Question

lucky business conducted a survey of 114 employees to determine how many people drink coffee.
62 employees are males
80 employees responded they drink coffee
21 females do not drink coffee
defined categories (with abbreviations):
male employees (me)
employees who drink coffee (cd)

Explanation:

Step1: Find number of female employees

Total employees = 114, male employees = 62. So number of female employees $F=114 - 62=52$.

Step2: Find number of female employees who drink coffee

Number of female employees who do not drink coffee = 21. So number of female employees who drink coffee $F_{CD}=52 - 21 = 31$.

Step3: Find number of male employees who drink coffee

Total employees who drink coffee = 80. Since number of female employees who drink coffee is 31, number of male employees who drink coffee $M_{CD}=80 - 31=49$.

Step4: Find number of male employees who do not drink coffee

Number of male employees = 62. Number of male employees who drink coffee = 49. So number of male employees who do not drink coffee $M_{NCD}=62 - 49 = 13$.

We can now fill in the Venn - diagram:

• The intersection of the two circles (male employees who drink coffee) has 49.
• The part of the "Male employees" circle that is not in the intersection (male employees who do not drink coffee) has 13.
• The part of the "Employees who drink coffee" circle that is not in the intersection (female employees who drink coffee) has 31.
• The number of female employees who do not drink coffee (outside the "Employees who drink coffee" circle but inside the "Female employees" part of the universal set) is 21.

Answer:

Male employees who drink coffee: 49, Male employees who do not drink coffee: 13, Female employees who drink coffee: 31, Female employees who do not drink coffee: 21 (These values are used to fill the Venn - diagram)