Is the following classified as interval, ordinal or nominal data?
The marks achieved by the students in a statistics course out of 100.
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The intervals are not necessarily equal. In other words, the difference between 10-40 would not necessarily mean the same as the difference between 60-100. The scale is only ordinal. All you can say for sure is that a higher score indicates greater knowledge of statistics, and a lower score indicates less.
I. Nominal scale names or classifies only (social security number, baseball, football examples).
II. Ordinal scale — also ranks beside naming (height, baseball standings, beauty pageant examples). Most tests are only ordinal scales.
III. Interval scale — beside previous qualities, also has equal intervals and an arbitrary zero (centigrade/Fahrenheit thermometer examples).
IV. Ratio scale also has a true/absolute zero, which allows comparisons in terms of ratios (Kelvin thermometer, height/weight measurements). Math uses ratio scale.
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The data describing the marks achieved by students in a statistics course out of 100 is classified as interval data.
To determine whether the given data is interval, ordinal, or nominal, let's understand the definitions of these types of data.
Interval data refers to data that is measured on a continuous scale with equal intervals between the values. It has no true zero point.
Ordinal data represents data that can be ordered or ranked. The intervals between the values are not necessarily equal and may not have a consistent numerical interpretation.
Nominal data is categorical data that does not have any inherent ordering or ranking.
In the given scenario, the marks achieved by the students in a statistics course out of 100 can be classified as interval data. This is because the marks are measured on a continuous scale, with equal intervals between the values (e.g., the difference between 80 and 85 is the same as the difference between 60 and 65). Additionally, the marks have a true zero point (i.e., 0 out of 100 represents the absence of any marks).
Therefore, the marks achieved by the students in the statistics course out of 100 are considered interval data.