In psychological research, what is the primary reason the range can be a highly misleading measure of variability for a set of scores?

If a researcher observes a very large range in a dataset, they can safely conclude that the majority of the individual scores are widely dispersed from one another.

A psychology researcher is evaluating the variability of three different groups of scores on a memory task (scored from $0$ to $100$). Match each dataset to the statement that best analyzes how the range represents the dispersion of that specific group.

A psychology researcher is evaluating how accurately the range represents the typical variability of scores in different datasets. Arrange these research outcomes in order from the most representative (least misleading) range to the most misleading (least representative) range.

True or False: The range is often a misleading measure of variability because its value can be drastically increased by the presence of even a single extreme score.

A psychology researcher collects anxiety scores (on a scale of $1$ to $50$) for a small group: $10$, $12$, $13$, $15$, and $48$. Although the calculated range is $38$ ($48 - 10$), why does this value provide a misleading description of the variability in this group?

A psychology researcher collects scores from an anxiety scale (scored 0–100) for five participants: 20, 22, 24, 26, and 28. If a sixth participant is added to the study with an extreme score of 100, the new range for this dataset is _____.

A psychology researcher is evaluating exam scores across three different sections. Match each exam score dataset to the statement that describes the impact of its outlier status on the range.

A researcher calculates the range for exam scores where most students scored between $90$ and $100$, but one student scored $20$. The researcher notes that the range increases from $10$ to $80$. In this scenario, the score of $20$ is acting as an _____ which drastically inflates the range.

A researcher wants to evaluate how misleading the range is as a measure of variability in different datasets of exam scores. Order these scenarios from the least misleading range (most representative of the overall variability) to the most misleading range (least representative of the overall variability due to outlier impact).

Explain how the presence of a single extreme score affects the calculation of the range and why this makes the range a potentially misleading measure of variability in a distribution.

Based on the provided context, identify the outlier, explain how its inclusion alters the calculated range compared to the range of the other nine participants, and explain why the resulting range is a misleading representation of the group's general performance variability.

A clinical researcher measures reaction times (in milliseconds) for five participants under a stress condition: 350, 360, 365, 370, and 950. Calculate the range of this dataset, and explain in two sentences how the researcher should interpret this range regarding the actual variability of the participants' reaction times.