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Example of a Positively Skewed Distribution
An example of a positively skewed distribution occurs when a dataset's peak is positioned toward the lower end of its measurement range, resulting in a relatively long tail that extends outward into the positive or higher-value direction.
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Research Methods in Psychology - 4th American Edition @ KPU
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Example of a Positively Skewed Distribution
Which of the following best describes the shape of a positively skewed distribution?
In a positively skewed distribution of reaction times (where most participants are relatively fast, but a few are very slow), arrange these measures of central tendency from the lowest numerical value to the highest numerical value.
A psychologist measuring the number of errors made on a maze task finds that most participants make very few errors, while only a few participants make a high number of errors. This data set represents a positively skewed distribution.
A clinical psychologist measures 'symptoms of anxiety' in a non-clinical population and finds that while most students report very few symptoms, a few report a very high number. Analyze this positively skewed distribution by matching each term to its specific role or visual impact within this data set.
In a positively skewed distribution, the long 'tail' of the scores trails off toward the lower values of the range.
If a researcher finds that a dataset forms a 'positively skewed' distribution, what does this reveal about the concentration of scores?
A psychologist is evaluating the results of a psychometric test where the majority of participants scored very low, but a small group of high-achievers created a tail extending toward the right. When judging the validity of the arithmetic mean as a measure of the 'typical' score, the researcher identifies that the data follows a/an _____ skewed distribution, which explains why the mean is being disproportionately inflated by extreme outliers.
A psychology researcher measures the number of weekly hours spent studying by undergraduate students. Most students study very few hours, but a few study a very high number of hours. Match each characteristic of this study's positively skewed distribution to its corresponding physical description.
A developmental psychologist measures the number of times children exhibit aggressive behavior during a 10-minute free-play period. After plotting the data, the psychologist notices that most children show very little aggression (shifting the peak of scores toward the lower end of the range), but a few highly aggressive children produce a long tail trailing off toward the higher values. By analyzing these features, the psychologist can conclude that the dataset forms a _____ skewed distribution.
A researcher is evaluating a graph of response times to verify if it represents a positively skewed distribution. Arrange the following spatial features of the distribution in order from the lowest values on the scale (left) to the highest values on the scale (right).
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Which of the following describes a dataset that forms a positively skewed distribution?
If a psychology study on family size finds that most participants have only one or two children, while a very small number of participants have eight or more, this dataset would be an example of a positively skewed distribution.
A research psychologist measures the number of times college students check their smartphones during a one-hour lecture. Most students check their phones only 0 to 2 times, but a few highly distracted students check their phones 15 or more times. If graphed, this dataset would be an example of a _____ distribution.
A researcher studying the number of social media posts created per day finds that while most users post only 0–2 times, a very small group of 'power users' posts over 100 times. This creates a distribution with a high peak at the lower end and a long tail extending toward the higher values, as seen in the 'Positively Skewed' curve in the provided image. Match each measure of central tendency to its analytical behavior within this specific data structure.
A researcher studying 'Reaction Times to a Warning Signal' finds that while most participants respond very quickly (within 200 milliseconds), a small number of participants take significantly longer (over 1,000 milliseconds). The researcher claims this represents a positively skewed distribution. Referencing the 'Positively Skewed' curve in the provided image, arrange the following steps in the logical order required to evaluate and justify the researcher's claim.
A research psychologist is designing a new survey to measure 'Daily Alcohol Consumption' in a general adult population. To construct a dataset that results in a positively skewed distribution (matching the corresponding curve in the provided image), which design strategy should the researcher implement regarding the participant selection and measurement criteria?
In a positively skewed distribution, the relatively long tail of the dataset extends outward toward the lower-value (negative) direction.
Refer to the 'Positively Skewed' curve in the provided diagram. Match each structural feature of a positively skewed distribution with the statement that best describes its location or pattern in a psychological dataset.
A psychologist surveys 300 adults about the number of traumatic life events they have experienced. The vast majority of participants report 0–1 events, a moderate number report 2–3 events, and only a small handful report 6 or more. When the researcher plots these data as a histogram, the tallest bar—representing the highest frequency—appears near the _____ end of the measurement scale, while the distribution trails off gradually toward the higher values, producing a long tail in the positive direction.
A researcher collects data on the number of hours per week college students spend volunteering. Before labeling the distribution 'positively skewed' in the study report, the researcher must build a defensible, evidence-based justification. Arrange the following evaluative steps in the order that best supports that justification.