Question

for exercises 27 - 34, classify each variable as discrete or continuous. 27. number of street corner mailboxes in the city of philadelphia. 28. relative humidity levels in operating rooms at local hospitals. 29. number of bananas in a bunch at several local supermarkets. 30. ages of women when they were first married. 31. weights of the backpacks of first - graders on a school bus. 32. number of students each day who make appointments with a math tutor at a local college. 33. duration of marriages in america (in years). 34. ages of children in a preschool.

Explanation:

Step1: Recall definition of discrete variable

A discrete variable can only take on a countable number of distinct values.

Step2: Recall definition of continuous variable

A continuous variable can take on any value within a certain interval or set of intervals.

Step3: Analyze number of street - corner mailboxes

The number of street - corner mailboxes is a whole number and countable, so it's discrete.

Step4: Analyze relative humidity levels

Relative humidity can take on any value within a range (e.g., 0 - 100%), so it's continuous.

Step5: Analyze number of bananas

The number of bananas in a bunch is a whole number and countable, so it's discrete.

Step6: Analyze ages of women when first married

Age can be measured to a high level of precision (e.g., 25.5 years), so it's continuous.

Step7: Analyze weights of backpacks

Weight can take on any value within a range, so it's continuous.

Step8: Analyze number of students making appointments

The number of students is a whole number and countable, so it's discrete.

Step9: Analyze duration of marriages

Duration of marriages can be measured precisely (e.g., 5.25 years), so it's continuous.

Step10: Analyze ages of children in preschool

Ages of children in preschool are usually whole numbers (e.g., 3 years, 4 years), so it's discrete.

Answer:

1. Discrete
2. Continuous
3. Discrete
4. Continuous
5. Continuous
6. Discrete
7. Continuous
8. Discrete