In: Statistics and Probability
Complete the following table by assigning the correct level of measure (Ratio, Ordinal, Nominal, Interval), data type (Discrete or Continuous), and mathematical operation (Counts, percentiles, mean, addition, subtraction, standard deviation, median) to the given example.
Table 1. Level of Measurement, Data Type, and Mathematical Operation Exercise |
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Level of Measurement |
Data Type |
Mathematical Operations that can be used |
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Example |
Ratio, Ordinal, Nominal, Interval |
Discrete or Continuous |
Counts, percentiles, mean, addition, subtraction, standard deviation, median |
Age |
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Likert Scale |
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Body Temperature in Degrees |
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Height |
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Race |
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Male or Female |
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Pain scale |
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Weight |
Sol:
discrete data can take only certain values.
its counted
ex:
continuous data comes from measuring and can take any value within a given range.
ex:height it can 5 feet 5 inch ,5 feet 6 inch
its measured.
nominal are labels and data can only be classified
data are ranked in ordinal scale.
meaningful difference between values in interval scale.
meaningful 0 point and ratio between values.
Qualitative categorical can be either nominal or ordinal
Quantitative numerical can be either interval or ratio.
Example | Ratio, Ordinal, Nominal, Interval | Discrete or Continuous | Counts, percentiles, mean, addition, subtraction, standard deviation, median |
Age | ratio | continuous | mean,median,stddev,percentiles, |
Likert Scale | Interval | Discrete | Counts,addition,subtraction |
Body Temperature in Degrees | Interval | continuous | mean,median,stddev,percentiles, |
Height | Interval | continuous | mean,median,stddev,percentiles, |
Race | nominal | discrete | Counts,addition,subtraction |
Male or Female | nominal | discrete | Counts,addition,subtraction |
Pain scale | Ratio | Discrete | Counts,addition,subtraction |
Weight | Interval | continuous | mean,median,stddev,percentiles, |