a group of campers were polled about whether they like swimming and whether they like playing baseball. the…

a group of campers were polled about whether they like swimming and whether they like playing baseball. the data from the survey is shown in the venn diagram. use the venn diagram to find the missing values in the frequency table. which values are correct? select three options. a = 15 b = 18 c = 23 d = 35 e = 31

a group of campers were polled about whether they like swimming and whether they like playing baseball. the data from the survey is shown in the venn diagram. use the venn diagram to find the missing values in the frequency table. which values are correct? select three options. a = 15 b = 18 c = 23 d = 35 e = 31

Answer

Explanation:

Step1: Find value of a

a represents the number of campers who like both swimming and baseball. From the Venn - diagram, the intersection of swimming and baseball is 15, so $a = 15$.

Step2: Find value of b

b represents the number of campers who like baseball but not swimming. From the Venn - diagram, the part of the baseball circle that does not overlap with the swimming circle is 18, so $b = 18$.

Step3: Find value of c

c represents the number of campers who like swimming but not baseball. From the Venn - diagram, the part of the swimming circle that does not overlap with the baseball circle is 24, so $c\neq23$.

Step4: Find value of d

d represents the number of campers who do not like either swimming or baseball. From the Venn - diagram, the number outside both circles is 13, so $d\neq35$.

Step5: Find value of e

e represents the total number of campers who like baseball. The number of campers who like baseball is the sum of those who like only baseball and those who like both baseball and swimming, so $e=15 + 18=33\neq31$.

Answer:

A. $a = 15$, B. $b = 18$