Rachana had an average score of $45$ from $6$ tests. Her teacher dropped her lowest score,which is $30$,and calculated the average of the remaining scores to decide her grade. Which of the following gives her new average score?

  • A
    $\frac{(45 \times 5 - 30)}{5}$
  • B
    $\frac{(45 \times 5 - 30)}{6}$
  • C
    $\frac{(45 \times 6 - 30)}{5}$
  • D
    $\frac{(45 \times 6 - 30)}{6}$

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

If $Z+M=88$ and $Z-M=2$,then $M=\ldots \ldots \ldots \ldots . .$

The median of the following frequency distribution is $525$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$.
Class $0-100$ $100-200$ $200-300$ $300-400$ $400-500$ $500-600$ $600-700$ $700-800$ $800-900$ $900-1000$
Frequency $2$ $5$ $x$ $12$ $17$ $20$ $y$ $9$ $7$ $4$

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Find the mean of the following frequency distribution:
Class $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$
Frequency $2$ $10$ $40$ $25$ $13$ $10$
(in $.7$)

In the following distribution:
Monthly income range (in $Rs.$) Number of families
Income more than $10000$ $100$
Income more than $13000$ $85$
Income more than $16000$ $69$
Income more than $19000$ $50$
Income more than $22000$ $33$
Income more than $25000$ $15$

The number of families having an income range (in $Rs.$) of $16000-19000$ is:

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