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Find missing frequency, {{5-10,10-15,15-20,20-25,25-30,30-35},{11,20,35,20,a,6}},mean=18.1

Solution:
Your problem `->` missing frequency, {{5-10,10-15,15-20,20-25,25-30,30-35},{11,20,35,20,a,6}},mean=18.1


Class
`(1)`
Frequency `(f)`
`(2)`
Mid value `(x)`
`(3)`
`d=(x-A)/h=(x-27.5)/5`
`A=27.5,h=5`
`(4)`
`f*d`
`(5)=(2)xx(4)`
5 - 1011 7.5 `7.5=(5+10)/2` -4 `d=(7.5-27.5)/5=(-20)/5=-4`
`d=(x-27.5)/5`
 `-44` `-44=11xx-4`
`(5)=(2)xx(4)`
10 - 1520 12.5 `12.5=(10+15)/2` -3 `d=(12.5-27.5)/5=(-15)/5=-3`
`d=(x-27.5)/5`
 `-60` `-60=20xx-3`
`(5)=(2)xx(4)`
15 - 2035 17.5 `17.5=(15+20)/2` -2 `d=(17.5-27.5)/5=(-10)/5=-2`
`d=(x-27.5)/5`
 `-70` `-70=35xx-2`
`(5)=(2)xx(4)`
20 - 2520 22.5 `22.5=(20+25)/2` -1 `d=(22.5-27.5)/5=(-5)/5=-1`
`d=(x-27.5)/5`
 `-20` `-20=20xx-1`
`(5)=(2)xx(4)`
25 - 30a 27.5 `27.5=(25+30)/2` 0 `d=(27.5-27.5)/5=(0)/5=0`
`d=(x-27.5)/5`
 `0` `0=axx0`
`(5)=(2)xx(4)`
30 - 356 32.5 `32.5=(30+35)/2` 1 `d=(32.5-27.5)/5=(5)/5=1`
`d=(x-27.5)/5`
 `6` `6=6xx1`
`(5)=(2)xx(4)`
---------------
`n=92+a`----------`sum f*d=-188`


Mean `bar x = A + (sum fd)/n * h`

`18.1 = 27.5 + (-188)/(92+a) * 5`

`-9.4 = (-188)/(92+a) * 5`

`92+a = (-188)/(-9.4) * 5`

`92+a = 100`

`a = 100 - 92`

`a = 8`

Thus, the missing frequency is `8`.






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