Statistical Data Literacy D772
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Free Statistical Data Literacy D772 Questions
A statistic is a:
- constant that describes some particular characteristic of a population.
- value calculated from the observations in a sample to describe a particular characteristic of that sample.
- complete set of all observations that might occur as a result of performing a particular procedure according to specified conditions.
- graphic device for displaying a large set of data.
Explanation
Explanation
A statistic is a numerical value computed from sample data. It summarizes a specific feature of that sample, such as the sample mean or sample proportion, and is often used to make inferences about a larger population. A constant that describes a population is called a parameter, not a statistic. Therefore, a statistic refers to a value calculated from observations in a sample.Correct Answer Is:
value calculated from the observations in a sample to describe a particular characteristic of that sample.Why the other options are incorrect:
What does the Empirical Rule state about the percentage of data within two standard deviations of the mean in a normal distribution?
- About 99.7 percent
- About 95 percent
- About 50 percent
- About 68 percent
Explanation
Explanation
The Empirical Rule, also known as the 68–95–99.7 rule, describes how data are distributed in a normal distribution. It states that approximately 68 percent of the data fall within one standard deviation of the mean, about 95 percent fall within two standard deviations, and about 99.7 percent fall within three standard deviations. Therefore, about 95 percent of the data lie within two standard deviations of the mean.Correct Answer Is:
About 95 percentWhat does the term "sample" refer to in statistics?
- A complete set of individuals in a study
- A subset of individuals chosen from a larger population
- The entire population being studied
- Randomly selected data points from a dataset
Explanation
Explanation
In statistics, a sample is a smaller group selected from a larger population for the purpose of study. Researchers analyze the sample to make inferences about the entire population. A sample does not include every individual, and it is not the same as the full population. Therefore, a sample is a subset chosen from a larger population.Correct Answer Is:
A subset of individuals chosen from a larger populationA statistic is
- Any numerical value describing a sample
- A subset of a population
- Two SDs on either side of the mean value
- A numerical value that describes an entire population
Explanation
Explanation
A statistic is a numerical value calculated from sample data to summarize a characteristic of that sample. Examples include a sample mean, sample proportion, or sample standard deviation. It does not describe an entire population, since that would be called a parameter. Therefore, a statistic refers to a numerical summary derived from a sample.Correct Answer Is:
Any numerical value describing a sampleWhy the other options are incorrect:
In drawing conclusions about a population, researchers select a group from within the larger population; this is called a:
- Median
- Test
- Conclusion
- Sample
Explanation
Explanation
When researchers want to draw conclusions about a large population, they often select a smaller group to study. This smaller group is intended to represent the larger population and is used to make statistical inferences. The term for this selected subgroup is a sample. It is not a median, test, or conclusion, but rather the subset chosen for analysis.Correct Answer Is:
SampleData is a collection of text, numbers, images, etc. that has NOT been
- stored
- used
- programmed
- collected
- processed
Explanation
Explanation
Data consist of raw facts, figures, or observations that have not yet been analyzed or interpreted. Before processing, data remain in their original form and have not been organized into meaningful information. Once data are processed, they are transformed into information that can be interpreted and used for decision making. Therefore, data are defined as a collection of items that have not been processed.Correct Answer Is:
processedWhat characterizes a volunteer sample?
- A random selection of individuals from the entire population.
- A sample that includes only those who are invited to participate.
- Individuals select themselves to be included in a study or experiment.
- A sample that is chosen based on the researcher's convenience.
Explanation
Explanation
A volunteer sample is one where individuals choose to participate in the study or experiment, rather than being randomly selected or invited. This can introduce bias, as those who volunteer may have different characteristics or interests than those who do not. Unlike random sampling, volunteer sampling does not ensure that the sample is representative of the population.Correct Answer Is:
Individuals select themselves to be included in a study or experiment.What is cluster sampling?
- Selecting individuals randomly from the entire population without regard to any groups or clusters.
- Dividing the population into clusters and randomly selecting a few clusters to include all individuals within those clusters.
- Sampling only from the largest subgroup within the population.
- Choosing individuals based on specific characteristics without random selection.
Explanation
Explanation
In cluster sampling, the population is divided into groups or clusters, often based on geographical or organizational factors. A few of these clusters are then randomly selected, and all individuals within the selected clusters are included in the sample. This method is often used when it's difficult or impractical to sample the entire population.Correct Answer Is:
Dividing the population into clusters and randomly selecting a few clusters to include all individuals within those clusters.Which option represents the definition of a statistic?
- A controlled selection of sample items from a given population
- A random selection of sample items from a given population
- A data value from a sample that is the form of a number, which can be used to make an inference about a population
- A data value from a population that is the in the form of a number, which can be used to make an inference about a sample
Explanation
Explanation
A statistic is a numerical value calculated from sample data. It summarizes some aspect of the sample, such as a sample mean or sample proportion, and is used to make inferences about the broader population. Options A and B describe sampling methods rather than a numerical summary. Option D describes a parameter, which refers to a numerical value from a population. Therefore, the correct description of a statistic is a numerical value derived from a sample.Correct Answer Is:
A data value from a sample that is the form of a number, which can be used to make an inference about a populationWhy the other options are incorrect:
What type of error occurs when the list used to select a sample is wrong or incomplete?
- Self Interest Study
- Sampling Frame Error
- Perceived Lack of Anonymity
- Loaded Question
Explanation
Explanation
A sampling frame error occurs when the list or source used to select participants does not accurately represent the population. If the list is incomplete, outdated, or incorrect, some members of the population may have no chance of being selected. This leads to bias and reduces the representativeness of the sample.Correct Answer Is:
Sampling Frame ErrorHow to Order
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