Math Problem Statement

Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal 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.

Solution

To find the coefficient of variation (CV) for each data set, we'll follow these steps:

  1. Calculate the mean (average) of each data set.
  2. Calculate the standard deviation (SD) of each data set.
  3. Compute the coefficient of variation for each data set using the formula: CV=(Standard DeviationMean)×100CV = \left( \frac{\text{Standard Deviation}}{\text{Mean}} \right) \times 100
  4. Compare the coefficients of variation to determine which group shows more variation in systolic blood pressure relative to its mean.

Please provide the systolic blood pressure data for both groups (men aged 20-29 and men aged 60-69), and I'll proceed with the calculations.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Statistics
Measures of Variation
Coefficient of Variation
Standard Deviation
Mean

Formulas

Mean = (Sum of data points) / (Number of data points)
Standard Deviation (SD) = sqrt[(Σ(data point - mean)^2) / (Number of data points)]
Coefficient of Variation (CV) = (Standard Deviation / Mean) × 100

Theorems

None specific; general statistical principles are used.

Suitable Grade Level

Grades 10-12