The Five-Number Summary for the Weights (In Pounds) of Fish

question 27

Essay

The five-number summary for the weights (in pounds) of fish caught in a bass tournament
is:
$$\begin{array} { | c | c | c | c | c | } \hline \text { Min } & \text { Q1 } & \text { Median } & \text { Q3 } & \text { Max } \\\hline 2.3 & 2.8 & 3.0 & 3.3 & 4.5 \\\hline\end{array}$$

a.Would you expect the mean weight of all fish caught to be higher or lower than the median? Explain.
b.You caught 3 bass weighing 2.3 pounds, 3.9 pounds, and 4.2 pounds. Were any of your
fish outliers? Explain.

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Definitions:

Metacontrast Principle

is a concept in social psychology that describes how people compare and contrast themselves with others in a group, focusing on differences rather than similarities.

Ingroup Norms

The unwritten rules and behaviors that are considered acceptable and expected within a group of which one is a member.

Outgroup Norms

The behaviors, values, or standards that are adopted by groups seen as different or external to one's own identity or social group.

Loaded Questions

Questions that contain a controversial or unjustified assumption, often used to trap the respondent into a specific answer.