In a Venn diagram reflecting data from a fall movie theater survey with 6525 people, 3123 wore shorts, 3402 wore pants, and those wearing denim totaled based on the given percentages.
Creating a Venn diagram for this information involves three categories: people wearing shorts, people wearing pants, and people wearing denim. Let's represent these sets in a Venn diagram:
Total Observations
(6525 people)
_______
| |
____|Shorts |____
| |_______| |
Pants | | Denim
(Not Denim) | | (Shorts & Pants)
_______ | | _______
| | | | | |
| Pants |_____| |_________| Denim |
|________| | | |(Shorts) |
|_______| |_______|
In the diagram:
- The circle on the left represents people wearing pants (not denim).
- The circle on the right represents people wearing denim.
- The overlap represents people wearing denim both with shorts and pants.
The values can be filled in as follows:
- Total Observations: 6525 people
- People with Shorts: 3123 people
- People with Pants (Not Denim): Calculated as Total Observations - People with Shorts = 6525 - 3123 = 3402 people
- People with Denim (Shorts & Pants): Calculated as 45% of People with Shorts + 88% of People with Pants = 0.45 * 3123 + 0.88 * 3402 = Total Denim Wearers
- People with Denim Shorts: Calculated as 45% of People with Shorts = 0.45 * 3123 = Denim Shorts
- People with Denim Pants: Calculated as 88% of People with Pants = 0.88 * 3402 = Denim Pants
You can fill in these values to create a more accurate representation based on the percentages given.