Question

State which type of measurement scale each represents, and then which center measures can be use for the variable? a.) You collect data on the height of plants using a new fertilizer. Ration b.) You collect data on the cars that people drive in Campbelltown, Australia. c.) You collect data on the temperature at different locations in Antarctica. d.) You collect data on the first, second, and third winner in a beer competition.

Answer 1

Each given scenario utilizes a different level of measurement: plant height is Ratio scale, cars driven is Nominal scale, temperature in Antarctica is Interval scale, and winners in a competition are measured on an Ordinal scale. The appropriate center measures vary accordingly.

Step-by-step explanation:

Understanding the levels of measurement is crucial for selecting the appropriate statistical procedures. Here is an analysis for each scenario you provided:

1. Height of plants using a new fertilizer: This is a Ratio scale measurement since you have a true zero (no height) and can compare measurements in terms of ratios. Center measures that can be used are the mean, median, and mode.
2. Cars that people drive in Campbelltown, Australia: This type of data is Nominal level measurement since it consists of categorizing by type or brand. The measure of center most appropriate here is the mode.
3. Temperature at different locations in Antarctica: Temperatures are measured on an Interval scale level. While there is no true zero, differences and order have meaning. The mean and median are suitable center measures here.
4. First, second, and third winner in a beer competition: The placement of winners is an Ordinal scale level measurement. It indicates order but not the magnitude of difference between the placements. The median or mode would be appropriate measures of center.