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

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 C $145$
Class Interval 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, $f_{2} = 900 - (120 + 145 + 200 + 185) = 200$ .

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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 =

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