Question

In Exercises 21–24, find the coefficient of variation for each of the two samples; then compare the variation. (The same data were used in Section 3-1.)

Pulse Rates Listed below are pulse rates (beats per minute) from samples of adult males and females (from Data Set 1 “Body Data” in Appendix B). Does there appear to be a difference?

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Accepted Answer

Step 1: Understand the coefficient of variation (CV). The CV is a standardized measure of dispersion of a probability distribution or data set. It is calculated as the ratio of the standard deviation (σ) to the mean (μ), expressed as a percentage: CV = (σ / μ) × 100. Step 2: Identify the data for the two samples (males and females). Extract the pulse rate data for each group from the provided image or dataset. Ensure you have the mean (μ) and standard deviation (σ) for each group. Step 3: Calculate the coefficient of variation for the male sample. Use the formula CV = (σ / μ) × 100, where σ is the standard deviation of the male pulse rates and μ is the mean of the male pulse rates. Step 4: Calculate the coefficient of variation for the female sample. Similarly, use the formula CV = (σ / μ) × 100, where σ is the standard deviation of the female pulse rates and μ is the mean of the female pulse rates. Step 5: Compare the coefficients of variation for the two samples. A higher CV indicates greater relative variability in the data. Analyze whether the male or female pulse rates exhibit more variation and discuss whether there appears to be a difference in variability between the two groups.

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주요 개념

Coefficient of Variation

Standard Deviation

Mean