1. Find missing value from the following data
`-9,-4,a,5,8,11` and median`=2`Solution:Here `-9,-4,a,5,8,11`
`M = (text{value of } (n/2)^(th) text{ observation} + text{value of } (n/2 + 1)^(th) text{ observation})/2`
`2 = (text{value of } (6/2)^(th) text{ observation} + text{value of } (6/2 + 1)^(th) text{ observation})/2`
`2 = (text{value of } 3^(rd) text{ observation} + text{value of } 4^(th) text{ observation})/2`
`2=(a+5)/2`
`4=a+5`
`a=4-5`
`a=-1`
2. Find missing value from the following data
`70,76,80,85,85,x,95,96,100,108` and median`=85`Solution:Here `70,76,80,85,85,x,95,96,100,108`
`M = (text{value of } (n/2)^(th) text{ observation} + text{value of } (n/2 + 1)^(th) text{ observation})/2`
`85 = (text{value of } (10/2)^(th) text{ observation} + text{value of } (10/2 + 1)^(th) text{ observation})/2`
`85 = (text{value of } 5^(th) text{ observation} + text{value of } 6^(th) text{ observation})/2`
`85 = (85+x)/2`
`170=85+x`
`x=170-85`
`x=85`
This material is intended as a summary. Use your textbook for detail explanation.
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