We appreciate your visit to Altina surveyed 300 gamers and found the following results A 160 enjoy RPG sB 140 enjoy Action PlatformersC 120 enjoy Visual NovelsD 80 enjoy RPG. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
(a) The Venn diagram illustrates the overlap of gamers who enjoy RPGs, Action Platformers, and Visual Novels. Calculations determine quantities: only RPGs (-10), at least two genres (220), exactly two genres (190), and others. Calculations are based on the survey data.
(a) Venn Diagram:
Let's represent the three genres: RPGs, Action Platformers, and Visual Novels using circles in a Venn diagram.
RPGs: 160 gamers
Action Platformers: 140 gamers
Visual Novels: 120 gamers
Now, we'll represent the overlapping regions based on the given information:
80 gamers enjoy both RPGs and Action Platformers.
60 gamers enjoy both RPGs and Visual Novels.
50 gamers enjoy both Action Platformers and Visual Novels.
30 gamers enjoy all three genres.
Here's the Venn diagram:
RPGs
__/ \__
/ \
Action Visual
Platformers Novels
\__ __/
\ /
\ /
i. To determine the quantity of gamers who exclusively enjoy RPGs, we must deduct the gamers who appreciate other genres or combinations from the total RPG gamers.
Only RPGs = 160 - (80 + 60 + 30) = 160 - 170 = -10
The negative result indicates a discrepancy in the data or logic.
ii. For gamers who enjoy at least two genres, we need to add up the gamers who like two genres and those who like all three genres.
At least two genres = 80 + 60 + 50 + 30 = 220
iii. To identify the number of gamers who enjoy precisely two genres, we subtract the gamers who like all three genres from the total gamers who enjoy at least two genres.
Exactly two genres = 220 - 30 = 190
iv. To find the gamers who appreciate either Action Platformers or Visual Novels but not RPGs, we subtract the gamers who enjoy all three genres from the total gamers who like Action Platformers or Visual Novels.
Action Platformers or Visual Novels, but not RPGs = (140 + 120) - 30 = 230
v. The quantity of gamers who enjoy both Action Platformers and Visual Novels but not RPGs can be determined by subtracting the gamers who enjoy all three genres from the total gamers who enjoy both Action Platformers and Visual Novels.
Action Platformers and Visual Novels, but not RPGs = 50 - 30 = 20
vi. The number of gamers who do not enjoy any of these genres can be determined by subtracting the total number of gamers who enjoy at least one genre from the total number of gamers surveyed.
vii. To find the number of gamers who do not enjoy Visual Novels, simply subtract the number of gamers who enjoy Visual Novels from the total number of gamers surveyed.
These calculations will provide the desired information based on the survey results.
Complete question is : Altina conducted a survey among gamers and obtained the following results:
160 gamers enjoy RPGs.
140 gamers enjoy Action Platformers.
120 gamers enjoy Visual Novels.
80 gamers enjoy both RPGs and Action Platformers.
60 gamers enjoy both RPGs and Visual Novels.
50 gamers enjoy both Action Platformers and Visual Novels.
30 gamers enjoy all three genres.
(a) Please represent the information using a Venn Diagram.
(b) How many gamers enjoy:
i. Only RPGs?
ii. At least two genres?
iii. Exactly two genres?
iv. Action Platformers or Visual Novels, but not RPGs?
v. Action Platformers and Visual Novels, but not RPGs?
vi. None of these genres?
vii. Do not enjoy Visual Novels?
Thanks for taking the time to read Altina surveyed 300 gamers and found the following results A 160 enjoy RPG sB 140 enjoy Action PlatformersC 120 enjoy Visual NovelsD 80 enjoy RPG. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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Rewritten by : Barada
