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

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 : \({Q_3-Q_1}\over {Q_3 + Q_1}\)

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