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Statistics — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsStatistics1 Mark
MCQ
In the formula $\bar{\text{x}}=\text{a}+\text{h}\Big(\frac{1}{\text{N}}\sum\text{f}_\text{i}\text{u}_\text{i}\Big),$ for finding the mean of grouped frequency distribution $\text{u}_\text{i}=$
  • A
    $\frac{\text{x}_\text{i}+\text{a}}{\text{h}}$
  • B
    $\text{h}(\text{x}_\text{i}-\text{a})$
  • ✓
    $\frac{\text{x}_\text{i}-\text{a}}{\text{h}}$
  • D
    $\frac{\text{a}-\text{x}_\text{i}}{\text{h}}$
✓

Answer

Correct option: C.
$\frac{\text{x}_\text{i}-\text{a}}{\text{h}}$
Given $\bar{\text{x}}=\text{a}+\text{h}\Big(\frac{1}{\text{N}}\sum\text{f}_\text{i}\text{u}_\text{i}\Big)$
Above formula is a step deviation formula.
$\text{u}_\text{i}=\frac{\text{x}_\text{i}-\text{a}}{\text{h}}$

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