Correct option is (B) 45
Given that mean of the data \(x_1, x_2, x_3 , x_4 , x_5\) is 15.
\(\therefore\) \(\frac{x_1+x_2+x_3+x_4+x_5}5=15\)
\(\Rightarrow\) \(x_1+x_2+x_3+x_4+x_5\) \(=15\times5=75\) _________(1)
If each observation is multiplied by 3 then
Mean \(=\frac{3x_1+3x_2+3x_3+3x_4+3x_5}5\)
\(=\frac35(x_1+x_2+x_3+x_4+x_5)\)
\(=\frac35\times75=45\)
Correct option is (D) 16
Let \(l,b\;and\;h\) are length, breadth and height of the original cuboid.
After increasing each dimension of cuboid by 4 times,
length of formed cuboid \(=4\,l,\)
breadth of formed cuboid = 4b and
height of formed...
