TESTING In an effort to discourage her students from...

TESTING In an effort to discourage her students from guessing on multiple-choice tests, a professor uses the grading scale shown in the table in the next column. If unsure of an answer, a student does best to skip the question, because incorrect responses are penalized very heavily. Find the test score of a student who gets 12 correct and 3 wrong and leaves 5 questions blank. $$\begin{array}{lc} \text { Response } & \text { Value } \\ \hline \text { Correct } & +3 \\ \hline \text { Incorrect } & -4 \\ \hline \text { Left blank } & -1 \end{array}$$

TESTING In an effort to discourage her students from guessing on multiple-choice tests, a professor uses the grading scale shown in the table in the next column. If unsure of an answer, a student does best to skip the question, because incorrect responses are
penalized very heavily. Find the test score of a student who gets 12 correct and 3 wrong and leaves
5 questions blank.
$$\begin{array}{lc}
\text { Response } & \text { Value } \\
\hline \text { Correct } & +3 \\
\hline \text { Incorrect } & -4 \\
\hline \text { Left blank } & -1
\end{array}$$

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Key Concepts

Arithmetic Operations in Score Computation

The final score in a weighted scoring system is calculated by multiplying each type of response by its corresponding point value and then summing these products. This method of computation utilizes basic arithmetic operations—multiplication and addition—to aggregate the contributions from each category into a total score.

Penalty for Incorrect Answers

Using penalties for incorrect responses is a strategy designed to discourage guessing on tests. By assigning a negative score to wrong answers, the scoring system incentivizes students to only answer when they are reasonably sure, thereby attempting to obtain a more accurate measure of their knowledge.

Weighted Scoring System

A weighted scoring system assigns different point values to various responses, such as correct answers, incorrect answers, and omitted responses. This approach allows for a more nuanced evaluation than simply counting correct responses, as it reflects both positive and negative contributions based on the answer choices.

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