Class Intervals $30 - 40$ $40 - 50$ $50 - 60$ $60 - 70$ $70 - 80$
Frequency $120$ ? $200$ ? $185$
Cumulative Frequency $120$ ? ? ? $900$
Cumulative Frequency for class $60 - 70 =$ ?

715

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465

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145

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265

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Solution

The correct option is A $715$
Class Intervals Wages Frequency(f) Cumulative Frequency
$30 - 40$ $120$ $120$
$40 - 50$ $f_{1}$ $120 + f_{1}$
$50 - 60$ $200$ $320 + f_{1}$
$60 - 70$ $f_{2}$ $320 + f_{1} + f_{2}$
$70 - 80$ $185$ $900$
Since median is given to be $59.25$ , the median class is $50 - 60$ . Thus, we can write, Solving this for $f_{1}$ we get, $f_{1} = 145$ ; Further $f_{2} = 900 - (120 + 145 + 200 + 185) = 250$ .

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Similar questions

40 - 50 =

If the cumulative frequency for the class interval (30-40) is 70 and for class interval (50-60) is 150 , then the value of y =

$\begin{matrix} Class Interval & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 Frequency & 12 & 20 & x & 18 & 10 & y \end{matrix}$

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90,

50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

60

Class-intervals	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$	$100 - 110$
Frequency	$30$	$25$	$45$	$15$	$20$	$40$

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