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Statistics — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsStatistics1 Mark
MCQ
Let $l$ be the lower class limit of a class-interval in a frequency distribution and m be the mid point of the class. Then, the upper class limit of the class is:
  • A
    $\text{m}+\frac{\text{l+m}}{2}$
  • B
    $\text{l}+\frac{\text{m+l}}{2}$
  • ✓
    $2\text{m}-1$
  • D
    $\text{m}-2\text{l}$
✓

Answer

Correct option: C.
$2\text{m}-1$

Given that, the lower class limit of a class-interval is l and the mid-point of the class is $m.$ Let $u$ be the upper class limit of the class-interval.
Therefore, we have
$\text{m}=\frac{\text{l+u}}{2}$
$⇒ l + u = 2m$
$⇒ u = 2m - l$
Thus the upper class limit of the class is $(2m - l).$
Hence, the correct choice is $(c).$

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