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Statistics — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsStatistics1 Mark
MCQ
Median of a data is given by:
  • ✓
    $\text{l}+\bigg(\frac{\frac{\text{n}}{2}-\text{cf}}{\text{f}}\bigg)\times{\text{h}}$
  • B
    $\text{l}+\bigg(\frac{\frac{\text{n}}{2}-\text{f}}{\text{cf}}\bigg)\times{\text{h}}$
  • C
    $\text{l}-\bigg(\frac{\frac{\text{n}}{2}-\text{cf}}{\text{f}}\bigg)\times{\text{h}}$
  • D
    $\text{l}+\bigg(\frac{\frac{\text{n}}{2}-\text{cf}}{\text{f}}\bigg)\div{\text{h}}$
✓

Answer

Correct option: A.
$\text{l}+\bigg(\frac{\frac{\text{n}}{2}-\text{cf}}{\text{f}}\bigg)\times{\text{h}}$

Where, $l$ = lower limit of the median class
$F$ = frequency of the median class
$CF$ = cumulative frequency of the class preceding the median class
$N$ = number of observations
$H$ = size of the class interval (assuming all class sizes to be equal)

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