Which type of data can be measured on a scale with equal intervals between values?

Types of Data with Equal Intervals

1. Definition: Data measured on a scale with equal intervals between values is known as interval data. This type of data occurs when the difference between two values is meaningful and consistent across the scale.

2. Examples:

   • Temperature: Measurements in Celsius or Fahrenheit are classic examples of interval data. The difference between 20°C and 30°C is the same as the difference between 30°C and 40°C.
   • Calendar Dates: The difference in days between January 1 and January 2 is the same as between March 1 and March 2.
   • IQ Scores: The IQ scale is designed such that the difference between scores is consistent and meaningful.

3. Characteristics:

   • No true zero: Interval scales do not have a true zero point that indicates the absence of the quantity being measured. For example, 0°C does not mean that there is no temperature.
   • Addition and subtraction operations can be performed, but multiplication and division are not meaningful.

Understanding interval data is crucial in statistics since it allows for more sophisticated analyses compared to nominal or ordinal data.