GROUP 1: SCALES OF MEASUREMENTS

Which of these coding systems is an example of a nominal scale, even though it uses numbers?

• 1 = "Car", 2 = "Truck", 3 = "Bike", 4 = "Bus"

• 0-10 Scale for Pain Intensity

• Ranking: 1st, 2nd, 3rd Place

• Grades: A, B, C, D

In the image, two individuals are debating which gender is "number one." Based on this scenario, which characteristic of a nominal scale is being misinterpreted?

• Nominal data cannot have meaningful differences between categories.

• Numbers assigned to categories carry no numerical significance or rank

• Nominal data must contain only two categories.

• Nominal scales must use alphabetical labels instead of numbers.

A researcher records calendar years (e.g., 1990, 2000, 2010). Which statistical operation cannot be performed?

• Finding the difference between two years

• Calculating the mean year

• Computing a ratio between two years

• Determining the range of years

Which of the following temperature measurements fails to qualify as interval data?

• Celsius

• Kelvin

• Fahrenheit

If a music researcher assigns timestamps to specific parts of a song (e.g., 1:00 min, 2:00 min), what mathematical operations are valid?

• Subtracting timestamps to calculate the duration between two parts

• Multiplying timestamps to predict future playback times

• Dividing timestamps to calculate a ratio of two song sections

• Adding timestamps to compute a total listening time

What is an example of an ordinal scale?

• Height in centimeters

• Pain levels (mild, moderate, severe)

• Weight in kilograms

• Time in seconds

Which of the following is a key characteristic of an Ordinal scale?

• It has equal intervals.

• It has an absolute zero.

• The order of data matters, but intervals are unequal.

• Mathematical operations can be applied freely.

A Ratio scale has an absolute zero, while an Ordinal scale does not.

• TRUE

• FALSE

A Ratio scale can be used to measure temperature in degrees Celsius.

• TRUE

• FALSE

When interpreting Ratio scale data, which of the following operations is possible?

• Only addition and subtraction

• Only finding the mode

• Only calculating the median

• Addition, subtraction, multiplication, and division