Central Tendency & DispersionMTP June 2023 Series IQuestion 3256 of 473
All Questions

______ is based on all the observations and ______ is based on the central fifty percent of the observations.

Options

AMean deviation, Range
BMean deviation, quartile deviation
CRange, standard deviation
DQuartile deviation, standard deviation
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Correct Answer

✅ Option b — Mean deviation, quartile deviation

All Options:

  • AMean deviation, Range
  • BMean deviation, quartile deviation
  • CRange, standard deviation
  • DQuartile deviation, standard deviation

Detailed Solution & Explanation

The mean deviation (or standard deviation) is calculated using all observations in the dataset, while the quartile deviation is based on only the first and third quartiles (Q1\displaystyle Q_1 and Q3\displaystyle Q_3), which bound the central 50%\displaystyle 50\% of the observations. Therefore, the mean deviation is based on all observations, and the quartile deviation is based on the central fifty percent of the observations. Hence, **Option B** is the correct answer.

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