1 answer
(click or scroll down)
Bot GPT-4o Let's classify each measurement system into one of the four types of scales: nominal, ordinal, interval, or ratio.
a. Your checking account number as a name for your account
**Type of Scale: Nominal**
- Nominal scales are used for labeling variables without any quantitative value. Your checking account number serves as an identifier and does not imply any order or numerical value.
b. The order in which you were eliminated in a spelling bee as a measure of your spelling ability
**Type of Scale: Ordinal**
- Ordinal scales depict order. The order of elimination shows a ranking, from the best speller (eliminated last) to the worst speller (eliminated first).
c. Your score on the first statistics test as a measure of your knowledge of statistics
**Type of Scale: Interval**
- Interval scales have meaningful intervals between measurements but no true zero point. Test scores can show the difference in knowledge levels, but a score of zero does not mean "no knowledge."
d. Your score on an individual intelligence test as a measure of your intelligence
**Type of Scale: Interval**
- Just like with test scores, intelligence test scores are interval-scaled because they show differences but do not have an absolute zero.
e. The distance around your forehead measured with a tape measure as a measure of your intelligence
**Type of Scale: Ratio**
- Ratio scales have all the properties of interval scales, and also a true zero point. The distance measured has a meaningful zero, and ratios can be interpreted.
f. A response to the statement "Abortion is a woman's right" where "Strongly Disagree" = 1, "Disagree" = 2, "No Opinion" = 3, "Agree" = 4, and "Strongly Agree" = 5, as a measure of attitude toward abortion
**Type of Scale: Ordinal**
- This is an ordinal scale because the responses are ranked and ordered, but the intervals between them are not necessarily equal.
g. Times for swimmers to complete a 50-meter race
**Type of Scale: Ratio**
- Time measurements are on a ratio scale because they include a true zero point and allow for meaningful comparisons and ratios.
h. Months of the year Meskerm, Tikimit…
**Type of Scale: Nominal**
- Months of the year are examples of nominal scales because they act as labels and do not have a true quantitative value or order from a magnitude perspective.
i. The number of students in a college
**Type of Scale: Ratio**
- The number of students is a ratio scale because it has a meaningful zero (zero students) and differences and ratios are meaningful (e.g., twice as many students).
j. The net wages of a group of workers
**Type of Scale: Ratio**
- Wages are measured on a ratio scale because they have a true zero point (no wages) and the intervals and ratios between the wages are meaningful.
To summarize:
a. Nominal
b. Ordinal
c. Interval
d. Interval
e. Ratio
f. Ordinal
g. Ratio
h. Nominal
i. Ratio
j. Ratio