In a survey of 200 MDM4U students, the following information was found: 68 enjoy crosswords, 97 enjoy baking, 71 enjoy acting, 20 enjoy acting and crosswords, 29 enjoy acting and baking, 23 enjoy baking and crosswords, 28 do not enjoy any of those three activities. Explaining any calculations, a. How many people enjoy all three activities?  b. How many people enjoy only acting, and only baking?  c. Create a Venn diagram that depicts the number of students who enjoy the activities. You may draw your diagram and scan or photograph it, you may create it electronically, or if you are unable to complete this activity visually, you may describe the components of the diagram in detail.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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In a survey of 200 MDM4U students, the following information was found:
68 enjoy crosswords,
97 enjoy baking,
71 enjoy acting,
20 enjoy acting and crosswords,
29 enjoy acting and baking,
23 enjoy baking and crosswords,
28 do not enjoy any of those three activities.
Explaining any calculations,

a. How many people enjoy all three activities? 

b. How many people enjoy only acting, and only baking? 

c. Create a Venn diagram that depicts the number of students who enjoy the activities. You may draw your diagram and scan or photograph it, you may create it electronically, or if you are unable to complete this activity visually, you may describe the components of the diagram in detail. 

 
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how did you get the number 14 for the people that only enjoy acting thats not even possible 

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