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The smallest value of a series, with largest value at 120 and coefficient of range at 0.2, equals
  • a)
    24
  • b)
    60
  • c)
    100
  • d)
    80 
  • e)
     
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The smallest value of a series, with largest value at 120 and coeffici...

S = 80
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The smallest value of a series, with largest value at 120 and coeffici...
Calculating the Smallest Value
To find the smallest value of the series, we need to consider the coefficient of range given as 0.2 and the largest value as 120.

Understanding Coefficient of Range
The coefficient of range is calculated as (Largest Value - Smallest Value) / (Largest Value + Smallest Value). In this case, the coefficient of range is given as 0.2.

Using the Coefficient of Range Formula
Let's denote the smallest value as x. We know the largest value is 120. So, the coefficient of range formula becomes:
(120 - x) / (120 + x) = 0.2

Solving for the Smallest Value
Solving the equation above, we get:
120 - x = 0.2(120 + x)
120 - x = 24 + 0.2x
120 - 24 = x + 0.2x
96 = 1.2x
x = 80
Therefore, the smallest value in the series is 80. The correct answer is option 'D'.
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