Find the first and thirsd quartiles from the following distribuatin :

Explanation

`Q_(1)=N/4"th item"=145/4 "th item"=36. 25"th item" `
`Q_(1)"calss" =100-200`
`sumf_(1)=20, f_(Q1)=30,l_(1)=100,i=100`
`Q_(1)=l_(1)+((((n)/(4)-sum))/(f_(Q1)))i`
`=100+((36.25-20)/(30))xx100`
`=100+(16.25xx100)/(30)=100+(1625)/(30)`
`=100+54.17`
= Rs. 154. 17 marks approx.
`Q_(3)=l_(1)+(((3N)/(2)-sumf_(1))/(f_(Q3)))xxi`
`Q_(3)"class"=(3N)/(4)=(3cc145)/(4)"th item"=(435)/(4)"th item"=108.75"th item"`
`Q_(3)"calss"=300-400`
`sumf_(1)=85,f_(Q3)=40,l_(1)=300,i=100`
`Q_(3)=300+((108.75-85)/(40))xx100=300+(23.75xx100)/(40)`
`=300+(3725)/(40)=300+59.375=Rs. 359.375`