: 35, which corresponds to Yellow Jet going East.
The joint frequency with the most flights is: Yellow Jet, going east .
Explanation
Analyze the problem We are given a two-way table that shows the number of flights for Skyways and Yellow Jet airlines, categorized by whether they are flying east or west. Our goal is to identify which combination of airline and direction (joint frequency) has the most flights.
Identify the joint frequencies Let's examine the table:
Skyways, going East: 30 flights
Skyways, going West: 33 flights
Yellow Jet, going East: 35 flights
Yellow Jet, going West: 34 flights
Compare the number of flights Comparing the number of flights for each joint frequency, we see that:
Skyways East: 30
Skyways West: 33
Yellow Jet East: 35
Yellow Jet West: 34
The highest number of flights is 35, which corresponds to Yellow Jet going East.
Determine the joint frequency with the most flights Therefore, the joint frequency with the most flights is Yellow Jet, going East.
Examples
Understanding joint frequencies is useful in many real-world scenarios. For example, a marketing company might analyze the joint frequency of customers who are both female and over 30 to target a specific advertising campaign. Similarly, a healthcare provider might look at the joint frequency of patients who have both diabetes and heart disease to better understand risk factors and treatment strategies. In this case, we analyzed the joint frequency of airlines and flight directions to determine which combination had the most flights.
