week 3

During week 3 we worked on story problems with venn diagrams where we had to use the information given in the story problem and put it into a venn diagram.

The tricky part about this was the people in the story problem voted on their favorite activities and some voted more  than once and some did not vote for any of the activities. Most people figured it out but others including me had trouble getting the numbes to add up to the total number of people who voted.

example

350 people were surveyed on which winter sport activity they liked, ski, snowboard, or ice skate.
below are the results they came up with

154 like to snowboard
178 like to ski
57 like to ice skate
2  snowboard and ice skate
49 ski and snowboard
15 ski and ice skate
2 like all three

from this information we set up a venn diagram of three intercepting circles with each one being either ski, snowboard, or ice skate. from there we started with the intercepting parts becuase it would make things less complicated, so 2 people liked all three so we put that number in the middle of all three circles. 15 liked ski and ice skate and what we did with the 15 was subtract it with 2 becuase we already knew 2 people liked to do those two activities including snowboard. We also subtracted 2 from the 49 who liked to ski and snowboard and the 2 who liked to snowboard and ice skate. from there we started adding the number of people who liked only one activitiy. we had to subtract the ski, snowboard and ice skate from the middle numbers in the circles becuase they were already accounted for. Lastly we added up the total and subtracted that from the final total we should have to get 25 people who like neither one of the activities.

From this activity we did another one like it that was a little easier to do becuase we had went through this one to better understand what we were doing.