If the mean of the numbers 0, (x+2), (3x+6), and (4x+8) is 4, find their mean deviation.

In how many ways can the word MATHEMATICS be arranged?

Given that the various faces of a fair dice 1, 2, 3, 4, 5, 6 appeared 30, 43, 54, 40, 41, 32 times respectively in a single toss. Picture the figures as being represented in a simple table with number (X) against frequency (f).

If a pie chart is used to depict the data, the angle corresponding to 4 is?

If U = {x : x is an integer and 1 \(\leq\) x \(\leq\) 20}
E\(_1\) = {x : x is a multiple of 3}
E\(_2\) = {x : x is a multiple of 4}
and an integer is picked at random from U, find the probability that it is not in E\(_2\)

The variance of x, 2x, 3x, 4x and 5x is