1. Find value of `x` where Harmonic mean`=24` for data `x,30`Solution:HM `=2/(1/x+1/30)`
`24=2/(1/x+1/30)`
`1/x+1/30=2/24`
After solving, we get
`x=20`
2. Find value of `x` where Harmonic mean`=48` for data `40,x`Solution:HM `=2/(1/40+1/x)`
`48=2/(1/40+1/x)`
`1/40+1/x=2/48`
After solving, we get
`x=60`
3. Find value of `x` where Harmonic mean`=3.4286` for data `2,x,8`Solution:HM `=3/(1/2+1/x+1/8)`
`3.4286=3/(1/2+1/x+1/8)`
`1/2+1/x+1/8=3/3.4286`
After solving, we get
`x=4.0001`
4. Find value of `x` where Harmonic mean`=3.1169` for data `2,x,4,5`Solution:HM `=4/(1/2+1/x+1/4+1/5)`
`3.1169=4/(1/2+1/x+1/4+1/5)`
`1/2+1/x+1/4+1/5=4/3.1169`
After solving, we get
`x=3.0001`
5. Find value of `x` where Harmonic mean`=3.4483` for data `x,3,4,5,6`Solution:HM `=5/(1/x+1/3+1/4+1/5+1/6)`
`3.4483=5/(1/x+1/3+1/4+1/5+1/6)`
`1/x+1/3+1/4+1/5+1/6=5/3.4483`
After solving, we get
`x=2`
This material is intended as a summary. Use your textbook for detail explanation.
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