Question

• निम्नलिखित आँकड़ों का चतुर्थक विचलन तथा चतुर्थक विचलन गुणांक ज्ञात कीजिए:
28, 18, 20, 24, 30, 15, 47, 27
(उत्तर: चतुर्थक विचलन = 5.5, chaturthak vichlan gunank=0.23)​

Answer 1

The quartile deviation is 5. The coefficient of quartile deviation is $0.208\overline{3}$.

Step-by-step explanation:

चतुर्थक विचलन = Quartile deviation

चतुर्थक विचलन गुणांक = Coefficient of quartile deviation

The given data set is

28, 18, 20, 24, 30, 15, 47, 27

Arrange the data in ascending order.

15, 18, 20, 24, 27, 28, 30, 47

Divide the data in four equal parts.

(15, 18), (20, 24), (27, 28), (30, 47)

Now, we get

$Q_1=\dfrac{18+20}{2}=19$

$Q_3=\dfrac{28+30}{2}=29$

The formula for Quartile deviation is

Quartile deviation = $\frac{Q_3-Q_1}{2}=\frac{29-19}{2}=5$

Therefore, the quartile deviation is 5.

The formula for Coefficient of quartile deviation is

Coefficient of quartile deviation = $\frac{Q_3-Q_1}{Q_3+Q_1}=\frac{29-19}{29-19}=0.208333..=0.208\overline{3}$

Therefore, the coefficient of quartile deviation is $0.208\overline{3}$.

#Learn more

Quartile deviation: https://brainly.in/question/12166362

Coefficient of quartile deviation: https://brainly.in/question/12875627