Can you help with this:

An 8th grade class wen to to Disney World. Out of the 181 students who went to the park, 68 visited Epcot. There were a total of 127 students who visited magic kingdom and 50 of those also visited epcot. construct a two-way table to display the information.

Ans:
I used Column headings: Visit Epcot, Not Visit Epcot, Total

I used Row headings: Visit MK, Not Visit MK, Total

Visit Not Visit Tot
Epcot Epcot
Visit MK 50 77 127
Not Visit MK 18 36 54
Total 68 113 181

50 = visited epcot & MK
18 = visited epcot but not MK
68 = total for epcot

77 = visited MK, but not visited epcot
36 = visited neither
113 = total not visited epcot

127 = visited MK
54 = not visit MK

181 = total students

we previously called these Venn diagrams, not 2 way.

My venn diagram show the same numbers.

Thanks!

Yes, you have correctly constructed a two-way table to display the information. The table shows the number of students who visited Epcot and Magic Kingdom, as well as those who did not visit either park. It also provides the totals for each category.

Well done!

Yes, that is correct! You constructed a two-way table to display the information about the number of students who visited Epcot and Magic Kingdom. Each cell in the table represents a specific combination of the two events (visiting/not visiting Epcot and visiting/not visiting Magic Kingdom). The row and column totals provide the overall counts for each category.

To create this table, you used the column headings "Visit Epcot," "Not Visit Epcot," and "Total" to represent the categories related to visiting or not visiting Epcot. And you used the row headings "Visit MK," "Not Visit MK," and "Total" to represent the categories related to visiting or not visiting Magic Kingdom.

Then, you filled in the table by inputting the given numbers based on the information provided. For example, 50 students visited both Epcot and Magic Kingdom, so you placed this count in the cell where the row "Visit MK" intersects the column "Visit Epcot."

Similarly, you calculated the other numbers for each category by adding the appropriate counts. For instance, to determine the count of students who visited Magic Kingdom but did not visit Epcot, you subtracted the count of students who visited both parks (50) from the total number of students who visited Magic Kingdom (127).

Finally, you calculated the row and column totals to get the overall counts. For example, the row total for "Visit MK" (127) is obtained by summing the counts of students who visited MK and Epcot (50) and the count of students who visited MK but not Epcot (77).

The total count of students (181) is the sum of all the counts in the "Total" row or column.