A researcher records four reaction times (200, 250, 280, and 250 milliseconds) with a mean of 245 milliseconds. After adding one extreme outlier of 5,000 milliseconds, the new mean rises to 1,445 milliseconds. Why is this new mean considered an unrepresentative measure of the group's 'typical' behavior?

A cognitive psychologist collects simple reaction times from five participants: 180, 200, 190, 190, and 6,000 milliseconds. Match each statistical component to the effect produced by adding the 6,000 ms outlier.

A researcher is evaluating how a single extreme outlier affects the representativeness of the mean in a study on reaction times. Arrange the following steps to reflect the logical progression of how skew disrupts the mean's function as a measure of 'typical' behavior.

True or False: If a researcher adds an outlier of $5,000$ milliseconds to a set of four reaction times ($200$, $250$, $280$, and $250$ milliseconds), they should evaluate the resulting mean of $1,445$ milliseconds as an unrepresentative measure of typical behavior because it exceeds $80$% of the scores in the distribution.

According to the course's example of four simple reaction times ($200$, $250$, $280$, and $250$ milliseconds), adding an extreme outlier score of $5,000$ milliseconds causes the mean to rise to $1,445$ milliseconds. This specific example is used to demonstrate why researchers prefer which measure of central tendency for highly skewed distributions?

True or False: When an extreme outlier of $5,000$ milliseconds is added to a set of four reaction times ($200$, $250$, $280$, and $250$ milliseconds), the resulting mean of $1,445$ milliseconds remains a representative measure of typical behavior because it mathematically accounts for every score in the distribution.

A researcher records four simple reaction times of 200, 250, 280, and 250 milliseconds, yielding a mean of 245 milliseconds. After one extreme outlier score of 5,000 milliseconds is added to the data set, the new mean becomes _____ milliseconds.

A researcher studying reaction times encounters four different dataset scenarios. Match each scenario description to the most appropriate conclusion about which measure of central tendency best represents the data.

The addition of a single outlier score of $5,000$ ms to a dataset of four reaction times ($200$, $250$, $280$, $250$ ms) causes the mean to shift from $245$ ms to $1,445$ ms. This represents an increase of _____ ms in the mean—a change that exceeds the entire range of the four original scores combined—demonstrating how a single extreme value can move the mean far beyond what any typical participant produced.

A researcher conducting a reaction time study discovers that one participant produced an unusually slow response of $5,000$ ms, far above the other four scores ($200$, $250$, $280$, $250$ ms). The researcher must decide which measure of central tendency to report. Arrange the following steps in the order that reflects a sound, evidence-based process for choosing and justifying the most appropriate measure of central tendency.

Based on the provided example of four reaction times ($200$, $250$, $280$, and $250$ milliseconds), recall the specific statistical changes that occur when an extreme outlier of $5,000$ milliseconds is added. Identify the original mean, the new mean, and the percentage of scores that this new mean exceeds.

Explain why the new mean of $1,445$ milliseconds is not a suitable representation of typical behavior in this distribution, and explain which alternative measure of central tendency the researcher should prefer and why.

Apply the concepts of skewness and central tendency to a simple reaction time dataset consisting of $200$, $250$, $280$, and $250$ milliseconds (mean = $245$ milliseconds). If an outlier of $5,000$ milliseconds is added, causing the mean to rise to $1,445$ milliseconds, what statistical decision should a researcher make to report the typical behavior of the distribution, and how does the outlier justify this decision?