If a set of scores is displayed in a frequency distribution polygon, what scale of measurement was used to measure the scores?

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Multiple Choice

If a set of scores is displayed in a frequency distribution polygon, what scale of measurement was used to measure the scores?

Explanation:
A frequency distribution polygon plots frequencies at the class midpoints along a numeric score axis and connects them with lines. To place those midpoints at equal distances, the scale must have meaningful, equal intervals between successive values. That requirement is met by interval and ratio scales, where differences between scores reflect equal steps. Nominal data lack order and equal intervals, and ordinal data have order but not guaranteed equal distances, so a frequency polygon isn’t appropriate for them. Therefore, the scores must be measured on an interval or ratio scale.

A frequency distribution polygon plots frequencies at the class midpoints along a numeric score axis and connects them with lines. To place those midpoints at equal distances, the scale must have meaningful, equal intervals between successive values. That requirement is met by interval and ratio scales, where differences between scores reflect equal steps. Nominal data lack order and equal intervals, and ordinal data have order but not guaranteed equal distances, so a frequency polygon isn’t appropriate for them. Therefore, the scores must be measured on an interval or ratio scale.

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