1.A clinical trial is conducted to compare the effectiveness of two different drugs in reducing blood pressure. The blood pressure reductions (in mmith)observed for each drug are as follows: A: Mean reductoon=25mmilgy,StandardDeviation=5montgoMeanreductoon=30mmilgg,StandardDeviatoon=10mmilggyl Drug B: 1. Calculate the Coefficient of Variation (CV) for both drugs. (10 points) II.Based on the CV.which drug shows more consistent results? (10 points) III. Explain why the Coefficient of Variation is a better measure of consistency in this case compared to the standard deviation (5 points)

I. To calculate the Coefficient of Variation (CV) for both drugs, we can use the formula:<br /><br />CV = (Standard Deviation / Mean) * 100<br /><br />For Drug A:<br />CV = (5 mmHg / 25 mmHg) * 100 = 20%<br /><br />For Drug B:<br />CV = (10 mmHg / 30 mmHg) * 100 = 33.33%<br /><br />II. Based on the CV, Drug A shows more consistent results as it has a lower CV (20%) compared to Drug B (33.33%). A lower CV indicates that the data points are closer to the mean, which means more consistency.<br /><br />III. The Coefficient of Variation is a better measure of consistency in this case compared to the standard deviation because it takes into account the relative variability of the data. While the standard deviation provides information about the absolute dispersion of the data, the CV normalizes it by the mean, allowing for a comparison of consistency across different datasets with different means. This is particularly useful when comparing the consistency of drugs with different effectiveness levels, as it allows us to assess the relative consistency of each drug.