1. If the mean of \(x_1, x_2, x_3, ....., x_n\) is \(\bar{x}\), then the mean of \(x_1 + k, x_2 + k, x_3 + k, ....., x_n + k\) will be _____.

2. If the average of the quantities \(x_1, x_2, x_3,.......,x_{10}\) is 20, then the average of \(x_1+4, x_2+4, x_3+4,...., x_{10}+4\) will be—?

(a) 20 (b) 24 (c) 40 (d) 10

3. If the combined mean of \(x_1, x_2, x_3, …, x_n\) is \(\bar{x}\), then the combined mean of \(\frac{x_1 - c}{h}, \frac{x_2 - c}{h}, …, \frac{x_n - c}{h}\) will be \(h\bar{x} + c\).

4. If the average of the \(n\) numbers \(x_1, x_2, x_3, ..., x_n\) is \(\bar{x}\), then the average of \(Kx_1, Kx_2, Kx_3, ..., Kx_n\) is —— (where \(K \ne 0\)).

5. If the average of \(x_1, x_2, x_3, ... , x_n\) is \(\bar{x}\), then the average of \(k + x_1, k + x_2, k + x_3, ... , k + x_n\) is \(k + \bar{x}\).