If coefficient of quartile deviation is 0.85 and upper quartile is 85 then what will be the lower quartile?

To find the lower quartile, we first need to calculate the interquartile range (IQR) using the formula:

IQR = Q3 - Q1

Given that the upper quartile (Q3) is 85 and the coefficient of quartile deviation is 0.85, we can calculate the lower quartile (Q1) as follows:

Coefficient of quartile deviation = (Q3 - Q1) / (Q3 + Q1)
0.85 = (85 - Q1) / (85 + Q1)

0.85(85 + Q1) = 85 - Q1
72.25 + 0.85Q1 = 85 - Q1
1.85Q1 = 12.75
Q1 = 12.75 / 1.85
Q1 ≈ 6.89

Therefore, the lower quartile is approximately 6.89.

Coefficient of Quartile Deviation (CQD) = (Upper Quartile - Lower Quartile) / 2 x Median

Given that CQD = 0.85 and Upper Quartile (Q3) = 85

We can solve for the Lower Quartile (Q1):

0.85 = (85 - Q1) / 2 x Median

To find the median, we need more information about the distribution. Therefore, we cannot determine the exact value of Q1 with the given information.