In the formula $\bar{x} = A + \frac{\Sigma f_{i} d_{i}}{\Sigma f_{i}}$ for the mean,$d_{i} = \dots$

  • A
    $A - f_{i}$
  • B
    $A - x_{i}$
  • C
    $f_{i} - A$
  • D
    $x_{i} - A$

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For the calculation of mode of the following frequency distribution,$f_{0} = \dots \dots \dots \dots \dots$
Class $1-3$ $3-5$ $5-7$ $7-9$ $9-11$
Frequency $6$ $3$ $8$ $2$ $1$

Find the unknown entries $a, b, c, d, e, f$ in the following distribution of heights of students in a class:
Height (in $cm$) Frequency Cumulative frequency
$150-155$ $12$ $a$
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$170-175$ $e$ $48$
$175-180$ $2$ $f$
Total $50$ -

For a given frequency distribution,$n=100, A=15$ and $\bar{x}=15$. Then,$\Sigma f_{i} d_{i} = \ldots$

For a given frequency distribution,$n=200$,$\Sigma f_{i} d_{i}=0$ and $A=25$. Then,$\bar{x}=\ldots \ldots \ldots \ldots$

Midpoint (Midvalue) of the class $15-30$ is ........

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