Question

for Q1 = 20 and Q3 = 70, Quartile deviation=_____​

Answer 1

Answer:

Calculation of quartile deviation can be done as follows,

Q1 is an average of 2nd, which is11 and adds the difference between 3rd & 4th and 0.5, which is (12-11)*0.5 = 11.50.

Q3 is the 7th term and product of 0.5, and the difference between the 8th and 7th term, which is (18-16)*0.5, and the result is 16 + 1 = 17.

Answer 2

Given:Q₁ = 20 and Q₃= 70

To find The value of Quartile deviation

Solution: The values that divide a list of items into four parts or quarters, these are called quartiles.

In statistics, the measure of the middle part of any given data is said to be Quartile Deviation or semi interquartile range. The Quartile Deviation can be calculated to be halved of the subtraction of the value of the first quartile(Q₁) from the value of the third quartile(Q₃). So the formula for calculating the Quartile Deviation can be written as:

                                 (Q₃-Q₁)/2

∴ Semi interquartile range or Quartile Deviation = (Q₃-Q₁)/2

                                  = (70-20)/2  [substituting the values of Q₃ and Q₁]

                                  = 50/2

                                  =25

Hence the value of the Quartile Deviation is 25.