Question

Mean deviation of series is 6, estimated value of quartile deviation shall be a. 4.8 جها b. 7.5 C. 5 d. 5.2. ​

Answer 1

Answer:

D) 5.2

Step-by-step explanation:

Mean deviation of series is 6, estimated value of quartile deviation

Answer 2

Given,

The mean deviation of a series$\[ = 6\]$

Solution,

Know that the mean deviation is the average deviation from the mean value of the set.

Know that the quartile deviation is the difference of the upper and lower limit divided by two.

Therefore,

$\[\begin{array}{l} \Rightarrow {\rm{Mean}}{\rm{Deviation}} = \frac{4}{5} \times {\rm{Quartile}}\,{\rm{Deviation}}\\ \Rightarrow 6 = \frac{4}{5} \times {\rm{Quartile}}\,{\rm{Deviation}}\\ \Rightarrow {\rm{Quartile}}\,{\rm{Deviation}} = \frac{{6 \times 5}}{4}\\ \Rightarrow {\rm{Quartile}}\,{\rm{Deviation}} = 7.5\end{array}\]$

Hence, the correct option is (b) i.e.$\[7.5.\]$