Central Tendency & DispersionPYQ July 21Question 3095 of 473
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If every observation is increased by 7\displaystyle 7 then:

Options

AStandard deviation increased by 7\displaystyle 7
BMean deviation increased by 7\displaystyle 7
CNot affected at all
DQuartile deviation increased by 7\displaystyle 7.
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Correct Answer

✅ Option c — Not affected at all

All Options:

  • AStandard deviation increased by 7\displaystyle 7
  • BMean deviation increased by 7\displaystyle 7
  • CNot affected at all
  • DQuartile deviation increased by 7\displaystyle 7.

Detailed Solution & Explanation

Measures of dispersion (such as Standard Deviation, Mean Deviation, Quartile Deviation, and Range) are independent of change of origin. This means that if a constant is added to or subtracted from every observation in a dataset, the value of these measures of dispersion remains completely unaffected. Therefore, increasing every observation by 7\displaystyle 7 will not affect the dispersion measures. Hence, **Option C** is the correct answer.

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