1.

Following information pertains to the daily income of 150 families. Calculate the arithmetic mean. {:("Income (in Rs.)",,"Number of Families"),("More than 75",,""150),("More than 85",,""140),("More than 95",,""115),("More than 105",,""95),("More than 115",,""70),("More than 125",,""60),("More than 135",,""40),("More than 145",,""25):}

Answer»

Solution :Conversion of a CUMULATIVE Frequency Distribution into a Simple Frequency Distribution
(Assumed Average, A = 110)

`barX=A+(sumfd')/(sumf)xxC`
`=110+(95)/(150)xx10`
`=110+6.3`
`=116.3`
`:." Arithmetic mean = Rs. 116.3."`


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