Answer:
a) 6
b) 8
c) 14
d) 19
e) 22
f) 41
g) 25
h) 30
i) 55
Step-by-step explanation:
A two-way table is a data table that displays the frequency (or counts) of variables in two different categories, showing how they interact. The rows represent one variable, and the columns represent another, with each cell showing the frequency of data points that fit both variables.
To create a two-way table from the given Venn diagram, fill in each cell with the frequency of data points that fall into the overlapping sections of the Venn diagram.
a) The section of the Venn diagram where 'fish' and 'bird' overlap is the overlapping region of both circles. This has the value of 6, so place 6 in the corresponding cell of the two-way table.
b) The section of the Venn diagram where 'not fish' and 'bird' overlap is the part of the 'bird' circle that doesn't overlap the 'fish' circle. This has a value of 8, so place 8 in the corresponding cell of the two-way table.
c) The 'total bird' frequency is the sum of a) and b), so 6 + 8 = 14.
d) The section of the Venn diagram where 'fish' and 'not bird' overlap is the part of the 'fish' circle that doesn't overlap the 'bird' circle. This has a value of 19, so place 19 in the corresponding cell of the two-way table.
e) The section of the Venn diagram where 'not fish' and 'not bird' overlap is the area outside both circles. This has a value of 22, so place 22 in the corresponding cell of the two-way table.
f) The 'total not bird' frequency is the sum of d) and e), so 19 + 22 = 41.
g) The 'total fish' frequency is the sum of a) and d), so 6 + 19 = 25.
h) The 'total not fish' frequency is the sum of b) and e), so 8 + 22 = 30.
i) The value to place in the 'total total' cell is the sum of the totals from either the total column or the total row, which should be the same: 14 + 41 = 55, or 25 + 30 = 55.
