Find the mode of the following frequency distribution:
Class $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ $80-90$
Frequency $8$ $12$ $27$ $43$ $55$ $37$ $18$

  • A
    $640$
  • B
    $62$
  • C
    $63$
  • D
    $64$

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For some given data,if $Z - M = 12$,then $M - \bar{x} = \ldots \ldots \ldots$

The mean of $10$ observations is $15.7$. If a new observation $19$ is included,the new mean is ..........

In the formula $Z = l + \left( \frac{f_{1} - f_{0}}{2f_{1} - f_{0} - f_{2}} \right) \times c$ for the mode,$f_{1} = \ldots \ldots \ldots$

The following table gives the number of pages written by Sarika for completing her own book over $30$ days:
Number of pages written per day $16-18$ $19-21$ $22-24$ $25-27$ $28-30$
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The mean of $15$ observations is $25$. Later on,it was found that one observation was taken by mistake as $20$ instead of $50$. Then,the correct mean is:

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