1.)In a survey of 125 dancers, 73 knew the ballroom dances, 62 knew the Latin dances, and 49 knew the swing dances. Of these, 23 knew the ballroom and swing dances, 35 knew the ballroom and Latin dances, and 29 knew the Latin and swing dances. Twelve dancers indicated that they knew all three styles of dance. Create a Venn diagram to reflect the above data, label your diagram clearly and submit to the W1: Assignment 4 Dropbox. Use your diagram to answer the following questions here.
(a) How many knew only the ballroom dances? 27
(b) How many knew only the swing dances? 19
(c) How many knew exactly two of the three dances? 51
(d) How many knew the Latin and swing dances, but not the ballroom dances? 17
(e) How many knew none of these dances? 6
2.) A survey of fruit tree growers showed the following: 75 grew raspberries 11 grew both raspberries and blueberries 40 grew blueberries 10 grew both raspberries and strawberries 27 grew strawberries 14 grew both blueberries and strawberries 4 grew all three types 9 grew none of these three Create a Venn diagram to reflect the above data, label your diagram clearly and submit to the W1: Assignment 4 Dropbox. Use your diagram to answer the following questions here.(a) How many grew only raspberries? 58
(b) How many grew both strawberries and raspberries, but not blueberries? 6
(c) How many grew only strawberries? 7
(d) How many grew none of these three or only blueberries? 28
(e) How many fruit tree growers were surveyed? 120
3.) An electronics store surveyed every 12th customer who came into the store for a week. Of the 121 people who responded, 46 people watched movies on VHS tapes. 82 people watched movies on DVDs. 16 people watched movies both on VHS tapes and DVDs. Create a Venn diagram to reflect the above data, label your diagram clearly and submit to the W1: Assignment 4 Dropbox. Use your diagram to answer the following questions here.
i. Of those surveyed, how many watched only VHS tapes? 30
ii. Of those surveyed, how many watched only DVDs? 66
iii. Of those surveyed, how many watched VHS tapes or DVDs, but not both? 96
iv. Of those surveyed, how many watched VHS tapes or DVDs, or both?112
