The Five-Number Summary for Midterm Scores (Number of Points; the Maximum

question 88

Essay

The five-number summary for midterm scores (number of points; the maximum possible
score was 50 points) from an intro stats class is: $$\begin{array} { | c | c | c | c | c | } \hline \text { Min } & \mathrm { Q } 1 & \text { Median } & \text { Q3 } & \text { Max } \\\hline 16.5 & 32 & 39 & 43.5 & 48.5 \\\hline\end{array}$$
a. Would you expect the mean midterm score of all students who took the midterm to be
higher or lower than the median? Explain.
b. Based on the five-number summary, are any of the midterm scores outliers? Explain.

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Definitions:

Additive Tasks

Tasks where the contributions of each member of a group are combined to produce a final outcome.

Conjunctive Tasks

Tasks that can only be completed successfully if all group members contribute, with the group's overall performance limited by its weakest link.

Conscientiousness

A personality trait characterized by thoroughness, reliability, and a strong sense of duty.

Transition Processing

The cognitive and psychological processes involved in adjusting to new situations or changes in one's environment, often requiring the reevaluation of previous assumptions or behaviors.