Construct the Requested Table Express Relative Frequencies as Fractions B)

question 34

Multiple Choice

Construct the requested table. Round relative frequencies to the nearest hundredth of a percent, unless otherwise indicated.
-Construct a relative frequency table for the weights (in ounces) given below of 40 packages of candy. Start the
First bin at 1.500 ounces and use a bin width of 0.010 ounce.
$$\begin{array} { l l l l l l l l } 1.532 & 1.549 & 1.525 & 1.549 & 1.536 & 1.500 & 1.556 & 1.562 \\1.515 & 1.550 & 1.576 & 1.540 & 1.507 & 1.542 & 1.549 & 1.520 \\1.576 & 1.547 & 1.529 & 1.512 & 1.539 & 1.545 & 1.530 & 1.535 \\1.539 & 1.555 & 1.540 & 1.567 & 1.575 & 1.567 & 1.565 & 1.556 \\1.550 & 1.532 & 1.547 & 1.546 & 1.522 & 1.559 & 1.517 & 1.549\end{array}$$
Express relative frequencies as fractions. Do not simplify.

• A)
• \(\begin{array} { l | r }
• \text { Weight (ounces) } & \text { Relative Frequency } \\
• \hline 1.500 - 1.509 & 2 / 40 \\
• 1.510 - 1.519 & 3 / 40 \\
• 1.520 - 1.529 & 4 / 40 \\
• 1.530 - 1.539 & 7 / 40 \\
• 1.540 - 1.549 & 11 / 40 \\
• 1.550 - 1.559 & 6 / 40 \\
• 1.560 - 1.569 & 4 / 40 \\
• 1.570 - 1.579 & 3 / 40
• \end{array}\)
• B)
• \(\begin{array} { l | r }
• \text { Weight (ounces) } & \text { Relative Frequency } \\
• \hline 1.500 - 1.509 & 2 / 40 \\
• 1.510 - 1.519 & 3 / 40 \\
• 1.520 - 1.529 & 3 / 40 \\
• 1.530 - 1.539 & 8 / 40 \\
• 1.540 - 1.549 & 11 / 40 \\
• 1.550 - 1.559 & 7 / 40 \\
• 1.560 - 1.569 & 3 / 40 \\
• 1.570 - 1.579 & 3 / 40
• \end{array}\)
• C)
• \(\begin{array} { l | r }
• \text { Weight (ounces) } & \text { Relative Frequency } \\
• \hline 1.500 - 1.509 & 2 / 40 \\
• 1.510 - 1.519 & 2 / 40 \\
• 1.520 - 1.529 & 5 / 40 \\
• 1.530 - 1.539 & 7 / 40 \\
• 1.540 - 1.549 & 10 / 40 \\
• 1.550 - 1.559 & 7 / 40 \\
• 1.560 - 1.569 & 4 / 40 \\
• 1.570 - 1.579 & 3 / 40
• \end{array}\)
• D)
• \(\begin{array} { l | r }
• \text { Weight (ounces) } & \text { Relative Frequency } \\
• \hline 1.500 - 1.509 & 3 / 40 \\
• 1.510 - 1.519 & 3 / 40 \\
• 1.520 - 1.529 & 5 / 40 \\
• 1.530 - 1.539 & 8 / 40 \\
• 1.540 - 1.549 & 10 / 40 \\
• 1.550 - 1.559 & 5 / 40 \\
• 1.560 - 1.569 & 4 / 40 \\
• 1.570 - 1.579 & 2 / 40
• \end{array}\)

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Definitions:

Decreasing Opportunity Costs

A situation where the cost of forgoing the next best alternative decreases as more units of a product are produced.

Production Possibility Frontier

A curve depicting the maximum attainable combinations of two or more goods and services that can be produced with available resources and technology.

Opportunity Costs

The cost of choosing one option over another, represented by the value of the opportunities or benefits the second-best choice would have provided.