Central Tendency & DispersionPYQ Dec 22Question 3224 of 473
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_________ 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 every observation in the dataset, meaning it is based on all the observations. In contrast, the quartile deviation is calculated using only the first and third quartiles (Q1\displaystyle Q_1 and Q3\displaystyle Q_3), which enclose the middle 50%\displaystyle 50\% of the data. Thus, it is based on the central fifty percent of the observations. Hence, **Option B** is the correct answer.

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