Mean =20x1+x2+x3+……+x19+25=10⇒x1+x2+x3+………+x19+25=200
⇒x1+x2+x3+………+x19=175
New mean =20x1+x2+x3+……+x19+35=20175+35=10.5
S.D. =20x12+x22+x32+……+x192+(25)2−(10)2
⇒2.5=20x12+x22+x32+……+x192+(25)2−(10)2
⇒x12+x22+x32+……+x192=1500
New S.D.=20x12+x22+x32+……+x192+(35)2−(10.5)2
=201500+(35)2−(110.25)
=26
(α,β)=(10.5,26)