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Which of the following measures of central tendency could be computed on avariable that is measured on a nominal scale of measurement?a. mean b. median c. mode d. none of the above

Question

Which of the following measures of central tendency could be computed on avariable that is measured on a nominal scale of measurement?a. mean b. median c. mode d. none of the above

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Solution

The correct answer is c. mode.

Here's why:

a. Mean: This is not applicable to nominal data because it requires numerical input. Nominal data is categorical and does not have a numerical value or order.

b. Median: This is also not applicable to nominal data because it requires data that is ordinal, interval, or ratio. Nominal data does not have a specific order, so a middle value (median) cannot be determined.

c. Mode: This is the only measure of central tendency that can be used with nominal data. The mode is simply the most frequently occurring value in a data set, which does not require numerical values or any specific order.

d. None of the above: This is incorrect because, as explained, the mode can be computed on a variable that is measured on a nominal scale of measurement.

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