Question

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

Explanation:

Step1: Calculate \(a\)

\(a\) is the number of campers who like both swimming and baseball. From the Venn diagram, \(a = 15\).

Step2: Calculate \(b\)

\(b\) is the number of campers who like baseball only. From the Venn diagram, \(b=18\).

Step3: Calculate \(c\)

\(c\) is the total number of campers who like baseball. \(c=a + b=15 + 18=33
eq23\).

Step4: Calculate \(d\)

\(d\) is the total number of campers who like swimming. \(d=a + 24=15+24 = 39
eq35\).

Step5: Calculate \(e\)

\(e\) is the number of campers who do not like swimming. \(e=18 + 13=31\).

Answer:

A. \(a = 15\), B. \(b = 18\), E. \(e = 31\)