The times,in seconds,taken by $150$ athletes to run a $110\, m$ hurdle race are tabulated below:
Class (seconds) $13.8-14.0$ $14.0-14.2$ $14.2-14.4$ $14.4-14.6$ $14.6-14.8$ $14.8-15.0$
Frequency $2$ $4$ $5$ $71$ $48$ $20$

The number of athletes who completed the race in less than $14.6\, s$ is:

  • A
    $11$
  • B
    $71$
  • C
    $130$
  • D
    $82$

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For a given frequency distribution,the cumulative frequency of the fourth class is $25$ and the frequency of the fourth class is $10$. Then,the cumulative frequency of the third class is ...............

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:

$A$ life insurance agent found the following data for the distribution of ages of $100$ policy holders. Calculate the median age,if policies are given only to persons having age $18$ years onwards but less than $60$ years.
Age (in years)Number of policy holders
Below $20$$2$
Below $25$$6$
Below $30$$24$
Below $35$$45$
Below $40$$78$
Below $45$$89$
Below $50$$92$
Below $55$$98$
Below $60$$100$

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In the formula $M = l + \frac{(\frac{n}{2} - cf)}{f} \times h$ for the median,$f = \ldots \ldots \ldots$

The percentage of marks obtained by $100$ students in an examination are given below:
Marks $30-35$ $35-40$ $40-45$ $45-50$ $50-55$ $55-60$ $60-65$
Frequency $14$ $16$ $18$ $23$ $18$ $8$ $3$

Determine the median percentage of marks.

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