In experimental physics, it is important to repeat measurements. Assuming that errors are random, show that if the error in making a single measurement of a quantity X is Δ, the error obtained after using n measurements is Δ/n. (Hint: after n measurements, the procedure would be to take the n results and average them. So you require the standard deviation of the quantity Y=(X1+X2+⋯+Xn)/n where X1,X2,…,Xn can be assumed to be independent, and each has standard deviation Δ.)