1. Missing frequency when Median is given example
1. Find missing frequency 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 frequency 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.
Any bug, improvement, feedback then
|
