Correct Answer - Option 4 : 36
Given
Coefficient of range = 0.5
Smallest value = S = 12
Formula
Coefficient of range = (L - S)/(L + S)
L = Largest value
S = Smallest value
Calculation
Let the largest value be x
⇒ 0.5 = (x - 12)/(x + 12)
⇒ 0.5(x + 12) = (x - 12)
⇒ 0.5x + 6 = x - 12
⇒ 0.5x = 18
⇒ x = 36
∴ The value of Largest number is 36
Range is the simplest measure of dispersion. We can define range as the difference between the highest and the lowest value in a set of observation
For example the range of the series 1, 2, 4, 6, 8, 9, 10, 12
Largest number = 12
Lowest number = 1
Range = L - S = 12 - 1 = 11
Coefficient of range = (L - S)/(L + S)
Coefficient of this range = 11/13
