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).
Identify the joint frequency with the highest number of flights.
The joint frequency with the most flights is: Yellow Jet, going east .
Explanation
Understand 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.
Extract data from the table The table provides the following data:
Skyways, going East: 30 flights
Skyways, going West: 33 flights
Yellow Jet, going East: 35 flights
Yellow Jet, going West: 34 flights
Compare the frequencies Now, we compare the number of flights for each joint frequency:
Skyways East: 30
Skyways West: 33
Yellow Jet East: 35
Yellow Jet West: 34
We can see that Yellow Jet, going East, has the most flights (35).
State the final answer 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 track the number of customers who both use a particular product and live in a certain region. This helps them understand which marketing strategies are most effective in different areas. Similarly, in healthcare, joint frequencies can help identify which combinations of risk factors are most likely to lead to a particular disease, allowing for more targeted prevention efforts.
The joint frequency with the most flights is Yellow Jet, going east, which has 35 flights. This option is the highest among all categories listed in the table. Therefore, choice C is the correct answer.
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