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Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. 6) Ages of survey respondents. 7) Amount of fat (in grams) in cookies. 8) The subjects in which college students major. 9) Survey responses of "good, better, best". 10) Nationalities of survey respondents. 11) The sample of spheres categorized from softest to hardest.

Ask by Perkins Gibbs. in the United States
Feb 27,2025

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6) Ages of survey respondents – Ratio 7) Amount of fat in grams – Ratio 8) College students' majors – Nominal 9) Survey responses "good, better, best" – Ordinal 10) Nationalities of survey respondents – Nominal 11) Categorized spheres from softest to hardest – Ordinal

Solución

6) Ages of survey respondents – Ratio  • Ages are measured on a numerical scale with a true zero (indicating no age), and differences/ratios are meaningful. 7) Amount of fat (in grams) in cookies – Ratio  • The measurement in grams has a true zero and supports meaningful ratios (e.g., one cookie can have twice as much fat as another). 8) The subjects in which college students major – Nominal  • Majors are categorical labels without any inherent order. 9) Survey responses of "good, better, best" – Ordinal  • These responses indicate a rank order, with "best" being higher than "better", although the exact differences between the categories are not necessarily equal. 10) Nationalities of survey respondents – Nominal  • Nationality is a categorical variable with names and no inherent ranking. 11) The sample of spheres categorized from softest to hardest – Ordinal  • The spheres are classified based on an order of softness to hardness, which conveys rank order without specifying the precise differences between each level.

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Ages of survey respondents would fall under the ratio level of measurement because age has a true zero point (age 0 represents the absence of age) and allows for meaningful comparisons, such as someone being twice as old as another. As for survey responses of "good, better, best," this represents the ordinal level of measurement. While we can rank these responses in order of quality, the exact differences between each category are not quantified. This means we know "best" is better than "good," but we can't say how much better!

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