Each of the values of a series is decreased by K. Which of the following does not hold in the context?

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UGC NET Paper-2: Commerce 25th Dec 2021 Shift 2
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  1. The quartile deviation does not change.
  2. The co-efficient of quartile deviation remain unchanged.
  3. The lower and upper quartile values each increases by K.
  4. The quartile coefficient of dispersion rises.

Answer (Detailed Solution Below)

Option 2 : The co-efficient of quartile deviation remain unchanged.
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
50 Qs. 100 Marks 60 Mins

Detailed Solution

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The correct answer is The co-efficient of quartile deviation remain unchanged.

Key PointsQuartile deviation:

  • Half of the difference between the upper and lower quartiles is the Quartile Deviation, which may be calculated numerically.
  • Quartile Deviation is also known as the Semi Interquartile range.
  • QD denotes quartile deviation, with Q3 denoting the upper quartile and Q1 denoting the lower quartile.

Quartile Deviation Formula

QD = (Q3 – Q1)/2

Important Points

Coefficient of Quartile Deviation:

Dispersion can be compared for two or more sets of data using the coefficient of quartile deviation (also known as the quartile coefficient of dispersion).

Formula : 

If one set of data has a higher coefficient of quartile deviation than another, the interquartile dispersion of that data set is higher.

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