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 (2)
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).
Determine which joint frequency has the highest number of flights.
The joint frequency with the most flights is: Y e ll o w J e t , g o in g e a s t .
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. We need to find the joint frequency (combination of airline and direction) with 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 in a certain age group and prefer a particular product. This helps them target their advertising more effectively. Similarly, a hospital might track the joint frequency of patients with a specific condition and a particular risk factor to better understand and manage the disease.
The joint frequency with the most flights is Yellow Jet, going East, which has 35 flights. This is higher than all other combinations in the table. Therefore, the correct answer is option C: Yellow Jet, going east.
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