Question

thirty students recorded the colors of their eyes, choosing from the colors brown, blue, green, hazel, and black. this data can be appropriately summarized in a(n) ______ .
○ a. categorical frequency distribution
○ b. open - ended distribution
○ c. grouped frequency distribution
○ d. upper boundary

question 8
what type of sampling is being employed if the country is divided into economic classes and a sample is chosen from each class to be surveyed?
○ a. stratified sampling
○ b. cluster sampling

Explanation:

First Question (Eye Color Data Summary)

• Option a: Categorical frequency distribution is used for data that consists of categories (like eye colors: brown, blue, etc.). It shows how often each category occurs.
• Option b: Open - ended distribution is for data where class intervals don't have a fixed upper or lower limit, not suitable for categorical eye color data.
• Option c: Grouped frequency distribution is for numerical data grouped into intervals, not for categorical data like eye colors.
• Option d: Upper boundary is a term related to grouped data intervals, not a way to summarize categorical data.

So the correct option is a as eye colors are categorical and we want to show their frequencies.

• Option a: Stratified sampling involves dividing the population into groups (strata, here economic classes) and then taking a sample from each stratum.
• Option b: Cluster sampling divides the population into clusters and then samples entire clusters, not taking samples from each cluster's subgroup like in this case.

Since the country is divided into economic classes (strata) and a sample is taken from each class, it is stratified sampling.

Answer:

a. categorical frequency distribution

Second Question (Sampling Type)