Question

a group of 50 people were asked their gender and if they liked cats. the data from the survey are shown in the venn diagram. determine the value for each variable in the two - way table. a = b = c = d = e =

	likes	dislikes	total
male	c	16	d
total	19	e	50

Explanation:

Step1: Find value of c

From Venn - diagram, number of males who like cats is 6, so $c = 6$.

Step2: Find value of a

Total number of people who like cats is 19. Since $c = 6$, then $a=19 - 6=13$.

Step3: Find value of b

Number of females who dislike cats is 15 and $a = 13$, so $b=a + 15=13 + 15 = 28$.

Step4: Find value of d

Number of males who dislike cats is 16 and $c = 6$, so $d=c + 16=6+16 = 22$.

Step5: Find value of e

Total number of people is 50 and total number of people who like cats is 19, so $e=50 - 19=31$.

Answer:

$a = 13$
$b = 28$
$c = 6$
$d = 22$
$e = 31$