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Stastics — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsStastics1 Mark
MCQ
If $\text{x}_\text{i}'\text{s}$ are the midpoints of the class intervals of grouped data, $\text{f}_\text{i}'\text{s}$ are the corresponding frequencies and is the mean, then$\sum(\text{f}_\text{i}\text{x}_\text{i}-\bar{\text{x}})$ is equal to $ -$
  • A
    $1$
  • B
    $-1$
  • ✓
    $0$
  • D
    $2$
✓

Answer

Correct option: C.
$0$
If $\text{x}_i'\text{s}$ are the midpoints of the class intervals of grouped data, $\text{f}_i'\text{s}$ are the corresponding frequencies and is the mean,
then $\sum(\text{f}_\text{i}\text{x}_\text{i}-\bar{\text{x}})$is equal to $0$.
i.e the difference between the sum of product of frequencies and mid values of corresponding class intervals of the grouped data and the sum of their mean value is equal to zero.

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