(i) Relative measures for QD (ii) Computation of Quartile Deviation

**Quartile Deviation**

Quartile
Deviation is defined as *QD* = Â½ (Q_{3}
â€“ Q_{1}) It may also be called as semi- inter quartile.

where *Q*_{1} and *Q*_{3} are the first and third quartiles of the distribution
respectively and *Q*_{3}* *â€“*
Q*_{1}* *is called as inter
quartile range.

Quartile
deviation is an absolute measure of dispersion. The relative measure
corresponding to this measure, called the coefficient of quartile deviation is
calculated as follows:

Coefficient
of quartile deviation can be used to compare the degree of variation in
different distributions.

The
process of computing quartile deviation is very simple since we just have to
compute the values of the upper and lower quartiles that is *Q*_{3} and *Q*_{1} respectively.

**Example 8.16**

Calculate
the value of quartile deviation and its coefficient from the following data

*Solution :*

Marks are
arranged in ascending order

Hence
coefficient of QD = 0.455

**Example 8.17**

Compute
coefficient of quartile deviation from the following data

*Solution :*

**Example 8.18**

Compute
Quartile deviation from the following data

*Solution :*

Tags : Measures of dispersion , 11th Business Mathematics and Statistics(EMS) : Chapter 8 : Descriptive statistics and probability

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11th Business Mathematics and Statistics(EMS) : Chapter 8 : Descriptive statistics and probability : Quartile Deviation | Measures of dispersion

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