Find the coefficient of variation for each of the two sets of data, then compare the variation. Round fesUlts t8 Sne decimai place. Listed below are the systolic blood pressures (in mm Hg) for a sample of men aged 20-29 and for a sample of men aged 60-69. Men aged 20-29: 119 125 128 118 131 123 Men aged 60-69: 134 153 139 125 164 139 O A. Men aged 20-29: 4.2% Men aged 60-69. 10.2% There is substantially more variation in blood pressures of the men aged 60-69. O B. Men aged 20-29: 3.9% Men aged 60-69: 7.8% There is substantially more variation in blood pressures of the men aged 60-69 O C. Men aged 20-29: 6.7% Men aged 60-69: 4.5% There is more variation in blood pressures of the men aged 20-29. O D. Men aged 20-29: 4.1% Men aged 60-69: 9.8 % There is substantially more variation in blood pressures of the men aged 60-69

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**Title:** Analyzing Variation in Systolic Blood Pressure Across Age Groups

**Objective:** Calculate the coefficient of variation for two age groups and compare the variability in their systolic blood pressures.

**Data Provided:**
- Systolic blood pressures (in mm Hg) for two age groups:
  - Men aged 20-29: 119, 125, 128, 118, 131, 123
  - Men aged 60-69: 134, 153, 139, 125, 164, 139

**Task:** Determine the coefficient of variation for each group and identify which group exhibits more variability in blood pressure.

**Options for Answers:**
- **A.** Men aged 20-29: 4.2%, Men aged 60-69: 10.2%
  - Interpretation: Substantially more variation in blood pressures of men aged 60-69.
- **B.** Men aged 20-29: 3.9%, Men aged 60-69: 7.8%
  - Interpretation: More variation in blood pressures of men aged 60-69.
- **C.** Men aged 20-29: 6.7%, Men aged 60-69: 4.5%
  - Interpretation: More variation in blood pressures of men aged 20-29.
- **D.** Men aged 20-29: 4.1%, Men aged 60-69: 9.8%
  - Interpretation: Substantially more variation in blood pressures of men aged 60-69.

**Instructions to Solve:**
1. Calculate the mean and standard deviation for each group.
2. Use the formula for the coefficient of variation (CV = (Standard Deviation / Mean) x 100) to find the CV for each group.
3. Compare the CVs to determine which age group has greater variability in blood pressure.

This exercise helps in understanding the concept of variability and how different age groups can exhibit different variability levels in physiological parameters.
Transcribed Image Text:**Title:** Analyzing Variation in Systolic Blood Pressure Across Age Groups **Objective:** Calculate the coefficient of variation for two age groups and compare the variability in their systolic blood pressures. **Data Provided:** - Systolic blood pressures (in mm Hg) for two age groups: - Men aged 20-29: 119, 125, 128, 118, 131, 123 - Men aged 60-69: 134, 153, 139, 125, 164, 139 **Task:** Determine the coefficient of variation for each group and identify which group exhibits more variability in blood pressure. **Options for Answers:** - **A.** Men aged 20-29: 4.2%, Men aged 60-69: 10.2% - Interpretation: Substantially more variation in blood pressures of men aged 60-69. - **B.** Men aged 20-29: 3.9%, Men aged 60-69: 7.8% - Interpretation: More variation in blood pressures of men aged 60-69. - **C.** Men aged 20-29: 6.7%, Men aged 60-69: 4.5% - Interpretation: More variation in blood pressures of men aged 20-29. - **D.** Men aged 20-29: 4.1%, Men aged 60-69: 9.8% - Interpretation: Substantially more variation in blood pressures of men aged 60-69. **Instructions to Solve:** 1. Calculate the mean and standard deviation for each group. 2. Use the formula for the coefficient of variation (CV = (Standard Deviation / Mean) x 100) to find the CV for each group. 3. Compare the CVs to determine which age group has greater variability in blood pressure. This exercise helps in understanding the concept of variability and how different age groups can exhibit different variability levels in physiological parameters.
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