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Which of the following measures of central tendency is least suitable for interval data? Mode Mean Median All are equally suitable

Question

Which of the following measures of central tendency is least suitable for interval data?

  • Mode
  • Mean
  • Median
  • All are equally suitable
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Solution

The measure of central tendency that is least suitable for interval data is the Mode.

Here's why:

  1. Interval data is numerical data that has a consistent order and a consistent, meaningful difference between values. However, it does not have a true zero point (for example, temperature in Celsius or Fahrenheit).

  2. The Mean and Median are suitable for interval data because they take into account the actual values in the data set. The Mean is the average of all the values, and the Median is the middle value when the data is arranged in ascending or descending order. Both of these measures can accurately represent the center of interval data.

  3. The Mode, on the other hand, is simply the most frequently occurring value in a data set. It does not take into account the actual numerical values or their differences, making it less suitable for interval data. The Mode can be misleading if the most frequent value is far from the rest of the data.

Therefore, the Mode is the least suitable measure of central tendency for interval data.

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