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Find out median value of the following d...

Find out median value of the following distribution:
`{:("Wege Rate (Rs.)",0-10,10-20,20-30,30-40,40-50),("Number of Workers", " "22," "38," "46," "35," "20):}`

Text Solution

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`:.` M = Size of `((N)/(2))` th item , N= `sumf=161`
`:.` M= Size of `((161)/(2))` th item
= Size of 80.5th item
80. 5th item lies in 106th cumulative frequency . The class interval corresponding to cumulative frequency is 20-30 , which, therefore , is median class interval . that is , the value of the median must lie within the renge of 20-30 . the following formula is applied to identify the value of the median.
`M=l_(1)+((N)/(2)-c.f.)/(f)xxi`
`=20+((161)/(2)-60)/(46)xx10=20+(80.5-60)/(46)xx10`
`=20+(20.5)/(46)xx10=20+4.46=24.46`
Median = Rs.24.46.
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