MCQ
Let $m$ be the mid-point and $l$ be the upper class limit of a class in a continuous frequency distribution. The lower class limit of the class is:
  • A
    $2m + I$
  • B
    $2I - m$
  • $2m - I$
  • D
    $m - I$

Answer

Correct option: C.
$2m - I$

Let the lower limit $= k$
Mid-point $= m$
Upper limit $= l$
Mid-point $=\frac{\text{(upper limit + lower limit)}}{2}$
$\text{m}=\frac{(\text{k+l})}{2}$
$2\text{m}=\text{k}+\text{l}$
$\text{k}=2\text{m}-\text{l}$
Therefore, lower limit $= 2m - l$

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