in a survey of 44 people,it was found that 28 people like chocolate, 20 people like vanilla, and 10 people like both chocolate and vanilla icecream. Additionally,14 people like strawberry ice cream,11 people like both chocolate and strawberry ice cream and 8 like both vannilla and strawberry. Create a venn diagram to represent this information

Answer: There is no possible way to create a venn diagram for thisStep-by-step explanation:Usually, to answer this type of question, you start by putting a number on the intersection of the three circles, which is not available on your scenario. Having no number in the middle, or the intersection of the three circles is not possible. After the middle number, you would need to proceed in finding the number for the intersection of each intersection of two circles. For example if the number in the middle is 5 and it is said that 10 people like both vanilla and chocolate, you subtract the number in the middle from 10, giving you 5, then put it on the intersection of vanilla and chocolate. You then continue to do this until you put numbers on all spaces. However, if we do this on your scenario, the number for the people who only like strawberry would be negative which is unrealistic.To understand this better, I will just put an example problem and its venn diagram. So that if you just entered the wrong given, you can do it by yourself:)Example Problem:In a survey of 60 students, it was found that:32 students like basketball28 students like soccer25 students like volleyball15 students like both basketball and soccer12 students like both basketball and volleyball10 students like both soccer and volleyball6 students like all three sportsDraw a Venn diagram to represent the students’ sports preferences.Let’s go through the solution shown in your image step-by-step.Given:Basketball (B) = 32Soccer (S) = 28Volleyball (V) = 25B ∩ S = 15B ∩ V = 12S ∩ V = 10B ∩ S ∩ V = 6Step 1: Put the middle firstWe already know all three = 6.This number goes in the center where all three circles overlap.Step 2: Find the “only two” intersectionsWe subtract the middle from each pair’s total:B & S only = 15 - 6 = 9B & V only = 12 - 6 = 6S & V only = 10 - 6 = 4Step 3: Find the “only one” sectionsThese are found by subtracting everything in that circle from its total.Only Basketball = 32 - (9 + 6 + 6) = 11Only Soccer = 28 - (9 + 4 + 6) = 9Only Volleyball = 25 - (6 + 4 + 6) = 9Step 4: Find how many like noneAdd all the sections inside the circles:11 + 9 + 9 + 6 + 6 + 4 + 6 = 51Since there are 60 students total:60 - 51 = 9So 9 students like none of the three sports. Final Venn diagram numbers:Only Basketball = 11Only Soccer = 9Only Volleyball = 9B & S only = 9B & V only = 6S & V only = 4All three = 6None = 9First picture: answer to your problemSecond picture: example

Answered by glyynn | 2025-08-15