STAT 1.2

Shades of paint are descriptions and cannot be measured, so these are qualitative data.

Rankings are numeric but not measurements or counts, so these are qualitative data.

The amounts of dye needed are measured and therefore are quantitative data

The numbers of paint choices must be counted, so they are quantitative data as well.

Temperatures could be measured to any level of precision based on the thermometer used, so these are continuous data.

Numbers of houses are discrete data because houses are counted in whole numbers. A house under construction is still a house.

The numbers of elliptical machines are counts, so these are discrete data.

Heights are measurements and again, depending on the ruler, the heights could be measured to any level of precision, so they are continuous data.

These data are nominal because the data simply describe or label the different toppings of the pizza.

In the second scenario, the data value is a count of students who prefer sausage. This data value is quantitative, not qualitative, so it is not a label and would not be considered to be at the nominal level of measurement.

Seat numbers are ordinal because there is a meaningful order to the data, namely, the position in the theater.

Despite the fact that you may have your own personal preference for specific genres of music, there is no standard order. Therefore, music genres are nominal data.

Birth years can be ordered. It is also meaningful to subtract years to determine the difference in age. However, the year 0 A.D. does not mean the beginning of time. Therefore, birth years are at the interval level of measurement.

consists of labels or descriptions of traits

consists of counts and mearsurements

are quantitative data that can take on any value in a given interval and are usually measurements

are quantitative data that can take on ONLY particular values and are usually counts

are qualitative data consisting of labels or names

are qualitative data that can be arranged in a meaningful order, but calculations such as addition or division do not make sense

are quantitative data that can be arranged in a meaningful order, and differences between data entries are meaningful

quantitative data that can be ordered, differences between data entries are meaningful, and zero pt indicates the absence of something

The ages of US presidents are measurable, can be ordered, and an age of zero indicates the absence of life. Therefore, ages are at the ratio level of measurement. In contrast to Example 1.8, involving birth years, you can be twice as old as someone else.

The amount of time it takes for each runner to run the race is quantitative since calculations performed on these data are meaningful. A finishing time is a measurement, therefore the data are continuous. Differences between finishing times are meaningful, and a time of zero represents the absence of racing. We could also say that Andrew finished the race in half of Peyton's time; thus, the data are at the ratio level of measurement

Colors are labels, so these data are qualitative. Qualitative data are neither discrete nor continuous. There are many ways to order colors, such as alphabetically or based on the color spectrum. However, when discussing colors of crayons, order is not the primary factor, as opposed to data such as rankings, in which order is important. Therefore, the data are at the nominal level of measurement.

Calculations can be performed on boiling points because they are measurements, making these data quantitative. Temperatures are measurements, so the data are continuous. For the Celsius scale, a temperature of zero degrees is simply a placeholder and does not indicate the absence of heat. Therefore, data from the Celsius scale are always at the interval level of measurement.

Since the rankings cannot be meaningfully added or subtracted, the data must be qualitative. Qualitative data are neither discrete nor continuous. The rankings are in a specific order, so the data are at the ordinal level of measurement.

Neither Discrete or Continuous

Quantitative Discrete Ratio

Quantitative Discrete Ratio

Quantitative Discrete Interval

Qualitative Neither Discrete or Continuous Nominal

Quantitative

Qualitative

Qualitative Neither Discrete or Continuous Ordinal

Continuous

Discrete

Neither Continuous or Driscete

Qualitative Neither Continuous or Discrete Ordinal

Quantitative Discrete Ratio

Continuous

Quantitative

Discrete

Qualitative Neither Discrete or Continuous Nominal

Qualitative

Quantitative Discrete Ratio

Quantitative Continuous Interval

Quantitative Continuous Ratio

Qualitative Neither Continuous or Discrete Nominal

Neither Continuous or Discrete