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Answer :
To compare the variations of the number of pages and advertisements in women's fitness magazines, we can compute their coefficients of variation (CV).
The coefficient of variation is a relative measure of dispersion that expresses the standard deviation as a percentage of the mean. It allows us to compare the variability between different datasets, even when they have different units or scales.
Let's calculate the coefficients of variation for the number of pages and advertisements:
Coefficient of Variation (CV) for the number of pages:
CV_pages = (standard deviation of pages / mean number of pages) * 100
= (4.8 / 132) * 100
≈ 3.64%
Coefficient of Variation (CV) for the number of advertisements:
CV_ads = (standard deviation of advertisements / mean number of advertisements) * 100
= (7.9 / 182) * 100
≈ 4.34%
Comparing the coefficients of variation, we find that the coefficient of variation for the number of pages (CV_pages) is approximately 3.64%, while the coefficient of variation for the number of advertisements (CV_ads) is approximately 4.34%.
Based on these calculations, we can conclude that the variation in the number of pages in women's fitness magazines (CV_pages) is lower compared to the variation in the number of advertisements (CV_ads). This suggests that the number of pages tends to have less variability relative to its mean compared to the number of advertisements.
Learn more about statistics here:
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