Question

Ikeoluwa collected data on whether 656565 professional golfers have practiced for at least 10{,}00010,00010, comma, 000 hours in their career and whether they have won a major championship. The Venn diagram below shows her data.

Answer 1

Answer:

Table shown in the image below

Step-by-step explanation:

Venn Diagram

It's a graphic representation of the elements who belong or not to different sets. In a two-set diagram (A and B), four zones are highlighted: Elements belonging to A alone, to B alone, to both of them, and to none of them. There are many other possible logic combinations to show relationships between the elements.

In the Venn Diagram shown in the question, we can see:

• 14 golfers have practiced for at least 10,000 hours but haven't won a major championship
• 8 golfers have won a major championship but haven't practiced for at least 10,000 hours
• 37 golfers have won a major championship AND have practiced for at least 10,000 hours
• 6 golfers haven't done any of the above.

We need to complete the two-way frequency table with the following requirements for each cell where both conditions cross

• How many golfers have won a major championship AND have practiced for at least 10,000 hours? The answer has been already found in our analysis of the Venn Diagram: 37 golfers
• How many golfers have NOT won a major championship AND have practiced for at least 10,000 hours? We need to look outside the red circle but inside the blue circle. The answer has also been answered by looking directly to the diagram: 14 golfers
• How many golfers have won a major championship AND have NOT practiced for at least 10,000 hours? We must look outside of the blue circle but inside the red circle. The answer has also been answered by looking directly to the diagram: 8 golfers
• How many golfers have NOT won a major championship AND have NOT practiced for at least 10,000 hours? We must look outside of the blue circle and outside of the red circle. The answer is also found by looking directly to the diagram: 6 golfers