Question

In: Statistics and Probability

Complete the following table by assigning the correct level of measure (Ratio, Ordinal, Nominal, Interval), data...

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

Level of Measurement

Data Type

Mathematical Operations that can be used

Example

Ratio, Ordinal, Nominal, Interval

Discrete or Continuous

Counts, percentiles, mean, addition, subtraction, standard deviation, median

Age

Likert Scale

Body Temperature in Degrees

Height

Race

Male or Female

Pain scale

Weight

Solutions

Expert Solution

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,

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