Levels of Measurement – In exercises 9-12, determine which of the four levels of
ID: 3202101 • Letter: L
Question
Levels of Measurement – In exercises 9-12, determine which of the four levels of measurement (nominal, ordinal, interval, or ratio) is most appropriate.
9-Weights of Pittsburg Steeler lineman.
10- The years of 1975, 1976, 1979, 1980, 2006 and 2009 when the Pittsburgh Steelers won the Super Bowl.
11-Numbers on the jerseys of the 2009 NFL Super Bowl XLIII winners.
12- Consumer Reports magazine ratings of “best buy, recommended, not recommended.”
13- A reporter for Newsweek stands on a street corner and asks 10 adults if they feel that the current president is doing a good job. Identify the (a) sample and (b) population. Also, determine whether the sample is likely to be representative of the population.
Explanation / Answer
9-Weights of Pittsburg Steeler lineman. Ratio
10- The years of 1975, 1976, 1979, 1980, 2006 and 2009 when the Pittsburgh Steelers won the Super Bowl. Ordinal
11-Numbers on the jerseys of the 2009 NFL Super Bowl XLIII winners. Nominal
12- Consumer Reports magazine ratings of “best buy, recommended, not recommended.” interval
13- A reporter for Newsweek stands on a street corner and asks 10 adults if they feel that the current president is doing a good job. Identify the (a) sample and (b) population. Also, determine whether the sample is likely to be representative of the population. Here Population is adults of street and sample is 10 adults . this is convenient sampling method and it will not give desired results as sample is not representative of population.
Nominal basically refers to categorically discrete datasuch as name of your school, type of car you drive or name of a book. This one is easy to remember because nominal sounds like name (they have the same Latin root). Ordinal refers to quantities that have a natural ordering. The ranking of favorite sports, the order of people's place in a line, the order of runners finishing a race or more often the choice on a rating scale from 1 to 5. With ordinal data you cannot state with certainty whether the intervals between each value are equal. For example, we often using rating scales (Likert questions). On a 10 point scale, the difference between a 9 and a 10 is not necessarily the same difference as the difference between a 6 and a 7. This is also an easy one to remember, ordinal sounds like order. Interval data is like ordinal except we can say the intervals between each value are equally split. The most common example is temperature in degrees Fahrenheit. The difference between 29 and 30 degrees is the same magnitude as the difference between 78 and 79 (although I know I prefer the latter). With attitudinal scales and the Likert questions you usually see on a survey, these are rarely interval, although many points on the scale likely are of equal intervals. Ratio data is interval data with a natural zero point. For example, time is ratio since 0 time is meaningful. Degrees Kelvin has a 0 point (absolute 0) and the steps in both these scales have the same degree of magnitude.Based on this definition answers are as below:
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