Range and Quartile
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Q1
Coefficient of range is calculated by the formula
Marks:1Answer:
(L  S)/(L + S)
Explanation:
To compare the variability of two or more distributions given in different units of measurement, coefficient of range is used. It is obtained by applying the formula,
Coefficient of range = (L  S)/(L + S)

Q2
Interquartile range equals
Marks:1Answer:
Q_{3}– Q_{1}
Explanation:
Interquartile range is based upon middle 50% of the values in a distribution. Therefore, Q_{3 } Q_{1 }is the formula used to calculate interquartile range.

Q3
Quartile deviation is equal to
Marks:1Answer:
(Q_{3}  Q_{1})/ 2
Explanation:
Quartile deviation refers to the midpoint of the interquartile range. It is an absolute measure of dispersion.
It is obtained by the formula,
Q.D = (Q_{3}  Q_{1})/2

Q4
Coefficient of quartile deviation, with Q1 = 20 and Q3 = 60 is equal to
Marks:1Answer:
0.50.
Explanation:
Coefficient of Quartile Deviation = (Q_{3}  Q_{1})/ (Q_{3} + Q_{1}) = (60  20)/ (60 + 20) = 40/80 = 0.5

Q5
The coefficient of range, with the smallest value of a series at 20 and the largest value at 30, equals
Marks:1Answer:
0.2.
Explanation:
Coefficient of Range = (L S) / (L + S) = (30  20) / (30 + 20) = 0.2