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Statistics — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsStatistics1 Mark
MCQ
Let m be the mid-point and I 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
    $m - I$
  • C
    $2I - m$
  • ✓
    $2m - I$
✓

Answer

Correct option: D.
$2m - I$
Let the lower limit $= k$
Midpoint $= m$
Upper limit $= I$
$\text{Mid-point}=\frac{\text{(Upper limit + lower limit)}}{2}$
$\text{m}=\frac{\text{(K + I)}}{2}$
$2\text{m}=\text{k + I}$
$\text{k}=\text{2m - I}$
Therefore, lower limit $= 2m - I$

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