Statistics 1.2—Data Classification

Objective 1: I can distinguish between types of data.

When data is collected, it can be classified as ______or ______data.

______data consists of attributes, labels, or ______entries.

Examples:

______data consists of numerical measurements or ______.

Examples:

Read Example 1, pg 11

TIY 1: The population of several US cities is shown in the table below. Which data are qualitative and which data are quantitative?

Extra practice: Identify each data value as qualitative or quantitative.

A) The color of your backpack.

B) The number of books in your backpack.

C) The percent grade on your first math test.

D) The number of homework assignments you turn in this card marking.

E) The hair color of your favorite athlete.

Objective 2: I can identify a data value’s level of measurement.

Another characteristic of data is its level of ______. The level of measurement determines which statistical calculations are meaningful. The four levels of measurement, in order from lowest to highest, are ______, ______, ______, and ______.

Data at the ______level of measurement are ______only. Data at this level is organized using ______, ______, or ______. No mathematical computations can be done with data at this level.

*Certain kinds of numbers can be nominal:

Data at the ______level of measurement are ______or ______. Data at this level can be ______or ranked only. You can calculate the differences between values, but these differences are not meaningful.

Read “Insight” and Example 2, pg 12.

TIY 2: For each data set, decide whether the data are nominal or ordinal.

A) The final standings for the Pacific Division of the NBA.

B) A collection of phone numbers.

The highest levels of measurement consist of ______data only.

Data at the ______level of measurement can be ordered, and you can calculate meaningful differences between data entries. This type of data does NOT have an ______zero—zero is arbitrary and just represents a point on a ______. The data values can be compared with ______, but not ______.

Examples:

Data at the ______level of measurement can be ordered, subtracted, and ______. These data have an ______, or a natural, zero. This zero represents ______and data can be expressed as a multiple of another.

Examples:

Read pg 13

TIY 3: Decide whether the data are at the interval or ration level. Explain why.

A) The body temperature (in degrees Fahrenheit) of an athlete during exercise.

B) The heart rate (in beats per minute) of an athlete while exercising.

Page 14 has a fantastic summary with examples of the four levels of measurement we have studied in this objective. Here is a quick summary, but you may want to read page 14 to see some examples of each type of data along with the type of calculations that can be performed on the data.