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Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsMean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive1 Mark
MCQ
For finding the mean by using the formula, $\bar{\text{x}}=\text{A}+\text{h}\Big(\frac{\sum\text{f}_\text{i}\text{u}_\text{i}}{\sum\text{f}_\text{i}}\Big),$ we have $u_i =?$
  • A
    $\frac{(\text{A}-\text{x}_\text{i})}{\text{h}}$
  • ✓
    $\frac{\text{(x}_{\text{i}}-\text{A})}{\text{h}}$
  • C
    $\frac{(\text{A}+\text{x}_\text{i})}{\text{h}}$
  • D
    $\text{h}(\text{x}_\text{i}-\text{A})$
✓

Answer

Correct option: B.
$\frac{\text{(x}_{\text{i}}-\text{A})}{\text{h}}$
By formula method,
$\bar{\text{x}}=​​​​\text{A}+\text{h}\Big(\frac{\sum\text{f}_\text{i}\text{u}_\text{i}}{\sum\text{f}_\text{i}}\Big),$
where $\text{u}_\text{i}=\frac{(\text{x}_\text{i}-\text{A})}{\text{h}}$

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