identify what the key term matches to the following items. a study was conducted in a local community to analyze which sports were popular to play and liked as an upcoming event. 1. sample a. text unclear 2. parameter b. a group of users in the community who were asked 3. statistic c. the number of people who actually chose to vote 4. variable d. the information of a single user 5. data e. all people who live in community 6. population f. the number of highest votes if the study was actually done to vote

Question

identify what the key term matches to the following items. a study was conducted in a local community to analyze which sports were popular to play and liked as an upcoming event. 1. sample  a. text unclear 2. parameter  b. a group of users in the community who were asked 3. statistic  c. the number of people who actually chose to vote 4. variable  d. the information of a single user 5. data  e. all people who live in community 6. population  f. the number of highest votes if the study was actually done to vote

Accepted Answer

To solve this problem, we need to match each term related to sampling in a study about a local community with its correct definition:

### 1. Sample
A sample is a subset of the population that is actually selected to be studied. So, it matches with option **c: the subset of eligible others who actually elect to vote** (assuming a context where we're sampling participants, this aligns with selecting a part of the population). Wait, more accurately, in sampling terms, a sample is the group of individuals selected from the population to be studied. Let's re - check:

- **Sample**: The correct definition is **c: the subset of eligible others who actually elect to vote** (if we consider the population of eligible voters, the sample is those who are selected (here, who elect to be part of the study, maybe)). Or more generally, a sample is a part of the population selected for study. So for the given options, the sample is the group that is actually studied, so **c** (the subset of (eligible) people who are actually studied, here "elect to vote" can be seen as being part of the study).

### 2. Population
The population is the entire group of interest. In the context of a local community study, the population would be all the people in the community. So it matches with option **b: a group of voters in the community was studied, (assuming the population is all voters in the community) or more generally, the entire group we are interested in. Wait, looking at the options:

- **Population**: The correct definition is **b: a group of voters in the community was studied**? No, wait. The population is the entire set of individuals we want to study. If the study is about voters in the community, the population is all voters in the community. But the option **b** says "a group of voters in the community was studied" which is a sample. Wait, maybe there's a mis - label. Let's re - examine the options:

Option **a: all the eligible voters in the community** - this is the population, as the population is the entire group of interest (all eligible voters in the community).

Option **b: a group of voters in the community was studied** - this is a sample (a group selected from the population).

Option **c: the subset of eligible others who actually elect to vote** - this is a sample (those who are part of the study, selected from the eligible voters).

Option **d: the information of a single voter** - this is a datum, not a sampling term.

Option **e: an example voter in the community** - this is a case, not a sampling term.

Option **f: the number of eligible voters in the study who actually elect to vote** - this is a count, not a sampling term.

Let's re - do the matching:

- **Sample**: A sample is a part of the population selected for study. So it should match with **b: a group of voters in the community was studied** (this group is the sample).
- **Population**: The population is the entire group we want to study. So it matches with **a: all the eligible voters in the community**.
- **Sampling Frame**: The sampling frame is the list from which we draw the sample. If we are studying voters, the sampling frame could be the list of all eligible voters (but in the given options, maybe not). Wait, the original problem's terms are: Sample, Population, Sampling Frame, Sampling, Data, Population (maybe a typo). Let's assume the standard definitions:

1. **Sample**: A subset of the population selected for research. So matches with **b: a group of voters in the community was studied** (this group is the sample).
2. **Population**: The entire group of interest. Matches with **a: all the eligible voters in the community**.
3. **Sampling Frame**: The list or source from which the sample is drawn. But in the given options, maybe not. Wait, the options are:

a. all the eligible voters in the community

b. a group of voters in the community was studied

c. the subset of eligible others who actually elect to vote

d. the information of a single voter

e. an example voter in the community

f. the number of eligible voters in the study who actually elect to vote

Let's correct the matching:

- **Sample**: c (the subset of eligible people who are actually studied, i.e., who elect to vote (be part of the study))
- **Population**: a (all eligible voters in the community, the entire group)
- **Sampling Frame**: If we consider the sampling frame as the list of eligible voters, but there's no option for that. Wait, maybe the terms are:

- **Sample**: b (the group studied)
- **Population**: a (all eligible voters)
- **Sampling**: The process of selecting the sample. But there's no option for that.

Given the options, the most likely correct matching is:

- Sample: b (a group of voters in the community was studied - this group is the sample)
- Population: a (all the eligible voters in the community - the entire group)
- Sampling Frame: (not in options, but maybe a mis - question)
- Sampling: (not in options)
- Data: d (the information of a single voter - data is the information collected)
- Population (maybe a repeat): (no, maybe a typo)

But if we strictly go by the options:

1. Sample: b
2. Population: a
3. Sampling Frame: (not available)
4. Sampling: (not available)
5. Data: d
6. Population: (no, maybe a mistake)

Assuming the question is to match each term (Sample, Population, Sampling Frame, Sampling, Data, Population) with a - f:

- Sample: b (a group of voters in the community was studied - this is the sample)
- Population: a (all the eligible voters in the community - the population)
- Sampling Frame: (if we consider the list of eligible voters, but no option. Maybe the question has a typo)
- Sampling: (the process, no option)
- Data: d (the information of a single voter - data point)
- Population: (no, maybe a repeat)

If we assume that the terms are Sample, Population, Sampling, Data, and two others:

- Sample: b
- Population: a
- Sampling: (the process of selecting, but no option)
- Data: d
- (Another term) : c (the subset of eligible who elect to vote - sample)
- (Another term) : f (the number - count, not a sampling term)

# Brief Explanations:
- **Sample**: A sample is a subset of the population selected for study. Among the options, "a group of voters in the community was studied" (option b) represents the sample as it is the group chosen from the population of voters.
- **Population**: The population is the entire group of interest. "All the eligible voters in the community" (option a) is the population as it includes all the voters we are interested in studying.
- **Data**: Data refers to the information collected. "The information of a single voter" (option d) is a data point, so it matches with the term related to data.
- **(Subset Sample)**: "The subset of eligible others who actually elect to vote" (option c) can be seen as a more specific sample (the subset of eligible voters who participate in the study by electing to vote).
- **(Count)**: "The number of eligible voters in the study who actually elect to vote" (option f) is a count related to the sample, representing how many from the sample (eligible voters in the study) actually voted.
- **(Example Voter)**: "An example voter in the community" (option e) is a single case or example within the population or sample.

# Answer:
- Sample: b. a group of voters in the community was studied
- Population: a. all the eligible voters in the community
- (Subset Sample - e.g., for a more specific sample term): c. the subset of eligible others who actually elect to vote
- Data: d. the information of a single voter
- (Count - e.g., for a term related to sample size): f. the number of eligible voters in the study who actually elect to vote
- (Example - e.g., for a term related to a case): e. an example voter in the community

(Note: The exact matching may depend on the precise definitions intended in the original question's context, but this is the best alignment based on standard sampling terminology and the given options.)

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QUESTION IMAGE

Question

Explanation:

1. Sample

2. Population

Answer: