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Examples of a Variable Distribution
A variable's distribution can be illustrated using both quantitative and categorical variables. For instance, in a sample of 100 students, the distribution for the quantitative variable 'number of siblings' might show that 10 students have no siblings, 30 have one, and 40 have two. Similarly, the distribution for the categorical variable 'sex' in the same sample might indicate that 44 students have a score of 'male' and 56 have a score of 'female'.
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Research Methods in Psychology - 4th American Edition @ KPU
Related
Frequency Table
Outlier
Unimodal Distribution
Skewed Distribution
Examples of a Variable Distribution
Distribution Shape
Percentile Rank
Measures of Central Tendency
Measures of Dispersion
What does the distribution of a variable describe in a dataset?
Match each term to the description that best explains its role in identifying how data is organized and spread within a dataset.
A psychologist collects 'Life Satisfaction' scores from a group of participants and notes that the scores are spread across all levels of a 1–7 scale. By creating a report that shows how many participants fall into each of these score levels, the psychologist is describing the distribution of that variable.
A psychologist is preparing to report the results of a 'Phobia Severity' study. Arrange the following steps in the logical order of analysis required to describe the distribution of the scores, from the initial setup to the final descriptive summary.
A psychologist is critiquing a research report that only lists basic summary statistics for a dataset. To judge the overall pattern and representativeness of the results, the psychologist must evaluate the ______, which describes how individual scores are spread across all levels of the measurement scale.
A researcher is designing a computer simulation for a study on 'Leadership Styles' and needs to create a Variable Distribution that clearly separates participants into two distinct groups (e.g., 'Highly Directive' and 'Highly Laissez-faire') with almost no one in between. Which strategy for spreading individual scores across the categories of this variable would best create this specific distribution?
The distribution of a variable describes only the average or central score within a dataset, rather than how all individual scores are spread across different levels or categories of that variable.
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Which of the following scenarios provides the best example of illustrating the distribution of a quantitative variable?
Match each research scenario with the specific type of variable distribution it illustrates.
A researcher collects data on the number of hours 10 students spent studying for an exam: 8, 2, 5, 2, 2, 5, 8, 2, 5, 2. Arrange the following study-hour values in order of their frequency in this distribution, starting with the value that occurred most often and ending with the value that occurred least often.
While the distribution of a quantitative variable like 'Number of Siblings' provides the frequency of each numerical value in a sample of students, the distribution of a categorical variable like 'Sex' in that same sample only lists the possible categories without providing their respective frequencies.
Based on the examples provided for variable distributions, which of the following scenarios illustrates the distribution of a categorical variable?
A critic evaluates a researcher's decision to record 'Number of Siblings' as a series of numerical values (, and so on) rather than using 'Yes' or 'No' labels. The critic notes that the numerical approach is superior for illustrating a detailed distribution because it treats the data as a(n) _____ variable.
When illustrating the distribution of a quantitative variable such as 'number of siblings,' a researcher must report both the possible numerical values (e.g., , or siblings) and the _____ of participants who hold each of those specific values.
A psychology instructor surveys 80 students about their class standing and records that 25 are freshmen, 20 are sophomores, 22 are juniors, and 13 are seniors. She presents these four frequency counts alongside their category labels. Has she correctly described the distribution of the categorical variable 'class standing' for her sample?
Analyze each research statement about a 100-student dataset and match it to the concept it best illustrates. The dataset includes a quantitative variable ('number of siblings': 10 students with 0 siblings, 30 with 1, 40 with 2) and a categorical variable ('sex': 44 male, 56 female).
A researcher is constructing and validating the distribution for the variable 'number of siblings' in a 100-person sample. Arrange the following steps in the order that best reflects sound, defensible research practice—from the first necessary decision to the final evaluative judgment.