Stats

Nominal Ordinal Interval Ratio Continuous Discrete

-Data that represent whether a variable possesses some characteristic. -Data that represent categories that have some associated order. -If the data can be ordered and the arithmetic difference is meaningful. -Similar to interval data, except that they have a meaningful zero point and the ratio of two data points is meaningful. -Data that can take any value within some interval. -Data that can take on only particular values and cannot take on the values in between

The IQ scores of students at the local college.

Are these data qualitative or quantitative? quantitative Are these data discrete or continuous? discrete What is the highest level of measurement the data possesses? interval

nominal data.

Data that represent whether a variable possesses some characteristic are called (For this data, none of the arithmetic operators can be applied Ex. female+male=female)

The numbers of different colors various boxes of crayons have are an example of which type of data?

Discrete

interval data

For example, the interval between four degrees and one degree represents the same difference in kinetic energy as the difference between 74 degrees and 71 degrees. (Example:temperature. Also it has an arbitrary zero value.)

good info between interval data, & ordinality

Interval data are numerical data that possess both the property of ordinality (ranking) and the interval property. However, interval data do not possess a meaningful origin (zero value).

Ordinal data

It represents categories that have some associated order. *they often measure it with the Likert scale Ex. One rates the taste of Frosty Pops on a scale from 1 to 5.

Religious affiliations are an example of which type of data? Discrete, continuous or neither?

Neither

ratio variable example:

Say a friend has $40 and you have $20. $40/$20=2 they have twice as you.

whats the difference between ordinal and nominal data?

So the only difference between ordinal and nominal data is that ordinal data possess order. *like nominal data, only a very limited number of statistical analyses can be performed. Note that ordinal data are also nominal, but they possess the additional property of ordinality (or ranking)

Example of continuous:

The first annual yield is listed as 4.25%, but the actual annual yield of the first mutual fund may be 4.2531642%. If the measuring device can only detect differences in the hundredths place, then all measurements will be given to the hundredths place. Any digits beyond the hundredths place will be ignored. However, just because these digits are ignored doesn't mean they don't exist.

examples of quantitative data?

The number of students in class today, the number of dependents claimed on a tax return, the number of fans at a sporting event, and the time it takes to complete a particular task.

nominal variables

The sex of a person, their hair color, are examples of?

Qualitative data

are measurements that can change in kind, but not in degree. Its measurements often consist of labels or descriptions and do not have naturally occurring numerical values. (they are measured on the nominal and ordinal scales. )

Quantitative data

are measurements that change in magnitude from trial to trial such that some order or ranking can be applied. This variables can be measured using a naturally occurring numerical scale. (they are measured on the interval or ratio scale and we can perform arithmetic operations with quantitative variables)

Ratio Data

are similar to interval data, except that they have a meaningful zero point and the ratio of two data points is meaningful.

Data that can take on any value within some interval are ________.

continuous.

Data in which the observations are restricted to a set of values (such as 1, 2, 3, 4) that possesses gaps are ______.

discrete. (this data may assume decimal values Ex. 1,1.5,2,2.5...)

Quantitative data or variables can be categorized as ______.

either discrete or continuous.

Examples of Qualitative Data?

gender (M/F), occupation (doctor, lawyer, professor, etc.) and eye color (brown, blue, and green)

property that distinguishes interval data?

is the notion that equal intervals represent equal amounts.

Data or variables can be classified as

qualitative or quantitative.

If data or variables are quantitative,

they can be further identified as discrete or continuous.

Examples of ratio variables?

volumes, heights, weights, pressure, currency.