Central Tendency & DispersionMTP Nov 20Question 3252 of 473
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Which measure is based on all the observations

Options

AStandard deviation
BMean deviation
CQuartile deviation
DBoth (a) and (b)
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Correct Answer

✅ Option d — Both (a) and (b)

All Options:

  • AStandard deviation
  • BMean deviation
  • CQuartile deviation
  • DBoth (a) and (b)

Detailed Solution & Explanation

The standard deviation and the mean deviation are calculated using all the observations in the dataset, meaning they are based on all observations. In contrast, the quartile deviation is calculated using only Q1\displaystyle Q_1 and Q3\displaystyle Q_3, which are based on the central fifty percent of the observations. Therefore, both (a) and (b) are based on all observations. Hence, **Option D** is the correct answer.

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