Researchers surveyed 100 patients on their preferred procedure. Their preferences include the following: 35 patients preferred infusions, 30 preferred incision/drainage, 25 preferred wound care, and 10 preferred vital signs. What is the relative frequency for patients choosing wound care as their preferred procedure?

Rationale

The relative frequency for patients choosing wound care is 0.25.

Relative frequency is calculated by dividing the number of favorable outcomes (in this case, patients preferring wound care) by the total number of outcomes (total patients surveyed). Here, 25 patients preferred wound care out of 100 surveyed, resulting in a relative frequency of 25/100, which simplifies to 0.25.

A (0.1) YOUR ANSWER

This option represents a relative frequency of 10%, which would imply that only 10 patients preferred wound care. However, since 25 patients indicated this preference, this choice incorrectly underestimates the actual relative frequency.

B (0.25) CORRECT

This choice accurately reflects the relative frequency, as it is derived from the calculation of 25 preferred wound care out of 100 total patients. This translates to 25/100, equating to 0.25 or 25%.

C (0.3) YOUR ANSWER

This option suggests a relative frequency of 30%, which would mean that 30 patients preferred wound care. This is incorrect, as only 25 patients expressed this preference, making this choice an overestimation.

D (0.35) YOUR ANSWER

This choice indicates a relative frequency of 35%, implying that 35 patients preferred wound care. This is not accurate, as the actual number of patients who preferred wound care is 25, not 35, which makes this choice invalid.

Conclusion

The relative frequency of a preferred procedure indicates the proportion of patients selecting that option compared to the total surveyed. With 25 out of 100 patients choosing wound care, the correct relative frequency is 0.25. Other options either underestimate or overestimate the actual number, emphasizing the importance of accurate calculations in survey analyses.

The relative frequency for patients choosing wound care is 0.25.

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