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Find the unknown entries a,b,c,d,e and f...

Find the unknown entries a,b,c,d,e and f in the following distribution of heights of students in a class

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On comparing last two tables, we get
a=12
`therefore =12+b=25`
`Rightarrow b=25-12=13`
22+b=c
`Rightarrow c=22+13=35`
22+b+d=43
`Rightarrow 22+13+d=43`
`Rightarrow 22+13+d=43`
`Rightarrow d=43-35=8`
and 22+b+d+e=48
`Rightarrow 22+13+8+e=48`
`Rightarrow e=48-43=5`
and 24+b+d+e=f
`Rightarrow 24+13+8+5=f`
`therefore f=50`
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