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Chapter 12: Problem 1

Five subjects were weighed before and after an 8-week exercise program. What is the average amount of weight lost in pounds for all five subjects, rounded to the nearest pound? $$\begin{array}{|c|c|c|} \hline \text { Subject } & \begin{array}{c} \text { Starting } \\ \text { Weight } \\ \text { (pounds) } \end{array} & \begin{array}{c} \text { Final } \\ \text { Weight } \\ \text { (pounds) } \end{array} \\ \hline 1 & 184 & 176 \\ \hline 2 & 200 & 190 \\ \hline 3 & 221 & 225 \\ \hline 4 & 235 & 208 \\ \hline 5 & 244 & 225 \\ \hline \end{array}$$ (A) 12 pounds (B) 13 pounds (C) 14 pounds (D) 15 pounds

Short Answer

Expert verified
The short answer based on the provided step-by-step solution is: The average amount of weight lost in pounds for all five subjects, rounded to the nearest pound, is \(12\) pounds.

Step by step solution

01

Calculate the weight difference for each subject

To do this, subtract the final weight from the starting weight for each subject. 1. Subject 1: \(184 - 176 = 8\) 2. Subject 2: \(200 - 190 = 10\) 3. Subject 3: \(221 - 225 = -4\) (this subject gained weight, so the result is negative) 4. Subject 4: \(235 - 208 = 27\) 5. Subject 5: \(244 - 225 = 19\)
02

Sum up the weight differences

Now, add all the weight differences to find the total weight difference for all five subjects. Total weight difference = \(8 + 10 - 4 + 27 + 19 = 60\)
03

Calculate the average weight difference

Divide the total weight difference by the number of subjects (5) to find the average weight difference. Average weight difference = \(60 \div 5 = 12\)
04

Identify the correct answer

Since the average weight difference is 12 pounds (rounded to the nearest pound), the correct answer is: (A) 12 pounds

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