Given the following dataset of 4th grade students participating in a healthy weight program: Participant 1 weight = 75 lbs, Participant 2 weight = 80 lbs, Participant 3 weight = 84 lbs, Participant 4 weight = 96 lbs, Participant 5 weight = 110 lbs. What is the mean weight?

Rationale

The mean weight of the participants is 89 lbs.

To calculate the mean weight, you sum all the individual weights and divide by the number of participants. In this case, the total weight of the five participants is 445 lbs, and dividing this by 5 gives the mean weight of 89 lbs.

A (84 lbs) YOUR ANSWER

This choice is incorrect because it does not reflect the calculation of the mean. The total weight of the participants is 445 lbs, and dividing this by 5 does not yield 84 lbs.

B (91 lbs) YOUR ANSWER

This option is also incorrect. While it may seem close, the accurate calculation shows that the mean weight is lower than 91 lbs. Summing the weights and dividing by the number of participants confirms that this value does not represent the mean.

C (89 lbs) CORRECT

This is the correct answer. The mean is calculated by adding the weights (75 + 80 + 84 + 96 + 110 = 445) and dividing by the number of participants (5), resulting in 89 lbs.

D (90 lbs) YOUR ANSWER

This choice is incorrect as well. The total weight is 445 lbs, and dividing by 5 yields 89 lbs, not 90 lbs. Therefore, this option does not accurately represent the computed mean.

Conclusion

The mean weight of the participants in the healthy weight program is 89 lbs, calculated by averaging their total weights. Each incorrect option fails to reflect the correct arithmetic or simply misrepresents the mean derived from the provided data. Understanding how to compute the mean is essential in analyzing datasets accurately.

Given the following dataset of 4th grade students participating in a healthy weight program: Participant 1 weight = 75 lbs, Participant 2 weight = 80 lbs, Participant 3 weight = 84 lbs, Participant 4 weight = 96 lbs, Participant 5 weight = 110 lbs. What is the mean weight?

The mean weight of the participants is 89 lbs.

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