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

question 71

Essay

The five-number summary for midterm scores (number of points; the maximum possible score was 50 points) from an intro stats class is:

$\begin{array}{|c|c|c|c|c|}\hline \text {Min }& \text {Q} 1 & \text { Median }& \text {Q} 3 & \text {Max} \\\hline 16.5 & 32 & 39 & 43.5 & 48.5 \\\hline\end{array}$

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:

Bicycle

A human-powered, pedal-driven vehicle with two wheels attached to a frame, one behind the other.

Information

Data, facts, or details obtained through observation, research, or instruction that can be used for analysis, decision-making, or transmission of knowledge.

Plaintiff

The party who initiates a lawsuit seeking legal remedy for an injury or injustice they have suffered.

Arbitration

A method of resolving disputes outside the courts, where the parties to a dispute refer it to one or more persons (the arbitrators, arbiters, or arbitral tribunal), by whose decision (the award) they agree to be bound.